14. The graph of f", the second derivative of f, is shown to the right for –2 < x < 4. What are the intervals on which the graph of the function f, is concave down? A. -2

Q: . Use the definition of the derivative to find f'(x) given f(x) = x + Vx

A: Given,         fx=x+x

Q: How can we use the derivative f'(x) of a function f(x) to determine where the local max(s) and…

A: Given query is to provide the procedure to find local max and min with the use of derivative of a…

Q: 50. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Given: fx=3x-2 Concept Used: Linear function is continuous everywhere.

Q: Let f(x) =x^3-6x. Calculate the difference quotient f(3+h)-f(3)/h for h=.1 h=.01 h=-.01 h=-.1 #2. If…

A:

Q: Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19)…

A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

Q: 5) Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.…

A:

Q: 9. Suppose for sume funchion f we have its derivative, f'x) = e*sin(x), on the %3D interval o< x<…

A: We can use application of derivative in order to solve the given problem.

Q: Suppose F(x) is a differentiable function for all real numbers x. Evaluate the following derivative.…

A: We need to find the derivative of the function F(x^4) with respect to x.

Q: 2. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Is the function given by f(x) = 3x - 2 continuous at x = 5?

Q: Your job is to estimate this special base. In other words, estimate the value of b for which, at…

A:

Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

A:

Q: Use the definition of a derivative to find f'(x) and f"(x). f(x) = 3x2 + 2x + 2 f'(x) = f"(x) =…

A:

Q: Suppose F(x) is a differentiable function for all real numbers x. Evaluate the following derivative.…

A: The objective is to find the derivative.

Q: Here is the graph of the function h(x)on the interval (-5, 5), and part of a line tangent to h(x) at…

A:

Q: 57. Is the function given by Sx + 1, for x 4, g(x) = continuous at x = 4? Why or why not?

A: gx=12x+1,   for  x&lt;4-x+7,   for  x&gt;4 Now left hand limit at x=4 is, limx→4-fx=limx→4-12x+1…

Q: Suppose that f is a differentiable function with f(2)=5. If the tangent line to the graph of y= f(x)…

A:

Q: 2) Suppose the graph of f (x) and the graph of its derivative f '(x) are shown below. Find an…

A: From the graph of f(x) , at x=1, f(x)=1 From the graph of f'(x), at x=1, f'(x)=-2

Q: II. Compute the right-hand and the left-hand derivatives as limits to show that the following…

A: Given,

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of fx=x is given. The equation for the left side of the graph is y=-x and the equation…

Q: Let f(x) = Cx + 7x if x< 4 x³ - cx if x2 4. For what value of the constant c is the function f…

A:

Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can…

A:

Q: The first derivative of the function h is given by h' (x) = x³ – 3x2 + x. What are all intervals om…

A:

Q: 12, for f(x) n(x) Estimate the slope of the tangent line at the point x (Use decimal notation. Give…

A: Given,

Q: 56. Is the function given by Sx + 1, for x 4, G(x) = continuous at x = 4? Why or why not?

A: As we know that  Function will be continuous at x=a if limx→a-fx=limx→a+fx=fa

Q: Suppose that f is a differentiable function with f(2) = 5. If the tangent line to the graph of y =…

A:

Q: Suppose that  f is a twice differentiable function (the function has a second derivative…

A:

Q: Show with the middle value theorem that the second derivative f'′ has at least one zero (for this…

A:

Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

Q: Suppose we know that f(x) is continuous and differentiable on the interval [-7,0], that f(-7) = -3…

A:

Q: The second derivative of the function g is given by g' (x) = 0.1x³ – 0.29xª – 0.694x³ + 1.9136x². -…

A:

Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

A:

Q: 2) Suppose the graph of f (x) and the graph of its derivative f'(x) are shown below. Find an…

A:

Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

A: Given problem:- A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f,…

Q: On which open interval is the derivative positive/ negative .

A: Given:

Q: 8. For the function: 2 f(x) x +3' use the limit definition of the derivative to find f'(x).

A:

Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

A:

Q: 2. Use the second derivative to find the inflection points and the intervals on which f(x) is…

A: For inflection point, Put f"(x)=0. For concave upward, f"(x) &gt; 0. For concave downward, f"(x)…

Q: 5) Use the tangent line at x = 9 to approximate the value of the function f(x)= Vx at x= 8.8.

A:

Q: 5. Use the Second Derivative Test to find all local extrema of the function below. (3 points total)…

A: To find the local extrema of the given function f(x)=x4-4x3+2

Q: It is defined as the limit of the ratio of the change in a function to the corresponding change in…

A: Given : what is defined as the limit of the ratio of the change in a function to the corresponding…

Q: Then for x < -, f'(x) = | The left-hand derivative of f(x) at x = – 을 is 4 - is The right-hand…

A: This is absolute function then we need to find piece wise function

Q: Suppose that f(x) is a function continuous for every value of x whose first derivative is f'(x) =…

A:

Q: * The tangent line to y = f(x) at (-4, 10) passes through the point (-5,-10). Compute the following.…

A:

Q: If function f(x) is not continuous at the value x = a then the derivative of f does not exist at x =…

A:

Q: What value should be assigned to f(2) so that the extended function is continuous at x=2

A: Given graph of f(x)

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.