find the points on the given curve where the tangent line is horizontal or vertical. (assume 0 ≤ ≤ 2. enter your answers as a comma-separated list of ordered pairs.) r = 1 − sin

Answers

Answer 1

The points on the given curve where the tangent line is horizontal or vertical are (0,1), (π,1), (π/2,0) and (3π/2,0).

The given curve is: r=1-sinθ

Differentiating with respect to θ, we get:

dr/dθ = -cosθ

Now, the slope of the tangent to the curve is given by tangent θ = dr/dθ.

The tangent is vertical if the slope is undefined. That is, the curve has a vertical tangent if

cosθ = 0, or θ = π/2 and θ = 3π/2.

The tangent is horizontal if the slope is 0.

That is, the curve has a horizontal tangent if cosθ = ±1 or θ = 0 and θ = π.

Hence, the required points where the tangent line is horizontal or vertical are (0,1), (π,1), (π/2,0) and (3π/2,0).

Learn more about tangent line visit:

brainly.com/question/23416900

#SPJ11


Related Questions

In a certain town 65% of homeowners watch cable TV, 40% watch Netflix, and 20% watch both.
Draw a Venn Diagram. Choose a homeowner at random. If homeowner watches cable TV, what is
the probability they watch Netflix?

Answers

Answer:

.31

Step-by-step explanation:

Complete the statement.

3 1/4÷ ? =1

Answers

Answer:

3 1/4

Step-by-step explanation:

The general rule of thumb is that if the solution is 1 and the operation is division, the the dividend (in this case 3 1/4) should be equal to the divisor (represented with the question mark; ?).

Answer:

3 1/4

Step-by-step explanation:

3 1/4

3 1/4 = 1 :)

will this answer count?

What would be the best first step to use to solve this equation? 7/12=5/6x

Answers

Answer: The first step would be to divide both sides by 5/6 to isolate x.

Answer:

Your answer is: x = 7/10

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

round 0.0625 to the nearest thousandth

Answers

Answer:

0.0630

Step-by-step explanation:

hope this helps

0.0630 I am pretty sure that’s right

Someone help me plz hurry

-51/7

Answers

Answer:

-51/7

Step-by-step explanation:

-51/7 cannot be simplified

Answer:

-7.28571428571

Step-by-step explanation:

This is the answer, mark brainliest if it helped and/or worked!

A $40,000 was bought in 2010. The value is depreciating at a rate of 4.5%. How much is the car worth in 2020?

Answers

approximately 38,200..... i think ?

A + B/ C = D, Solve for B

Answers

Answer:

B = DC - A

Step-by-step explanation:

A + B / C = D Multiply C

A + B = CD Subtract A

B = CD - B

which expression is equal (x+4)(-3x^2-4x+2)

Answers

Answer:

-3x^3-16x^2-14x+8

Step-by-step explanation:

[tex](x+4)(-3x^2-4x+2)\\\\Distribute\:parentheses\\\\=x\left(-3x^2\right)+x\left(-4x\right)+x\times\:2+4\left(-3x^2\right)+4\left(-4x\right)+4\times \:2\\\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\\\=-3x^2x-4xx+2x-4\times\:3x^2-4\times\:4x+4\times\:2\\\\Simplify\\-3x^2x-4xx+2x-4\times\:3x^2-4\times\:4x+4\times\:2:\\\\\quad -3x^3-16x^2-14x+8\\\\=-3x^3-16x^2-14x+8[/tex]

help? this is geometry

Answers

i believe it’s 71. let me know if that’s correct.

4 (32 - 139)
Simplify

Answers

Answer:

-428

Step-by-step explanation:

32-139=(-107)

4*(-107)=(-428)

GONZALEZ
Problem 3.3
In order to scale figure F back to figure E, what scale
factor should you use?
20
Submit and Explain
21
20

Answers

Answer:

Step-by-step explanation:

Help me solve this problem please

Answers

twice a number “n” subtracted from fifteen and four-tenths

E is the midpoint of AB. If
AE = 4x +6 and EB = 10x - 12,
what is AB?

Answers

Answer:

36

Step-by-step explanation:

Since E is the midpoint, AE and EB are equal. We can write this as such,

4x+6=10x-12 if we solve from here we get 6x=18. Simplify to get x=3. sub in three for  x in the AE equation, 4(3)+6 and solve. You'd get 18 as your answer. Double that to get the solution since AE= 1/2AB. 18*2= 36

AB=36

Can anyone send me the answer for this ​

Answers

answer :

is equals to 2 Kama Q is equals to 3 Kama P is equal to minus Q is equals to 9 Pharma fees equals to minus 25 Q is equals to 6 = 2 - 61

step by step explainaion:2 by 3 Kama minus 5 by 9 Kama minus 25 by 6 - 61 by to all rational

a. b. c. or .d
please help me . ASAP​

Answers

Answer: Choice A

The second fraction should not have been multiplied by 9

This is because 1/9 already has the LCD in the denominator. LCD stands for lowest common denominator.

The first fraction 2/3 does not have 9 in the denominator, which is why they multiplied top and bottom by 3

2/3 = (2*3)/(3*3) = 6/9

After each fraction has the same denominator (9), you can add the numerators to place over the LCD like so

6/9 + 1/9 = (6+1)/9 = 7/9

This means,

2/3 + 1/9 = 6/9+1/9 = 7/9

it is A, i am pretty sure.

Solve to the nearest tenth
[tex] \sqrt{18} [/tex]

Answers

4.2 is your answer.

can someone plz answer this asap

Answers

The answer is 20° hope this helps

The Thompson Family are filling in their circular garden with new soil for the spring. The garden has a diameter of 24 cm. The cost of the soil is $5.50 per square centimeter. How much money are they going to spend to fill their garden with new soil?

Answers

Answer:

$2488.46

Step-by-step explanation:

This problem is on the mensuration of flat shapes.

firstly, we need to solve for the area of the garden.

given that the diameter d=24cm

the radius is d/2= 12cm

Therefore the area is expressed as

A= πr^2

A=3.142*12^2

A=3.142*144

A=452.448 cm^2

We are given that a square cm cost  $5.50  to sandfill

therefore the entire garden will cost  $5.50*452.448

$2488.46

Katherine drove 13 miles in 1/5 hour. On average, how fast did she drive, in miles
per hour?

Answers

Answer:

65 miles per hour

Step-by-step explanation:

r = d/t

1 : 5 = 0.2

r = 13 : 0.2 = 65

Can someone help with these problems?

Answers

Answer:

First, you have to substitue 3 into x

20 - 5(3)

20 - 15

= 5

so the first one is 5

the next one we will do the same but with 4

20 - 5(4)

20 - 20

= 0

Step-by-step explanation:

Answer:

20-5(3)

20-15

=5

than

20-5(4)

20-20

=0

and there is your answer

Step-by-step explanation:

simplify 12x^7y^4/6x^2y^5

Answers

Answer:

2x⁵/y

Step-by-step explanation:

divide 12/6 to get 2

7-2=5

25 POINTS

What is the value of f(4) + g(3)? Two functions are shown. f(x) = 64(0.5) * Enter your response here: g(x) = 20x + 12 Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, .,-, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or a decimal.​

Answers

Answer:

[tex]\displaystyle f(4) + g(3) = 76[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = 64\left(\frac{1}{2}\right)^x\text{ and } g(x)=20x+12[/tex]

And we want to find the value of:

[tex]f(4)+g(3)[/tex]

We can find the value of each function individually.

Find f(4):

[tex]\displaystyle \begin{aligned} f(4) & = 64\left(\frac{1}{2}\right)^{(4)} \\ \\ & = 64\left(\frac{1^4}{2^4}\right) \\ \\ & = 64\left(\frac{1}{16}\right) \\ \\ & = 4\end{aligned}[/tex]

Find g(3):

[tex]\displaystyle \begin{aligned} g(3) & = 20(3) + 12 \\ \\ & = (60) + 12 \\ \\ & = 72\end{aligned}[/tex]

Therefore, substitute:

[tex]\displaystyle \begin{aligned} f(4) + g(3) & = (4) + (72) \\ \\ & = 76\end{aligned}[/tex]

Therefore, in conclusion:

[tex]\displaystyle f(4) + g(3) = 76[/tex]

In △ABC, the sides AB and AC are produced to ∠P and ∠Q respectively. If the bisectors of ∠PBC and ∠QCB intersect at A point O. Prove that ∠BOC = 90 - ½ ∠A.

Answers

Answer:

in △abc, the sides ab and ac are produced to ∠p and ∠q respectively. if the bisectors of ∠pbc and ∠qcb intersect at a point o. prove that ∠boc = 90 - ½ ∠a.

Write the equation of the line that passes through the points (-1, -6) and (4,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer: y + 6 = 11/5( x + 1)  

Step-by-step explanation:

To write the equation in point-slope form we need to first find the slope of the line.

The slope is the difference between the y coordinates divided by the difference between the x coordinates.

-6 - 5= -11

-1 - 4 = -5

-11/-5 = 11/5  

The slope is  11/5 .  

The point-slope formula says that  y - b =  m(x - a)  where  m is the slope and  

b is the y coordinate of one of the point and a is  the x coordinate of the same point.

We will use the point  (-1,-6)  

The x coordinate is -1  and the y coordinate is -6.

b will be -6  and a will be -1  while m will be 11/5.

y -(-6)  = 11/5(x-(-1)      

Reduce it to lowest terms.

y + 6 = 11/5( x + 1)

What is, 3 to the power of 2, times, 3 to the power of 5.
A. 3 to the power of 7
B. 3 to the power of 10
C. 9 to the power of 7
D. 9 to the power of 10

Answers

Answer:

3^7

Step-by-step explanation:

3^2 * 3^5

a^b * a^c, since the bases are the same, we can add the exponents

a^ ( b+c)

3^(2+5)

3^7

Answer:

ha

Step-by-step explanation:

please

Solve for v.
-V + 1 = 3

Answers

v=-2 :)))))))))!!!!!!!

PLEASE HELP I DONT WANNA FAIL, THIS IS TOO HARD AND STRESSFUL

Answers

Answer:

That is hard. What grade are you in.

Step-by-step explanation:

8 less than the product of 2 and a number is 16. What is the number?

Answers

The answer is 24 when using like terms and the order of operations.

The number would be -4 which is 8 less than the product of 2 and a number is equal to 16.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Let the number would be n

Given that 8 is less than the product of 2 and a number is equal to 16.

According to the statement of the question,

⇒ 8 - (n*2) = 16

⇒  -(n*2) = 16 - 8

Apply the subtraction operation,

⇒  -2n = 8

⇒ n = -8/2

Apply the division operation,

⇒ n = -4

Hence, the number would be -4 which is 8 less than the product of 2 and a number is equal to 16.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

Law of Syllogism.

If a natural number ends in 0, then it is divisible by 10. If a natural number is divisible by 10, then it is divisible by 5. ​

Answers

Answer:

true

Step-by-step explanation:

if it is 10,20,30,40etc...

10÷5=2

20÷5=10

30÷5=15

40÷5=20

If a natural number ends in 0, then it is divisible by 10. If a natural number is divisible by 10, then it is divisible by 5 is a correct statement.

What is Law of Syllogism ?

Law of  Syllogism says if a then b and if b then c implies if a then c this transition property can hold true to many of mathematical operations.

According to the given question If a natural number ends in 0, then it is divisible by 10. If a natural number is divisible by 10, then it is divisible by 5 then if a natural number ends with 0 it is divisible by 5.

This is law of Syllogism it states that (according to this question frame )

If a is divisible by b and b is divisible by c then a is also divisible by c called transitivity.

learn more about syllogism here :

https://brainly.com/question/21635821

#SPJ2

A. -9
B. -1
C.1
D. 9

Answers

Answer:

C. 1

Step-by-step explanation:

Start at (0,3)

Slope is -3/1

X intercept would be 1

Answer:

i think the answer is A. -9

Step-by-step explanation:

i really hoped this helped

Other Questions
A flower bed measuring 3m by 1.5m is surrounded by a path 1m wide. Find the area of the path. water is moving at a velocity of 1.30 m/s through a hose with an internal diameter of 4.30 cm. what is the flow rate in l/sec? The government have been mandating deductions from bothemployers and employees to fund various social programs. Discussthe features of these deductions and what are their advantages anddisadvantage QUESTION 3. Use the Laplace transform to solve the following initial value problems. a) y"+y' - 2y = -4e-t, y(0) = 4, y'(0) = -9 b) y" - 3y + 2y = 0 2t for t < 3 for t 3 y(0) = 3, y'(0) = 4 3 c) y" - 9y = 8(t - ), y(0) = -1, y'(0) = 2 The situations below include an event and a market. For each situation, determine how the event would affect the market equilibrium price and quantity of the market, and sort the situation into the appropriate category. Items (8 items) (Drag and drop into the appropriate area below) No more items Categories Pand increase Pand decrease Pincrease a decrease P Decrease, Increase the price of coffee rises Consumer income Increases can the US government imposes a tarton tequila the cost of peanuts fails peanut butter avere frost Florida orange juice the Dece of brocco falls carrots a serious man contain the Middle Eest breaks out crude a faster machine cappuccinos at coffee shops gories Pand Q increase P and Q decrease P increase. Q decrease P Decrease. Q Increase consumer income increases cars the price of coffee rises cream the U.S. government imposes a tariff on tequila the cost of peanuts falls: peanut butter a severe frost in Florida: orange juice the price of broccoli falls carrots a serious military conflict in the Middle East breaks out crude oil a faster espresso machine cappuccinos at coffee shops what is the pacific pattern they follow 2, 4, 6, 8, Due to the system of federalism, which of the following courts has the broadest subject matter jurisdiction? a Charleston County Trial Court (state of South Carolina) b The United States (federal) District Court for the District of South Carolina c The United States (federal) Fourth Circuit Court of Appealsd The United States (federal) Supreme Court A positioning system has CR= 0.05mm and CR2= 0.035mm. The gear ratio between the gear shaft and the leadscrew is 3:1. (c) repeatability in mm (3 decimal places) A rotation turns a figure about a fixed point called the Look up Freakonomics: Should Public Transit Be Free? Listen to the podcast, and answer the following questions with information from the podcast. Do not bring in outside information.Questions to think about for Freakonomics: Should Public Transit Be Free?Like many questions in economics, the answer to the question, "Should public transit be free?"is, "It depends!" I want to set up this discussion as arguments in favor of free public transit orconditions under which this is a "good" idea and arguments against free public transit orconditions under which this is not a "good" idea. Of course, starting point is for us to think aboutwhat we mean by that subjective word, "good." The questions below might help you thinkthrough the two (multiple?) sides of the debate and also get you thinking how economic conceptsand research help us understand the outcomes of different policy choices.In what sense is public transit "good"? What are its benefits? What are the goals you thinkwe should be trying to achieve? Which of the following is true regarding the structure of enzymes?Choose 1 answer:Enzymes are usually lipids.The active site is where the enzyme binds with the substrate.The shape of enzymes change to fit all types of substrates.DEnzymes are denatured once they are used in a chemical reaction. how might life be different if you lived in a theocracy instead of a democratic republic like we have in the us Find the general solution of each differential equation. Q1 only. You are interested in buying a 2-bedroom condo in New York. The price is $300,000. You have a 30-year 3% APR mortgage with 20% down payment.You rent the apartment out for $2,000/month. The operating expense is $200. Assume the house value will increase by 30% after 30 years. Calculate the expected annual return of your investment. (Hint: compute IRR for the investment) An Italian currency dealer has good credit and can borrow either $1,000,000 or 800,000 for one year. The one-year interest rate in the U.S. is i = 2% and in the eurozone, the one-year interest rate is i = 6%. The spot exchange rate is $1.25 = 1.00 and the one-year forward exchange rate is $1.20 = 1.00. Show how to realize a certain euro-denominated profit via covered interest arbitrage.A. Borrow $1,000,000 at 2%. Trade $1,000,000 for 800,000; invest at i = 6%; translate proceeds back at forward rate of $1.20 = 1.00. Net profit $2,400.B. Borrow 800,000 at i = 6%; translate to dollars at the spot, invest in the U.S. at i = 2% for one year; translate proceeds back at the forward rate of $1.20 = 1.00. Net profit $2,400.C. Borrow 800,000 at i = 6%; translate to dollars at the spot, invest in the U.S. at i = 2% for one year; translate proceeds back at the forward rate of $1.20 = 1.00. Net profit $2,000.D. Both (c) and (b). How did this invention help the Age of Discovery? a ) It helped sailors find their directionb ) It aided explorers in finding their locationc ) It helped ships sail better across the oceand ) It helped explorers hide their ships from enemies 4. Find the slope of the following points. (4,5) (9,3)A. 5/2B. -2/5C. -5/2D. 2/5 A U.S. Postal Service supervisor is looking for ways to reduce stress in the sorting department. With the existing arrangement, stamped letters are machine-canceled and loaded into tubs with 350 letters per tub. The tubs are then pushed to postal clerks, who read and key zip codes into an automated sorting machine at the rate of one tub per 450 seconds. To overcome the stress caused when the stamp canceling machine outpaces the sorting clerks, a pull system is proposed. When the clerks are ready to process another tub of mail, they will pull the tub from the canceling machine area. How many tubs should circulate between the sorting clerks and the canceling machine if 110,000 letters are to be sorted during a 10-hour shift, the safety stock policy variable, a, is 0.25, and the average waiting time plus material handling time is 15 minutes per tub?lThe average waiting time per tub of letters _ day. (Enter your response rounded to four decimal places.) Define the terms negative externality and positive externality and Discuss a real-world example of either a negative externality or a positive externality that is associated with a good or service you consume and/or a good or service produced by your workplace and/or that affects you as a third party. Who are the first, second, and third parties associated with that externality? Please help! Brainiest is awarr