The function g(x) has been reflected across the x-axis and compressed vertically by a factor of 1/3.

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the local and absolute extremum for the functions over their domain: x²+2x-3 4. f(x) : x-2 ||

A:

Q: Find a point c satisfying the MVT for the given function and interval. 2 y = x3 [0,8]

A:

Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

A:

Q: Given the function g(x) = -x² + 5x +14, determine the average rate of change %3D of the function…

A:

Q: For the function f(x)=x3-3x, its local maximum is which occurs at ( its local minimum is which…

A:

Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

A:

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

A:

Q: Find the linearization of the function f(x) = x^8 at x = 1

A:

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: The graph of f (x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A: Given that fx=x is reflected over the x-axis shifted vertically up 1 unit ,horizontally compressed…

Q: For the function f(x)=x^3−27x, its local maximum is __ which occurs at (___; its local minimum is __…

A: To find the local maximum and local minimum for the function f(x) = x3 – 27x

Q: If f (x) = 2", which equation represents a function that has been reflected over the x-axis, has a…

A: Definition and the knowledge of the functions help to find the required function. When a function…

Q: 6. The parent function f(x) = Vx is translated 2 units right, compressed horizontally by a factor of…

A:

Q: The average rate of change of the linear function f(x) =3x +5 between any two points is_________ .

A: Given that: The linear function f(x) = 3x + 5.

Q: Let L(x) be the linearization of the cube root function at x=8. When using L(x) to approximate the…

A:

Q: For the function f(x) = x³ – 27x, its local maximum is which occurs at ( its local minimum is which…

A:

Q: Find the local and absolute extremum for the functions over their domain: 1. f(x) = x2 – 6x + 8

A: Given

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

Q: Determine the equation of the line tangent to the graph of the following function at x = 0. g(x)…

A: The given function is

Q: Find the linearization L(x)  of the function f(x)=x^3/4  at x=16

A:

Q: Find the inflection points of the function f(x) = ln(x^2 + 1)

A:

Q: )For the function f(x) = x-48x, its local maximum is which occurs at ( ... its local minimum is…

A: Solve by derivative test

Q: The function f(x) = 12 – 6x* has an absolute maximum value of 0 and this occurs at æ equals

A:

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: 2 For what values of x does the graph of f(x) = 2x° + 3x – 180x – 1 have a horizontal tangent line?

A: First we find the derivative of f(x), the slope of f(x) for horizontal tangent is 0 and the…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Find the domain of the function: f(x) = ln(3 - x)

A: The Domain of a function Includes all values of x for which the function is defined. We know that a…

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: Find the linearization of the function f(x)=ln(2x+3) at x=-1

A:

Q: Find the global extrema of the function f(x)=x4−2x2−1 on [0,+∞).

A: Given function is Differentiating both sides with respect to x, we get Now, we will find critical…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: F(x)=In(52x+n • (x+2) ) %3D

A: Find the derivative of the function

Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

A:

Q: Find the linearization of the function f(x) = 1/(9x+8) at x = -1.

A: Topic : function

Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: The graph of f(x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A:

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Given the function g(x) = -x² + 6x + 11, determine the average rate of change of the function over…

A:

Q: Find the distance between the local maximum and the local minimum values of the function f(x) =x -…

A: n order to find maxima and minima of a function , we have to follow the two stepsStep 1:  Find the…

Q: Is f (x) = 4e-0.3xan increasing or a decreasingfunction?

A: Given: fx=4e-0.3x To Determine: Whether fx is increasing or decreasing function. Concept: a. If…

Q: Find the absolute maximum value of the function. f(x) = 2(x – e*)

A:

Q: Find the local and absolute extremum for the functions over their domain: 2. f(x) = x3 + 4x2 – 11x –…

A: Given function is  f(x)=x3+4x2-11x-2

Q: Find the average rate of change of the function g(x) = x³ – 7x + 9 from x = 0 to x = 3.

A:

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: 1. What is the average rate of change of the function f(x) = x² - 4x + 7 on the interval 1 ≤ x ≤ 3?

A: average rate fo change in an interval (a,b) =f(b)-f(a)b-a