19. Suppose g is a differentiable function for all real numbers. Given that g(x) dx = 12 and (g(x) +3) dx = 7, what is the value of (g(x)+5) dx? (A) 5 (B) 14 (С) 20 (D) 26

Q: The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells…

A:

Q: 19/9 10/9 Find any critical numbers for the function f(x) =x' whether the critical numbers lead to…

A: We need to find critical points.

Q: 3. Given f(x) = x + 2 and ƒ '(x) = give the equation of the tangent line to %3| 2Vx(x+2)² f(x) when…

A:

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points,…

A:

Q: question 32

A: Given,

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 1) cos (x²). If f(1) = 1, what is the…

A:

Q: 2. At x 3, the tangent line to the graph of a function f (x) is y = 4x + 5. What is f'(3)? How do…

A:

Q: (b) Argue that the graph of is decreasing for x near zero and that as x increases from zero, (x)…

A:

Q: Suppose that the cost of producing x apple is c(x) = 2000 + 100x - 0.1x^2. Find the function f(x)…

A: We will find out the required function.

Q: 1. A critical number of f′(x) is an inflection point of f(x). True or False 2. If the radius of a…

A: 1.A critical number of f′(x) is an inflection point of f(x).Answer:- True 2.If the radius of a…

Q: In x se the second derivative test to find the local extrema for the function f (x) = x3 •

A:

Q: 6-Iff is a continuous at x=c, then f has a derivative at x=c. * a. True b. False

A: Consider the given statement "If f is a continuous at x = c, then f has a derivative at x = c".

Q: 4.1. Estimate f(3). 4.2. Estimatef'(3). 4.3. Give an equation for the tangent line to y = f(x) at x…

A: To estimate f(3), find the value of y when x=3 from the given graph When x=3, the value of y is 3.5…

Q: Suppose the function f(x) has the derivative f'6): 4x-122 -8 こい x-) G。 C) what are the x-values of…

A: Here given derivative of function f(x) as f'x=4x-2x+12 (a) To find the critical point of function…

Q: Suppose ff is differentiable on (-\infty,\infty)(−∞,∞), f(3)=12f(3)=12, and f'(3)=-2f′(3)=−2. Use…

A: Given that,  Function f is differentiable on (−∞,∞), f(3)=12, and f'(3)=-2. The linearization of f…

Q: The function f has a continuous second derivative, and it satisfes f(2) = 5, f'(2) = 0 and f"(2) =…

A:

Q: 11. Suppose a function is defined so that it has derivatives f'(x)=x²(1–x) and S"(x)=x(2-3x). Over…

A: Given that, the derivatives of a function f is defined asf'x=x21-xf''x=x2-3x We need to find the…

Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

A:

Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal…

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above…

A:

Q: 5. [ 4 ifx2 Show that f(x) = is not differentiable at x = 2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 6.) What is the derivative of f(x) = x| at x= 07 a.) r'(x) = 1 c.) f'(x) = 0 b.) f'(x) is undefined…

A:

Q: 4.9. Show that if f has a bounded derivative on [a, b], then f is of bounded variation.

A:

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: Please show steps.

A:

Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: 6. Locate the absolute extrema of the function H(x) = - x* Inx on 1 3 2' 2 Give exact solutions.

A: We have to find out absolute extrema

Q: 4) Find the values of x where the tangent lines to the graph of the function is horizontal. f(x) =…

A: a) Consider the function fx=xx2+16. To identify the x values where the tangent lines to the graph of…

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

A:

Q: 3. Use derivatives to find the critical points anc (a) f(x)= x³ – 9x2 + 24.x + 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1. Suppose that the revenue (in dollars) from the sale of x units of a certain product is given by…

A: The revenue function is given by Rx = 70x-0.05x2 To evaluate: The expression of R'(x) using the…

Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

A:

Q: True or False The graph of y = cos x is decreasing on the interval (0, π).

A: True or False The graph of y = cos x is decreasing on the interval (0, π).

Q: 3. The function f(x) = x^4 − 4x^3 + 8x has a critical point at x = 1.(a)  Find f"(x).   (b) Then use…

A:

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

A:

Q: 1 5. By using the cubic approximation of f(x) = --1 around a = 0 in question 4, estimate the error…

A:

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

A:

Q: Suppose the linear approximation for a function f(x) at a = 3 is given by the tangent line y -2x +…

A: The given functions are

Q: 4 If the critical number of the function f(x) =x is x 0, then the function %D is decreasing on (0,0)

A: We can find the decreasing interval as below.

Q: 3 Consider the function f(x) = 2+ 1+ (x+1)? Compute the derivative f'(x) . Determine all of the…

A:

Q: 4. Given f (x) =x' -12x +1. Use the second derivative test to determine the local extremum of f (x…

A: See the attachment.

Q: 6. Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x)

A: Slope of tangent is obtained by derivative of the function f(x).

Q: 6. Use the limit definition of derivative to find f'(x) for the functions below. (a) f(x) = /4r – 1…

A: limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local minimum at x = 4 and a point of…

A: Given: fx=x3+ax2+bx fx has a local minimum at x=4 . fx has a point inflection at x=1 . Since fx…

Q: 3- Suppose that the second derivative of the function y = f(x) is y" = (x + 1)(x - 2). For what…

A: 1)y'' = (x+1)(x-2)2)y' = (x-1)2(x-2)(x-4)

Q: 3 Find f(x) if f(1) = 1 and the tangent line at (x, f(x)) has slope f(x) =

A: on solving this we get the

Q: 2- By using mumerical approximation ,the value of the derivative (f'(x)) in the table is true f(x)…

A: To find the derivative.

Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

A:

Q: 1. Explain how would you determine the maximum value of y= 1 3-cos x

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.