Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.
It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.
Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.
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Pease answer number 2
Answer: The functions has 3 real zeros because it cross the x-axis 3 times
As x goes towards infinity, f(x) goes towards infinity
As x goes towards negative infinity, f(x) goes towards negative infinity
Which of the following are true about Principal Component Analysis (PCA)? (2 correct answers)a) PCA is intended for use with categorical variablesb) The idea of PCA is to find a linear combination of the two variables that contains most, even if not all, of the information, so that this new variable can replace the two original variables.c) PCA is intended for use with quantitative variablesd) Normalization (= standardization) is usually performed in PCA when analysis is conducted on covariances
Principal Component Analysis (PCA) is a statistical technique used to reduce the number of variables in a dataset.
It is used to transform a set of correlated variables into a smaller set of uncorrelated variables, called principal components, which capture the most variance in the data. The formula for PCA can be written as:
X' = ΣX - μ
Where X is the original data, X' is the transformed data, μ is the mean of the original data, and Σ is the covariance matrix of the original data.
To calculate PCA, the mean of the original data is first subtracted from each of the observations. This is then multiplied by the covariance matrix, which is a matrix of the variances and covariances of the original data. The resulting product is the transformed data, which is a matrix of uncorrelated principal components. The principal components are the linear combinations of the original variables that capture most of the variance in the data. The amount of variance captured by each component is determined by the eigenvalues of the covariance matrix. The eigenvectors of the covariance matrix are the principal components.
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Triangle DEF is congruent to Triangle DFG by the
A.ASA Postulate
B.SSS Postulate
C.SAS Postulate
D.SSA Postulate
Answer: SSS Postulate
Step-by-step explanation:
Since DF is congruent to FD, there are three congruent sides.
Which ordered pair represents point D?
(4, -4)
(-4, -4)
(4, 4)
(-4, 4)
The point must be (-4,-4)
what is the Cartesian coordinate system?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,
Given here : the Point D in the graph.
Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate). The origin is located at (0,0).
we can clearly read that the point D is -4 points away from the y-axis and -4 units away from the x-axis to the right. It also lies in the third quadrant in the co-ordinate plane.
Hence, The point must be (-4,-4)
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Which of the following are factor pairs for 63? Select all that apply.
A.
2
×
126
B.
3
×
21
C.
4
×
13
D.
4
×
16
E.
7
×
9
The required factors of the number 63 is 21×3.So, option(B) is correct.
What is factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
How to find factors?Algebraic expressions are written as the sum of two or more expressions using factoring formulas. The following are some crucial factoring formulas: (a + b)2 = a2 + 2ab + b.
According to question:We have to find the factors of the number 63
= 63
= 9×7
= 3×3×7
= 21×3
Thus required factors of the 63 are 21×3.
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if six of the homes are new and four have previously been occupied and if the six homes to visit are randomly chosen, what is the probability that all six are new? (the same answer results regardless of whether order is considered.)
The probability that all six homes visited are new is (3/5)^6.
There are a total of 6 + 4 = 10 homes, of which 6 are new and 4 have been previously occupied.
The probability of choosing a new home in one draw is 6/10 = 3/5.
To find the probability that all six homes visited are new, we can multiply the probability of choosing a new home in each of the six draws:
(3/5) * (3/5) * (3/5) * (3/5) * (3/5) * (3/5) = (3/5)^6
So, the probability that all six homes visited are new is (3/5)^6.
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The surface area of a cylinder with a radius of 3 inches is 78pi square inches. What is the height of the cylinder in inches? (Do not enter units)
The height of the cylinder in inches is 10 inch.
What is Surface Area?The total area of an object's external facing surfaces is its surface area. The base, top, and lateral surfaces (sides) of the object's surface are added together to get the object's overall surface area.
Given:
radius = 3 inch
Surface Area of cylinder = 78π
So, Surface Area of cylinder = 2πr (h+ r)
78π = 2π x 3 ( h+ 3)
78 = 6 (h+ 3)
13 = h+ 3
h= 10 inch
Hence, the height is 10 inch.
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Which value of x results in short circuit evaluation, causing y < 4 to not be evaluated?(x >= 7) (y < 4)678No such value
The value of x that results in short circuit evaluation, causing (y < 4) not to be evaluated, is any value that is greater than or equal to 7.
Short Circuit Evaluation is a concept in computer programming where certain expressions are evaluated only if necessary.
In this case, the expression (x >= 7) (y < 4) 678, we need to find the value of x that results in short circuit evaluation and causes (y < 4) not to be evaluated.
In this expression, the first expression (x >= 7) is evaluated first. If the value of x is greater than or equal to 7, then the expression is considered true and the evaluation process moves to the next expression (y < 4).
However, if the value of x is less than 7, then the expression is considered false and the evaluation process stops.
In this case, (y < 4) is not evaluated because the result of the expression is already known to be false, and therefore, evaluating it would be a waste of resources.
If x is less than 7, then (y < 4) will be evaluated. It is important to keep in mind that short circuit evaluation is a technique used to optimize the evaluation process and make it more efficient.
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the starlight diner's lunch special includes a choice of one each from 6 appetizers, 5 different salads, 4 meat dishes, 4 sides, 4 breads, and 5 drinks. how many different ways are there to choose a lunch special at the diner?
There are 9600 different ways to choose a lunch special at the starlight diner.
In the given question, there are:
Number of appetizers = 6
Number of salads = 5
Number of meat dishes = 4
Number of sides = 4
Number of breads = 4
Number of drinks = 5
We know that the number of ways to choose r elements from n elements is equal to nCr.
Since, the starlight diner's lunch special includes a choice of one each, then the number of ways in which we can choose a lunch special at the diner will be:
6C1 x 5C1 x 4C1 x 4C1 x 4C1 x 5C1 = 9600
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two players a and b claim they are better suppose 30 games and 25 games what is h0
Null hypothesis: equal skill levels for both players, difference in wins due to chance.
What is null hypothesis ?
The null hypothesis is a characteristic arithmetic theory suggesting that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
The null hypothesis is typically expressed mathematically as:
H0: pA - pB = 0
where pA and pB are the true winning percentages of players A and B, respectively.
In this case, the null hypothesis is that the two players have equal skills and any difference in the number of games won is simply due to chance, not due to any real difference in ability between the two players.
Null hypothesis: equal skill levels for both players, difference in wins due to chance.
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43. At the beginning of the month, Emika had $24 in her school cafeteria account. The table below
shows how her account balance changed over the course of three weeks. (Positive change means
money she added into her account, while negative change means money she spends.)
1.
2
Week
1
2
3
Beginning
Balance
($)
24
8
-18
Final
Balance
($)
8
-18
Change
($)
16
26
-12
Expression to show your work
24-16 = 8
8-26-18
-18--12-6
Complete the table for weeks 2-3.
How much would Emika have to deposit into the account during week 4 so that the final
balance is positive?
Answer:
$6
Step-by-step explanation:
Week 4 Beginning Balance: -6
Final Balance: ?
Change: ?
Emika would need to deposit at least $6 into her account during week 4 in order for the final balance to be positive.
Peter scored 40 goals at soccer practice his ratio of goals to misses was 5:7 how many times did he miss
The number of times that he misses will be 56.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Peter scored 40 goals at soccer practice his ratio of goals to misses was 5: 7.
Let 'm' be the number of miss. Then the equation is given as,
40 / m = 5 / 7
Simplify the equation, then we have
40 / m = 5 / 7
8 / m = 1 / 7
m = 7 x 8
m = 56
The number of times that he misses will be 56.
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in a survey one fourth young girl like sour taste only and one third like chilly taste. if 50 of them do not like both the taste, find the total number of young girl
what the answer for 18k+22p-10
Answer:
92
Step-by-step explanation:
Please show all your work. I will give brainiest if done.
The Takac Family decided to join an online music membership site where they can download individual songs, or entire albums and get them at discount prices. Anna downloaded 5 individual songs and 1 album and paid $14.90. Owen downloaded 3 individual songs and 2 albums and paid $21.75.
Mrs. T was a little upset when these charges came up on her bank statement, so she wanted to know how much they were actually being charged for each individual song that was downloaded and for each full album that was downloaded.
Can you help?
Set up an solve a system of equations that models this situation. Be sure to explain what each of your variables represents and also give a detailed explanation of what your solution represents in the context of this situation.
Do you think this membership site is a good deal?
Show all the work using the RACE to display your solution and make sure to answer all that the problem asks for. Scan and upload below.
a) A system of equations that models this situation and helps Mrs. T to know how much the family is being charged for each individual song and each full album downloaded is:
5x + y = 14.903x + 2y = 21.75.b) From the solution of the simultaneous equations, we can determine that each individual song downloaded costs $1.15 while each full album costs $9.15.
What is a system of equations?A system of equations is two or more equations or simultaneous equations, solved concurrently.
Individual Songs Album Total Costs
Anna's download 5 1 $14.90
Owen's download 3 2 $21.75
Let individual songs = x
Let Album = y
Equations:5x + y = 14.90... Equation 1
3x + 2y = 21.75... Equation 2
Multiply Equation 1 by 2:
10x + 2y = 29.80... Equation 3
Subtract Equation 2 from Equation 3:
10x + 2y = 29.80
-
3x + 2y = 21.75
7x = 8.05
x = 1.15
= $1.15
From Equation 1, substitute x = 1.15 to get y:
5x + y = 14.90
5(1.15) + y = 14.90
5.75 + y = 14.90
y = 9.15
y = $9.15
Check Equation 2:
3x + 2y = 21.75
3(1.15) + 2(9.15) = 21.75
3.45 + 18.3 = 21.75
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In the figure, ABC is a right angled triangle and angle BAC = 90°. If AD perpendicular to BC and BD=DC then prove that BC² = 4AD².
2
SEE ANSWERS
use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = x 3x4 5 , a = −1
Using the definition of continuity and the properties of limits to show that the function is continuous at the given number f(x)=-5
continuity of a real function is provided generally in a calculus’s introductory course in terms of a limit’s idea.
First, a function f with variable x is continuous at the point “a” on the real line, if the limit of f(x), when x approaches the point “a”, is equal to the value of f(x) at “a”, i.e., f(a).
Second, the function (as a whole) is continuous, if it is continuous at every point in its domain.
We know that the value of f near x to the left of a, i.e. left-hand limit of f at a and the value of f near x to the right f a,
i.e. right-hand limit are equal, then that common value is called the limit of f(x) at x = a. Also,
a function f is said to be continuous at a if limit of f(x) as x approaches a is equal to f(a).
A function f is continuous at a number a if
[tex]\lim_{x \to\n} f( x) = f(a)[/tex]
f(x) = [tex]x ^3x^4 5[/tex]
= [tex]\lim_{x \to \ a} x^3 * \lim_{x \to \ a} x^4 *5\\= (-1)^3 * (-1)^4 *5\\= -1 * 1* 5\\= -5[/tex]
Using the definition of continuity and the properties of limits to show that the function is continuous at the given number f(x)=-5
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While packing , Goerge and harri did a number of foolih and funny thing. Name any five
The true statements are (i),(iii),(iv),(vi),(vii), and (ix).
While packing the hamper, George and Harris do a number of foolish and funny things. The true statements are as follows:
(i) They started with breaking a cup.
(iii) They squashed a tomato.
(iv) They trod on the butter.
(vi) They put things behind them and couldn't find them.
(vii) They stepped on things.
In the descriptions, it appears that George and Harris were not very skilled at packing and ended up making a lot of mistakes, such as breaking dishes, squashing food, losing items, and stepping on things. So, statement (ii), (v), (viii) is false because they did not pack the pictures well, and statement (x) is false because they were not very good at packing.
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--The given question is incomplete; the complete question is
"While packing the hamper, George and Harris do a number of foolish and funny things. Tick the statements that are true.
(i) They started with breaking a cup.
(ii) They also broke a plate.
(iii) They squashed a tomato.
(iv) They trod on the butter.
(v) They stepped on a banana.
(vi) They put things behind them and couldn't find them.
(vii) They stepped on things.
(viii)They packed the pictures at the bottom and put heavy things on top.
(ix) They upset almost everything.
(x) They were very good at packing."--
Find all real solutions to\[x^2 - 12x + 40 = 0.\]
Answer: There are no Raeal Solutions
Step-by-step explanation:
1. Once you use the quadratic formula, you'll simply get an imaginary value as the value within the square root will be negative.
in a study to determine whether miles driven is a good predictor of trade-in value, 11 cars of the same age, make, model, and condition were randomly selected. the following scatterplot shows trade-in value and mileage for those cars. five of the points are labeled a, b, c, d, and e, respectively. the figure represents a scatter plot in the coordinate plane with 11 data points, several of which are labeled with the letters a through e. the vertical axis is labeled miles driven, in thousands, and the numbers 50 through 100, in increments of 10, are indicated. the vertical axis is labeled value, and the numbers 4000 dollars through 6500 dollars, in increments of 500, are indicated. the values represented by the data points are as follows. note that all values are approximate. point 1, which is labeled as point a. 51 comma 6200.point 2. 60 comma 5700.point 3. 61 comma 6400.point 4, which is labeled as point b. 62 comma 5700. point 5, which is labeled as point c. 68 comma 5400.point 6. 72 comma 5800.point 7, which is labeled as point d. 83 comma 4700.point 8. 98 comma 4600.point 9. 99 comma 4400.point 10. 92 comma 4200.point 11, which is labeled as point e. 96 comma 6500. which of the five labeled points is the most influential with respect to a regression of trade-in value versus miles driven?
Step-by-step explanation:
and a line going from the point 0 comma 100 through the point 2 comma 120
Question 6(Multiple Choice Worth 2 points)
(Graphing Linear Equations MC)
Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative
[HELP! WILL GIVE BRAINLIEST] Determine the value of θ.
Answer:20.9248 degrees
Step-by-step explanation:
sin(θ)=opposite/hypotenuse
θ=sin⁻¹(opposite/hypotenuse)
θ=sin⁻¹(5/14)
θ=20.9248 degrees or θ=0.3652 radians
if u(x,t) is known, give an expression for the total thermal energy in a rod (0 ≤x ≤l).
The expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
[tex]\int_0^{L}cupAdx[/tex].
We are informed that a 1-D rod with a fixed cross-sectional area exists.
A, and we are trying to find the thermal energy between the sites x=0 and x=L.
Thermal energy per unit volume:e(x,t).
However, we do not want to think about the full rod part just yet. We wish to start by taking into account a narrow slice of the rod. We have an easy equation for that if the thermal energy density is constant across the volume.
Slice of a rod being considered: segment between x and x+Δx
Total energy with constant thermal energy density=e(x,t)AΔx
We also know that the temperature u(x,t) and specific heat =c(x) are independent of each other.
This means that we can now introduce the equations for the heat energy per unit mass and the mass density.
heat energy per unit =c(x) u(x,t),
total mass of the thin slice with thickness=AΔx ρ(x)
the total thermal energy in slice =c(x) u(x,t)AΔx ρ(x)
e(x,t)AΔx=c(x) u(x,t)AΔx ρ(x)
e(x,t)=c(x)u(x,t) ρ(x)
the expression for the total thermal energy in the rod from
0 to L by the following equation. This equation is the solution.
[tex]\int_0^{L}cupAdx[/tex]
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the average package of Oreos has 51 cookies. If there are 3 rows of Oreos in each package,how many cookies are in each row? what if there were four rows of cookies how many cookies would be in a package
Answer:
1/ 17 cookies in each row
2/ 68 cookies in a package
Step-by-step explanation:
We know
The package of Oreos has 51 cookies
1/
If there are 3 rows of Oreos in each package, how many cookies are in each row?
51 / 3 = 17 cookies
So, there are 17 cookies in each row.
2/
If there were four rows of cookies, how many cookies would be in a package?
We know each row has 17 cookies
17 x 4 = 68 cookies
So, there are 68 cookies in a package.
A cylindrical rod measures 4 inches long and the circumference of one of its bases is 12π inches. the rod is cut into two equally-sized pieces and then all surfaces are painted. what is the area that is painted? use π≈3.14. enter your answer, rounded to the nearest tenth, in the box.
The area painted is 376.8 sq. inches (approximately)
We can start solving the problem by calculating the radius of the base of the rod. We can use the formula for the circumference of a circle:
circumference = 2πr
Where r is the radius of the circle.
Given that the circumference of one of the bases of the rod is 12π inches, we can set up the equation:
12π = 2πr
r = 12π/2π = 6
So the radius of the base of the rod is 6 inches.
Now we can use the radius to find the area of one base of the rod. The area of a circle is given by the formula:
A = πr²
So the area of one base of the rod is:
A = π × 6² = 36π
Now we can use the length and radius of the rod to find the lateral surface area of the rod.
The formula for the lateral surface area of a cylinder is :
L.S.A = 2πrh
Where h is the height of the cylinder. In this case, the height of the cylinder is 4 inches.
L.S.A = 2π × 6 × 4 = 48π
So the lateral surface area of the rod is 48π inches.
Finally, to find the total area painted, we can add the area of the two bases and the lateral surface area.
Total area painted = 2 × 36π + 48π = 120π sq inches.
Now we can use π≈3.14 and get the area painted to the nearest tenth.
Total area painted = 120×3.14 = 376.8 sq. inches
Therefore, the area painted is 376.8 sq. inches (approximately)
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Use the image below to answer questions 3 and 4.
What is the value of x?
Answer: x =
Answer:
x=18
Step-by-step explanation:
Suppose that Ford Motor Co. earns $5000 profit each time a person buys a car. We want to determine how the expected profit earned from a customer depends on the quality of Ford’s cars. We assume that a typical customer will purchase 10 cars in a lifetime. The customer will purchase a car now (year 1) and then purchase a car every five years; that is, during year 6, year 11, and so on. Assume that GM is Ford’s only competitor. We also assume that if the customer is satisfied with the purchased car, they will buy the next car from the same company, but if not satisfied, they will buy the next car from the other company. Currently Ford and GM both produce cars that satisfy 85% of its customers. Consider a customer whose first car is a Ford car. If profits are discounted at 12% annually, use simulation to estimate the value of this customer to Ford. Also estimate the value of a customer to Ford if it can raise its customer satisfaction rating to 90%.
Please show in excel format
This is a simulation question and requires calculating the expected profit of Ford over the customer's lifetime based on the customer satisfaction rate and the discount rate.
To estimate the value of a customer to Ford, we need to simulate the customer's purchasing behaviour over their lifetime. To do this, we can use a random number generator to determine whether a customer is satisfied with the car they purchased and whether they will continue to buy from Ford or switch to GM.
The simulation can be repeated several times to get an average value. The expected profit of Ford from a customer can be calculated by multiplying the profit per car by the number of cars the customer is expected to purchase from Ford. The discounted value of this expected profit can then be calculated using the discount rate.
If Ford's customer satisfaction rate is 85%, the expected value of a customer to Ford can be estimated as follows:
1. Simulate the customer's purchasing behaviour for 10 cars over their lifetime, using a random number generator to determine whether the customer is satisfied with the car and whether they will continue to buy from Ford or switch to GM.
2. If the customer is satisfied with their first car (Ford), multiply the profit per car ($5000) by the number of cars the customer is expected to purchase from Ford over their lifetime.
3. If the customer is not satisfied with their first car (Ford), the customer will buy their next car from GM.
4. Repeat the simulation several times and take the average of the expected profits.
5. Discount the expected profit over the customer's lifetime at 12% annually.
If Ford raises its customer satisfaction rate to 90%, the expected value of a customer to Ford can be re-estimated in the same way as described above, with the updated customer satisfaction rate.
It is important to note that this is a simplified model, and the actual value of a customer to Ford may be different based on various other factors such as market conditions, competition, and customer behaviour.
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A chain of gyms has 3.5×105 members throughout the U.S. Their total annual revenue from membership fees is 4.2×107 dollars. Assuming each member pays the same amount, what is the annual membership fee per person?
Write your answer in standard form. Do not use exponents.
The annual membership fee per person is 120 dollars.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, A chain of gyms has 3.5×10⁵ members throughout the U.S. Their total annual revenue from membership fees is 4.2×10⁷ dollars.
Therefore, The annual membership fee per person is,
= (4.2×10⁷)/(3.5×10⁵).
= 1.2×10².
= 1.2×100
= 120 dollars.
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Determine the intercepts of the line. − 7 x − 6 y = − 15
The intercepts of the linear function in this problem are defined as follows:
x - intercept: (15/7, 0).y - intercept: (0, 5/2).How to obtain the intercepts of a function?The function for this problem is defined as follows:
-7x - 6y = -15.
The x-intercept of the function is the value of x when y assumes a value of 0, hence:
-7x = -15
7x = 15
x = 15/7
x = 2.1429.
The y-intercept of the function is the value of y when x assumes a value of 0, hence:
-6y = -15
6y = 15
y = 15/6
y = 5/2
y = 2.5.
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The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 45?
50% of the data values are greater than 45, it is calculated using the concept of box-whisker plot.
What is the box-and-whisker plot?An illustration of the variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data in the same graph.
Given the box-and-whisker plot below represents some data sets,
In light of the above, the box-whisker plot reflects a particular data set. There is a number 45 right next to it, and a vertical line next to it indicates that 45 is the median of the data and that 45 is the 50th percentile in this case.
It indicates that 50% of the values are higher than 45 and 50% of the values are less than 45.
Using this technique, we can easily determine the proportion of data for which the value is higher or lower. It aids in data analysis and result interpretation.
Hence 50% of values are greater than 45.
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Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = TA y=1 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise
The marginal probability function for Y is (c) (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.
The marginal probability function for Y is calculated by summing the joint probabilities over all possible values of X for a given value of Y. Hence,
fy(0) = f(0,0) + f(1,0) = (0^2 + 300) * 5/10 + (1^2 + 310) * 5/10 = 0 + 5/10 = 1/2
fy(1) = f(0,1) + f(1,1) = (0^2 + 301) * 5/10 + (1^2 + 311) * 5/10 = 15/10 + 20/10 = 35/10
Therefore, the correct answer is (c) y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise.
Correct Question :
Let X and Y be discrete random variables with joint probability function f(x, y) = (x2 + 3xy) 5 10 for (x,y) = (0,0), (0, 1), (1,0), (1,1) otherwise What is the marginal probability function for Y? a. y=1 fy(y) = 0 otherwise b. 50 = { variere 50 = { fy(y) = 3 y=1 otherwise c. y=0 fy(y) = 1/2 y=1 fy(y) = 35/10 otherwise d. y=0 fy(y) = Ey=1 otherwise e. y=0 fy(y) = x2 + 3x y=1 otherwise
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