19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

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

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Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: For what value of the constant c is the function f continuous on (-∞, 00)? cx2 + 2x if x 2.

A:

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: 3x+8x74 F(x)=(7x-K x<4 X=4 11

A: Given f is continuous at x=4

Q: Suppose that f'(x) = (x − 1)³x² x + 3 Determine the interval(s) on which y = f(x) is decreasing.

A: To find out the intervals on which the function is decreasing.

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

A:

Q: 2. What is the lilm f(x)?

A: From the given graph in extreme left side we can clearly see that. If x tends to minus infinity then…

Q: Explain why you can not apply the mean value theorem to the function f(x) = x2/3 on the interval…

A:

Q: (b) Verify Mean Value Theorem for f(x)= 3x² – 7x – 4 over the interval[–1,4] .

A: Given: fx=3x2-7x-4

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: How do I show that F(x) are antidervatives of f(x)?

A:

Q: Let f(x) = 3xe

A: Answer and explanation is given below...

Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

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: For what value of the constant c is the function f continuous on (-∞, 0)? { cx2 + 5x if x 4

A:

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

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Q: Determine the interval(s) for which f(x) =- - 2x2 is concave down. 12

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Q: [4] 2. Find f'(x) using the limit definition of the derivative. Credit will not be given for any…

A:

Q: 3. Find the exact area of the piece of land in San Francisco, Surigao del Norte which is bounded by…

A: Topic:- application of integration

Q: Is the function given by f(x) = 5X+6, for x s5, 5x-14, for x>5, continuous at x=5? Why or why not?

A:

Q: 2 Show that the function f(x) = x-4x + 10x has no relative extreme points. 3X Relative extreme…

A: Given, Function: f(x) = 23x3-4x2+10x Differentiate f(x) with respect to x, we get: f'(x) = df(x)dx…

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: Find the absolute extrema of the function on the closed interval.                            y =…

A: y = 3x2/3 − 2x,                                   [−1, 1]   absolute extrema of the function = ?…

Q: Use the Intermediate Value Theorem to show that the graph of f(x) = 4tan(x) – x + 1 intersects the…

A: Please note that according to guidelines only first Q is solved. Please repost the other question.

Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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: Give an example of a derivable function f (x) with f ′ (- 4) = -3

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Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: Suppose that f(x, y) = yVx³ + 1 on the domain D = {(x, y) | 0 < y <x < 3]

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Q: Show that f(x)= |x| is not differentiable at x = 0.

A:

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: 5, what is f'(x)?

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Q: All critical points of f(x) satisfy f'(x)=0. Select one: True False

A: If a function f(x) is given and to find the critical point we have to equate the first order…

Q: Find the absolute extrema for the function over the specified domain. y = x2 5 over [ – 1, 2] -

A:

Q: Find the value of K that makes 4-x2 f(x) = {2-x if x # 2 2K if x = 2 continuous at x = 2 ?

A: Find the value of k

Q: Find the slpoe of the secant line between the values x 1 =-1 and x 2 =3 for f(x) = 8x - 3

A: Givenf(x)=8x-3x1=-1  x2=3

Q: (1, if x 2 %3D plot

A: f(x)=1, ifx&lt;01-x2if 0≤x≤2x+1if x&gt;2

Q: Find the length of the curve defined as: f (x) = 5x from x = 0 to x = 1

A:

Q: Use the second derivative test to locate all local extrema for the function f(x)=x3−32x2−18x. At…

A:

Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: The function f(x) = 2x° – 33x + 180x 2 has two critical points. The smaller one is x = and the…

A: We have to find