If f is a function that is continuous at x=0, then f is differentiable at x=0. True or False

Answers

Answer 1

The statement "If f is a function that is continuous at x=0, then f is differentiable at x=0" is false.

False. The statement is not necessarily true. While it is true that if a function is differentiable at a point, then it must be continuous at that point, the converse is not always true. In other words, continuity does not guarantee differentiability.

There are functions that are continuous at a point but not differentiable at that point. One example is the absolute value function, \( f(x) = |x| \), which is continuous at \( x = 0 \) but not differentiable at \( x = 0 \) because the derivative does not exist at that point.

Therefore, the statement "If f is a function that is continuous at x=0, then f is differentiable at x=0" is false.

Learn more about continuous here

https://brainly.com/question/18102431

#SPJ11


Related Questions



For the polynomial x⁶-64 , could you apply the Difference of Cubes? Difference of Squares? Explain your answers.

Answers

For the polynomial x⁶-64, we can apply the Difference of Squares but not the Difference of Cubes.

The Difference of Squares is a factoring pattern that can be used when we have the difference of two perfect squares, which means two terms that are both perfect squares and are being subtracted. In this case, x⁶-64 can be written as (x³)² - 8². This can be factored further as (x³ - 8)(x³ + 8).

However, the Difference of Cubes is a factoring pattern that can be used when we have the difference of two perfect cubes, which means two terms that are both perfect cubes and are being subtracted. Since x⁶-64 does not fit this pattern, we cannot apply the Difference of Cubes.

In summary, for the polynomial x⁶-64, we can apply the Difference of Squares by factoring it as (x³ - 8)(x³ + 8), but we cannot apply the Difference of Cubes.

To know more about polynomial, visit:

https://brainly.com/question/11536910

#SPJ11

(a) Use Newton's method to find the critical numbers of the function
f(x) = x6 ? x4 + 2x3 ? 3x
correct to six decimal places. (Enter your answers as a comma-separated list.)
x =
(b) Find the absolute minimum value of f correct to four decimal places.

Answers

The critical numbers of the function f(x) = x⁶ - x⁴ + 2x³ - 3x.

x₅ = 1.35240 is correct to six decimal places.

Use Newton's method to find the critical numbers of the function

Newton's method

[tex]x_{x+1} = x_n - \frac{x_n^6-(x_n)^4+2(x_n)^3-3x}{6(x_n)^5-4(x_n)^3+6(x_n)-3}[/tex]

f(x) = x⁶ - x⁴ + 2x³ - 3x

f'(x) = 6x⁵ - 4x³ + 6x² - 3

Now plug n = 1 in equation

[tex]x_{1+1} = x_n -\frac{x^6-x^4+2x^3=3x}{6x^5-4x^3+6x^2-3} = \frac{6}{5}[/tex]

Now, when x₂ = 6/5, x₃ = 1.1437

When, x₃ = 1.1437, x₄ = 1.135 and when x₄ = 1.1437 then x₅ = 1.35240.

x₅ = 1.35240 is correct to six decimal places.

Therefore, x₅ = 1.35240 is correct to six decimal places.

Learn more about critical numbers here:

brainly.com/question/29743892

#SPJ4

Let C be the following matrix: C= ⎝


2
1
0
−2

6
4
1
6

9
6
2
9

12
7
1
0




Give a basis for the column space of C in the format [1,2,3],[3,4,5], for example. 因 뭄

Answers

A matrix is a two-dimensional array of numbers arranged in rows and columns. It is a collection of numbers arranged in a rectangular pattern.  the column space of C is the span of the linearly independent columns, which is a two-dimensional subspace of R4.

The basis of the column space of a matrix refers to the number of non-zero linearly independent columns that make up the matrix.To find the basis for the column space of the matrix C, we would need to find the linearly independent columns. We can simplify the matrix to its reduced row echelon form to obtain the linearly independent columns.

Let's begin by performing row operations on the matrix and reducing it to its row echelon form as shown below:[tex]$$\begin{bmatrix}2 & 1 & 0 & -2 \\ 6 & 4 & 1 & 6 \\ 9 & 6 & 2 & 9 \\ 12 & 7 & 1 & 0\end{bmatrix}$$\begin{aligned}\begin{bmatrix}2 & 1 & 0 & -2 \\ 0 & 1 & 1 & 9 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & -24\end{bmatrix}\end{aligned}[/tex] Therefore, the basis for the column space of the matrix C is:[tex]$$\begin{bmatrix}2 \\ 6 \\ 9 \\ 12\end{bmatrix}, \begin{bmatrix}1 \\ 4 \\ 6 \\ 7\end{bmatrix}$$[/tex] In the requested format, the basis for the column space of C is [tex][2,6,9,12],[1,4,6,7][/tex].The basis of the column space of C is the set of all linear combinations of the linearly independent columns.

To know more about matrix visit:

https://brainly.com/question/29132693

#SPJ11

Equations are given below illustrating a suspected number pattern. Determine what the next equation would be, and verify that it is indeed a true statement. 3=1×33+11=2×73+11+19=3×11​ Select the correct answer below and fill in any answer boxes within your choice. (Type the terms of your expression in the same order as they appear in the original expression. Do not perform the calculation. Use the multiplication symbol in the math palette as needed. ) A. The next equation is It is a false statement because the left side of the equation simplifies to and the right side of the equation simplifies to B. The next equation is It is a true

Answers

The next equation in the suspected number pattern is 4 = 4 × 13. This statement is true because the left side of the equation simplifies to 4, which is equal to the right side of the equation when evaluated.

By observing the given equations, we can identify a pattern. In the first equation, 3 is obtained by multiplying 1 with 33 and adding 11. In the second equation, 73 is obtained by multiplying 2 with 33 and adding 11. In the third equation, 11 + 19 results from multiplying 3 with 33 and adding 11.

Therefore, it appears that the common factor in these equations is the multiplication of a variable, which seems to correspond to the number of the equation itself, with 33, followed by the addition of 11. Applying this pattern to the next equation, we can predict that it will be 4 = 4 × 13.

To learn more about factor click here: brainly.com/question/29464385

#SPJ11

If the general solution of a differential equation is \( y(t)=C e^{-3 t}+9 \), what is the solution that satisfies the initial condition \( y(0)=4 \) ? \[ y(t)= \]

Answers

The solution that satisfies the initial condition [tex]\(y(0) = 4\)[/tex] for the differential equation is [tex]\(y(t) = -5e^{-3t} + 9\)[/tex].

To find the solution that satisfies the initial condition [tex]\(y(0) = 4\)[/tex] for the differential equation [tex]\(y(t) = Ce^{-3t} + 9\)[/tex], we substitute the initial condition into the general solution and solve for the constant [tex]\(C\)[/tex].

Given: [tex]\(y(t) = Ce^{-3t} + 9\)[/tex]

Substituting [tex]\(t = 0\)[/tex] and [tex]\(y(0) = 4\)[/tex]:

[tex]\[4 = Ce^{-3 \cdot 0} + 9\][/tex]

[tex]\[4 = C + 9\][/tex]

Solving for [tex]\(C\)[/tex]:

[tex]\[C = 4 - 9\][/tex]

[tex]\[C = -5\][/tex]

Now we substitute the value of [tex]\(C\)[/tex] back into the general solution:

[tex]\[y(t) = -5e^{-3t} + 9\][/tex]

Therefore, the solution that satisfies the initial condition [tex]\(y(0) = 4\)[/tex] for the differential equation is:

[tex]\[y(t) = -5e^{-3t} + 9\][/tex]

To know more about differential equation, refer here:

https://brainly.com/question/32645495

#SPJ4

question 10
Find an equation of the circle that satisfies the given conditions. (Use the variables \( x \) and \( y_{4} \) ) Endpoints of a diameter are \( P(-2,2) \) and \( Q(6,8) \)

Answers

The equation of the circle that satisfies the given conditions, with endpoints of a diameter at \( P(-2,2) \) and \( Q(6,8) \), is **\((x - 2)^2 + (y - 4)^2 = 36\)**.

To find the equation of a circle given the endpoints of a diameter, we can use the midpoint formula to find the center of the circle. The midpoint of the diameter is the center of the circle. Let's find the midpoint using the coordinates of \( P(-2,2) \) and \( Q(6,8) \):

Midpoint \( M \) = \(\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)\)

Midpoint \( M \) = \(\left(\frac{-2 + 6}{2}, \frac{2 + 8}{2}\right)\)

Midpoint \( M \) = \(\left(\frac{4}{2}, \frac{10}{2}\right)\)

Midpoint \( M \) = \((2, 5)\)

The coordinates of the midpoint \( M \) give us the center of the circle, which is \( (2, 5) \).

Next, we need to find the radius of the circle. We can use the distance formula to find the distance between \( P(-2,2) \) and \( Q(6,8) \), which is equal to twice the radius. Let's calculate the distance:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

\(d = \sqrt{(6 - (-2))^2 + (8 - 2)^2}\)

\(d = \sqrt{8^2 + 6^2}\)

\(d = \sqrt{64 + 36}\)

\(d = \sqrt{100}\)

\(d = 10\)

Since the distance between the endpoints is equal to twice the radius, the radius of the circle is \( \frac{10}{2} = 5 \).

Now that we have the center and radius, we can write the equation of the circle using the standard form:

\((x - h)^2 + (y - k)^2 = r^2\), where \( (h, k) \) is the center and \( r \) is the radius.

Plugging in the values, we get:

\((x - 2)^2 + (y - 5)^2 = 5^2\)

\((x - 2)^2 + (y - 4)^2 = 25\)

Therefore, the equation of the circle that satisfies the given conditions, with endpoints of a diameter at \( P(-2,2) \) and \( Q(6,8) \), is \((x - 2)^2 + (y - 4)^2 = 36\).

Learn more about circle here

https://brainly.com/question/28162977

#SPJ11

Question 2 Describe the graph of the function \( z=f(x, y)=x^{2}+y^{2} \).

Answers

The graph of the function z = f(x, y) = x² + y² is a surface in three-dimensional space. It represents a paraboloid centered at the origin with its axis aligned with the z-axis.

The shape of the graph is similar to an upward-opening bowl or a circular cone. As you move away from the origin along the x and y axes, the function increases quadratically, resulting in a smooth and symmetric surface.

The contour lines of the graph are concentric circles centered at the origin, with each circle representing a specific value of z. The closer the contour lines are to the origin, the smaller the corresponding values of z. As you move away from the origin, the values of z increase.

The surface has rotational symmetry around the z-axis. This means that if you rotate the graph about the z-axis by any angle, the resulting shape remains the same.

In summary, the graph of the function z = f(x, y) = x² + y² is a smooth, upward-opening paraboloid centered at the origin, with concentric circles as its contour lines. It exhibits symmetry around the z-axis and represents a quadratic relationship between x, y, and z.

Learn more about Graph here

https://brainly.com/question/30918473

#SPJ4

f(x) = 4x2 − 3 and g(x) = 4x − 5. Find the value, if possible. (f − g)(−7) = ___________ (f − g)(−7) = ___________

Answers

(f - g)(-7) = 226, To find the value of (f - g)(-7), we need to substitute -7 into the expressions for f(x) and g(x) and then subtract g(x) from f(x).

f(x) = [tex]4x^2 - 3[/tex]

g(x) = 4x - 5

Let's start by evaluating f(-7):

f(x) = [tex]4x^2 - 3[/tex]

f(-7) =[tex]4(-7)^2 - 3[/tex]

f(-7) = 4(49) - 3

f(-7) = 196 - 3

f(-7) = 193

Now, let's evaluate g(-7):

g(x) = 4x - 5

g(-7) = 4(-7) - 5

g(-7) = -28 - 5

g(-7) = -33

Finally, we can find (f - g)(-7) by subtracting g(-7) from f(-7):

(f - g)(-7) = f(-7) - g(-7)

(f - g)(-7) = 193 - (-33)

(f - g)(-7) = 193 + 33

(f - g)(-7) = 226

Therefore, (f - g)(-7) = 226.

Learn more about evaluating

https://brainly.com/question/20067491

#SPJ11

Find the cross product ⟨−3,1,2⟩×⟨5,2,5⟩.

Answers

The cross product of two vectors can be calculated to find a vector that is perpendicular to both input vectors. The cross product of (-3, 1, 2) and (5, 2, 5) is (-1, -11, -11).

To find the cross product of two vectors, we can use the following formula:

[tex]\[\vec{v} \times \vec{w} = \begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ v_1 & v_2 & v_3 \\ w_1 & w_2 & w_3 \end{vmatrix}\][/tex]

where [tex]\(\hat{i}\), \(\hat{j}\), and \(\hat{k}\)[/tex] are the unit vectors in the x, y, and z directions, respectively, and [tex]\(v_1, v_2, v_3\) and \(w_1, w_2, w_3\)[/tex] are the components of the input vectors.

Applying this formula to the given vectors (-3, 1, 2) and (5, 2, 5), we can calculate the cross-product as follows:

[tex]\[\begin{vmatrix} \hat{i} & \hat{j} & \hat{k} \\ -3 & 1 & 2 \\ 5 & 2 & 5 \end{vmatrix} = (1 \cdot 5 - 2 \cdot 2) \hat{i} - (-3 \cdot 5 - 2 \cdot 5) \hat{j} + (-3 \cdot 2 - 1 \cdot 5) \hat{k}\][/tex]

Simplifying the calculation, we find:

[tex]\[\vec{v} \times \vec{w} = (-1) \hat{i} + (-11) \hat{j} + (-11) \hat{k}\][/tex]

Therefore, the cross product of (-3, 1, 2) and (5, 2, 5) is (-1, -11, -11).

To learn more about Cross product visit:

brainly.com/question/14384780

#SPJ11



The table shows the latitude and longitude of three cities.

Earth is approximately a sphere with a radius of 3960 miles. The equator and all meridians are great circles. The circumference of a great circle is equal to the length of the equator or any meridian. Find the length of a great circle on Earth in miles.


| City | Latitude | Longitude

| A | 37°59'N | 84°28'W

| B | 34°55'N | 138°36'E

| C | 64°4'N | 21°58'W

Answers

Simplifying the equation gives us the length of the great circle between cities A and B. You can follow the same process to calculate the distances between other pairs of cities.

To find the length of a great circle on Earth, we need to calculate the distance between the two points given by their latitude and longitude.

Using the formula for calculating the distance between two points on a sphere, we can find the length of the great circle.

Let's calculate the distance between cities A and B:


- The latitude of the city A is 37°59'N, which is approximately 37.9833°.


- The longitude of city A is 84°28'W, which is approximately -84.4667°.


- The latitude of city B is 34°55'N, which is approximately 34.9167°.


- The longitude of city B is 138°36'E, which is approximately 138.6°.

Using the Haversine formula, we can calculate the distance:
[tex]distance = 2 * radius * arcsin(sqrt(sin((latB - latA) / 2)^2 + cos(latA) * cos(latB) * sin((lonB - lonA) / 2)^2))[/tex]

Substituting the values:
[tex]distance = 2 * 3960 * arcsin(sqrt(sin((34.9167 - 37.9833) / 2)^2 + cos(37.9833) * cos(34.9167) * sin((138.6 - -84.4667) / 2)^2))[/tex]

Simplifying the equation gives us the length of the great circle between cities A and B. You can follow the same process to calculate the distances between other pairs of cities.

Know more about equation  here:

https://brainly.com/question/29174899

#SPJ11

The length of a great circle on Earth is approximately 24,892.8 miles.

To find the length of a great circle on Earth, we need to calculate the distance along the circumference of a circle with a radius of 3960 miles.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

Substituting the given radius, we get C = 2π(3960) = 7920π miles.

To find the length of a great circle, we need to find the circumference.

Since the circumference of a great circle is equal to the length of the equator or any meridian, the length of a great circle on Earth is approximately 7920π miles.

To calculate this value, we can use the approximation π ≈ 3.14.

Therefore, the length of a great circle on Earth is approximately 7920(3.14) = 24,892.8 miles.

Learn more about circumference of a circle :

https://brainly.com/question/17130827

#SPJ11

verify that the given differential equation is exact; then solve it. (9x^3 8y/x)dx (y^2 8lnx)dy=0

Answers

Given differential equation is:(9x^3 8y/x)dx (y^2 8lnx)dy=0.

If a differential equation is of the form M(x,y)dx + N(x,y)dy = 0, then it is called an exact differential equation

if:∂M/∂y = ∂N/∂x

Here, M = 9x³ + 8y/x and N = y² + 8lnx.

Therefore, ∂M/∂y = 8 and ∂N/∂x = 8/x.

Thus, the given differential equation is an exact differential equation.

Now, to find the solution of an exact differential equation, we integrate either M or N with respect to x or y, respectively.

Let's integrate M w.r.t x. So, we get:

∫Mdx = ∫(9x³ + 8y/x)dx= 9/4 x⁴ + 8y ln x + h(y) (put h(y) = 0,

since ∂(∂M/∂y)/∂y = ∂(∂N/∂x)/∂x )

Differentiating the above w.r.t y, we get:(d/dy) ∫Mdx = 8x + h'(y)

Comparing the above with N = y² + 8lnx

We get, h'(y) = y²∴ h(y) = y³/3 + c Here, c is a constant of integration.

The general solution of  is 9/4 x⁴ + 8y ln x + y³/3 = c.

Yes the differential equation is exact

#SPJ11

Learn more about differential equation and exact https://brainly.com/question/30550701

Consider the line \( L \) described by the equation \( -x-3 y=-7 \). (a) The graph of \( L \) is a line with slope \( m, y \)-intercept at \( (0, b) \), and \( x \)-intercept at \( (a, 0) \)

Answers

The line [tex]L[/tex] is [tex]y=\frac{7}{3}x+\frac{7}{3}[/tex].

The given equation of the line is [tex]-x-3y=-7[/tex].

The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept.

Substitute [tex]y=0[/tex] in the given equation to get [tex]x=7[/tex]. So, the [tex]x[/tex]-intercept is at the point (7, 0).

Substitute [tex]x=0[/tex] in the given equation to get [tex]y=\frac{7}{3}[/tex]. So, the [tex]y[/tex]-intercept is at the point (0, 7/3)

Put both points in [tex]y=mx+b[/tex] to get [tex]m[/tex] and [tex]b[/tex] respectively.

Slope [tex]m=\frac{7}{3 \cdot 1} =\frac{7}{3}[/tex] and [tex]y[/tex]-intercept [tex]b=\frac{7}{3}[/tex].

Therefore, the line [tex]L[/tex] is [tex]y=\frac{7}{3}x+\frac{7}{3}[/tex].

To know more about slope, click here

https://brainly.com/question/2491620

#SPJ11

Describe the following set of points in space with a single equation AND sketch the surface(s) they describe: (a) The set of points in space that are a distance 4 from the point (3,1, -2). (b) The set of points in space that are equidistant from the point (0,0, 4) and the xy-plane. (Fully simplify your equation).

Answers

(a) The set of points in space that are a distance 4 from the point (3,1, -2) is a sphere with center at (3,1, -2) and radius 4. The equation of a sphere with center (a,b,c) and radius r is given by:

(x - a)^2 + (y - b)^2 + (z - c)^2 = r^2

Plugging in the values, we get:

(x - 3)^2 + (y - 1)^2 + (z + 2)^2 = 16

This is the equation of the sphere.

(b) The set of points in space that are equidistant from the point (0,0, 4) and the xy-plane is a cone with vertex at (0,0,4) and axis along the z-axis. The equation of a cone with vertex (a,b,c) and axis along the z-axis is given by:

(x - a)^2 + (y - b)^2 = k(z - c)^2

where k is a constant that depends on the angle of the cone. In this case, since the cone is symmetric about the z-axis, we can assume that k = 1.

Plugging in the values, we get:

x^2 + y^2 = z^2 - 8z + 16

This is the equation of the cone.

#SPJ11

Learn more about set of points and equidistant https://brainly.com/question/22395032

Other Questions
how many employees are required to meet the account management departments goal? Find the cross product 3,1,25,2,5. Consider the line \( L \) described by the equation \( -x-3 y=-7 \). (a) The graph of \( L \) is a line with slope \( m, y \)-intercept at \( (0, b) \), and \( x \)-intercept at \( (a, 0) \) Which of the following statements correctly describe an adaptation that separates amphibians from reptiles? (Choose all that are correct). Select one or more: a. None of these b. Amphibians have well-developed lungs and reptiles do not. c. Amphibians have dry scaly skin and reptiles do not. d. Reptiles require water for their larval stage and amphibians do not. e. Reptiles have a water-tight amniotic egg and amphibians do not. f. Amphibians can use cutaneous respiration and reptiles cannot. g. Reptiles have limbs adapted to terrestrial life and amphibians do not. h. All of these Which TWO of the following statements are INCORRECT? Briefly explain your answers. (Total: 4 marks)|. E-value is used to assess the significance and quality of an assembled genome.II. Genomes of bacteria and archaea are expected to exhibit similar features.Ill. Identity matching is the best approach for gene prediction.IV. BLAST is a common approach for searching a database for identical or similar sequences to a query sequence. The adjusted flame commonly used for braze welding is A. an oxidizing flame. B. an excess oxygen flame. C. a pure acetylene flame. D. a neutral flame. a) Two 20 full-depth steel gears are heat treated to BHN=350. AGMA Quality No.8 Pinion turns 860 rpm. N1=30; N2=90; P=5, and b=2in. Find the horsepower the gears are transmitting b) Same gears as part a) but apply Quality No. 10. Explain your findings (a) Use Newton's method to find the critical numbers of the functionf(x) = x6 ? x4 + 2x3 ? 3xcorrect to six decimal places. (Enter your answers as a comma-separated list.)x =(b) Find the absolute minimum value of f correct to four decimal places. the pilot of an airplane notes that the compass indicates a heading due west. the airplane's speed relative to the air is 170 km/h. the air is moving in a wind at 26.0 km/h toward the north. find the velocity of the airplane relative to the ground. The table shows the latitude and longitude of three cities. Earth is approximately a sphere with a radius of 3960 miles. The equator and all meridians are great circles. The circumference of a great circle is equal to the length of the equator or any meridian. Find the length of a great circle on Earth in miles.| City | Latitude | Longitude| A | 3759'N | 8428'W| B | 3455'N | 13836'E| C | 644'N | 2158'W A 1.710kg rocket has a rocket motor that generates 2.910 N of thrust.What is the rocket's initial upward acceleration?At an altitude of 5000 m the rocket's acceleration has increased to 8.2 m/s . What mass of fuel has it burned? a feeling of detachment from oneself could be diagnosed as ptsd or depersonalization disorder. to determine which diagnosis best fits, one would consider: Which of the following is NOT a similarity between aldosterone and ADH? Both 1) result in changes in sodium concentration in the blood 2) act on epithelial cells in the last parts of the nephron tubule 3) cause the body to change how much sodium is reabsorbed and excreted 4) change transport across epithelial cell membranes in the nephron Carbon dioxide can combine with water to form carbonic acid which can dissociate into hydrogen ion and bicarbonate ion. This reaction is reversible. Which of the following is NOT a similarity about this equation both inside and outside of red blood cells? Both 1) use hemoglobin to change the hydrogen ion concentration in blood 2) affect the concentration of carbon dioxide in blood 3) use chloride to affect the amount of bicarbonate ions 4) shift to the right or left based on the concentrations of substances on each side of the equation Which of the following is a similarity between capillary exchange and glomerular filtration? 1) Hydrostatic pressure results in filtration 2) Lymph drainage returns filtered proteins to the circulation 3) Filtration moves substances into capillaries 4) Colloid osmotic pressure increase filtration Which of the following is NOT a similarity between the cardiovascular and respiratory systems? Both 1) use muscle contractions to move air/blood down pressure gradients 2) compensate for pH disturbances 3) use skeletal muscle contractions to move air/blood through conducting tubes 4) make carbon dioxide Which of the following is a similarity between a simple hormone and simple nervous response loop? Both 1) use paracrine signals to stimulate effectors/target cells 2) have afferent pathways which carry signals from the integrating center to the effectors/target cells 3) have afferent pathways which carry signals from the sensors/receptors to the integrating center 4) can be stimulated by chemoreceptor signaling The decomposition of 3.08 g nahco3 yields 1.04 g na2co3. what is the percent yield of this reaction? a. nahco3(s) b. na2co3(s) c. co2(g) d. h2o(g) Please write about your personal experience while completing the my plate daily food journals as well as how you did at following the suggested food plan. include information about any improvement in your health you may have noticed, discuss challenges you may have had and what you learned. remember that this assignment is about awareness and you may not want to change any dietary practices and that is okay. Syndrome of inappropriate antidiuretic hormone secretion (SIADH) is an endocrine disorder characterized by an increased release of antidiuretic hormone. Please explain the mechanism of action for the decreased urination demonstrated in patients who have this disorder. combined clinician-parent delivery of rapid syllable transition (rest) treatment for childhood apraxia of speech The table shown displays yearly salaries and the CPl across five decades. What is the 1999 salary in 2009 dollars? Multiple Choice $132,692 $170,844 $105,292 $174,136 A bar of gold has the following dimensions: 14 cm8 cm4 cm Calculate the volume of this bar of gold in both cm3 and mL. Write your answers to the ones place Explain, in your own words, what is meant by the term vector? How does a vector quantity differ from a scalar quantity? What is the component form of a vector? How do you find the angle between two vectors? Justify your answers with a thorough explanation of the mathematical concepts involved.