25. Let f(x) =: with h = 0.5. Does f(-2+h) equal or -2+h +? Compute the difference quotient at a = -2

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

A:

Q: 53. Is the function given by Sx + 1, for x << 4, f(x) -x + 7, for x 2 4, continuous at x = 4? Why or…

A: Given a function, f(x)=x2+1,      for x&lt;4-x+7,     for x≥4 To find whether the function is…

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given Data: A producer of pedal-powered ice cream makers has determined that the revenue from the…

Q: Suppose ƒ is an even function and Evaluate

A:

Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

A:

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: S) Is the function given by 2-4x-5 f(x)= x-5 x+1,x25 .continuous at x = 5? Why or why not?

A:

Q: For what value of the constant c is the function f continuous on (-0, 00)? C =

A:

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

A:

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

A:

Q: For what value of the constant k is the function f continuous on (-∞, 0)? 5x2 – kx + 7 if x 7 k =

A:

Q: 4. Why is f'(x) approximated well by the difference quotient when Ax is very small?

A: Derivative of function f by definition is: f'x=lim∆x→0fx+∆x-fx∆x This is the difference quotient…

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: Let fog- X-1 when-x+- Féndalle of fwthah cail makefis continulous at x-l-

A: For the given function we have to find the value of f(1) such that it make the function continous at…

Q: 49. Is the function given by g(x) = x² 3x continuous at x = 4? Why or why not?

A: Given: g(x)=x2-3x Determine the limit at x=4. limx→4g(x)=limx→4(x2-3x)

Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

A:

Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Suppose g is the function defined by picture where k and m are constants. If g is differentiable at…

A: Solution

Q: 66. What will be the function g(x) resulting from normalizing the function f(x) = x³ − x4 defined in…

A: To find : function gx resulting from normalizing the function fx=x3-x4 defined in the domain 0, 34

Q: 64. Is the function given by f(x) = continuous %3D =2- 6x + 8 at x = 3? Why or why not?

A: We have to check the given function fx=1x2-6x+8 is continuous at x=3 or not. To check the continuity…

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A:

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: Find the values of a and b so that f will be differentiable at x = 3.

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Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 2x + 3 on the…

A:

Q: - Find f (x) given f' (x) 6x2 - 4x + 3 and (2, 15) is on the curve of f (x) .

A: To find the function from derivative we need to integrate.Here we will integrate to find f

Q: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Show that the function is discontinuous on R. f(x) = { 1; 0; for x € Q for a Q

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

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Q: - Given f(x)= -, find f(x). 2+x %3D 6.

A:

Q: Consider the function f(x)=/25-x² . Is L(x) an overestimation or an underestimation of ƒ(x) near…

A: Differentiate the function fx=25-x2 with respect to x, to find f'(x) and f''(x). Calculate f(3) and…

Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

A:

Q: Over which interval is the function f (x) = x3 -4x2 + 5x concave upward?

A:

Q: 1 Is the function given by f(x) = ) 5x+1, for x s5, continuous at x= 5? Why or why not? %3D 5x- 19,…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Find the value k that makes the function continuous. Ska², f (æ) = x > 2 kx + 12, x < 2

A: Topic - continuity Function is continuous If its left hand linit is equal to right hand limit and…

Q: What kind of discontinuity does f(x) = *-3 have at x = 2? X-2

A: A function is said to possess non-removable discontinuity if the limit of the function does not…

Q: If f(x) is vs, what is the minimum value of f(x) for xE(0,2]? 7. 25 when 8. f(x) ={ 1 x+- otherwise…

A: Introduction :

Q: if x + 3 Q3: Let f(x) = show that f(x)is continues at x 3 %3D ifx = 3

A: Continuity Definition: A function f is said to be continuous at a point a if  fx has a definite…

Q: 26) The interval where f(x) is decreasing is?

A: Answer and explanation is given below...

Q: 14) What is the domain of the function f(x) E, ?

A:

Q: х — 1 - 2. For f(X) calculate f-'(8) = ? %3D х — 3 -

A: Given : f(x) = (x - 1)/(x - 3), we want to find the function f-1 that takes the value y as an input…

Q: 5. Is the function given by g(x) = 4x³. 6x continuous on R?

A: