3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every respect. Provide evidence to support your position.

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: Determine all critical points of the function f(x) = 2x(4- x)³.

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Q: 1 Is the function given by f(x)= 3x+2, for x ≤ 3, 4x-7, for x>3, continuous at x = 3? Why or why…

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Q: 3 Show that the function f(x) = - 2x + 5x has no relative extreme points. Relative extreme points…

A: Consider the function fx=13x3−2x2+5x Differentiate fx=13x3−2x2+5x with respect to x…

Q: Determine all the critical points for the function. f(x)=6x^5+33x^4−30x^3+100

A: We have to determine all the critical points for the function  f(x) = 6x5 + 33x4 - 30x3 + 100 We…

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: If the critical point of the function f(x.y)-x- y- 2xy +6 is (0.0). test this point whether it is:

A: We use second order partial derivative to know about critical point behaviour

Q: Determine all critical points for the following function. 128 f(x) =x? +

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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: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. x2…

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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: 6. If two functions f (x) and g(x) have positive slope at x = a, must the function h(x) = f (x)g(x)…

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

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: The function is given by f(x) =-2x3+6x2-3 To evaluate : The point of local maxima or local minima.

Q: Compute the derivative of f (x) = x 1/3 using the limit definition.                            (x +…

A: Given: fx=x13 To Find: The derivative of the given function using limit definition

Q: Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 f(æ) = 6x – k x <4

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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: For what value of the constant c is the function f continuous on (-∞, 0)? cx2 + 8x x3 - cx if x < 5…

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Q: 7. Consider the function *+1 if r< 2 f(x) = 3-1 if z 2 2 (a) Show that ƒ has no fixed point.

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Q: Consider f(x) = 3X. What is the best approximation for f'(2)?

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Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

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

A: Solution

Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

Q: f(z) = z2

A: We have to show the given function is not analytic at any point.

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: am having trouble finding the equation of the line tangent to the graph of f at (1,1), where f is…

A:

Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: Determine all critical points for the function. f(x) = x2 + 6x + 9 %3D

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

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Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

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

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: Indicate all critical points of the function f(x)=∣∣x2−5∣∣.

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Q: given the function f(x)=axln(x+b), where function is decreasing at x=1-b?

A:

Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

A:

Q: 1. Use the second derivative test to find the relative extrema of the following function. f (x) =…

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

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Q: 4. a) Find the value of x where the function f(x) = (x – 4)3 is not differentiable.

A: According to power rule of differentiation , .

Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6

A:

Q: 4. Use the limit definition of derivative to find f'(x) for f(x) = V5x + 1. You will only get credit…

A:

Q: Examine whether or not the function fx' - 2r +1 ifxs 2 S (x)= x'-2r +1 [3x-2 if x>2 Is continuous at…

A: Given function, fx=x3-2x+1,     if x≤23x-2,            if x&gt;2 To find the continuity of the…

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

A:

Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

A:

Q: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

Q: What is the x-value associated with the extreme point of the following function: 1*1.1^x+ 1*0.2^x?

A: Given Data: Function: fx=1×1.1x+1×0.2x The derivative of the given function is,…

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x − 4/x − 2 are the same…

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Q: Show that a function f decreases most rapidly at x in the direction opposite to the gradier (that…

A: Solve with given conditions

Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53

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

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: