Given h(x), find two functions fand g such that h(x) =(f•g)(x). a. h(x) =|2x° – 5| b. h(x) = /9- 4x

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: Find the values of x for which  f(x)=(1/3)x3 +(5/2)x2 +6x-17 Has a tangent line that is parallel…

A: As the line is parallel, slope of them will be equal. Slope of f(x)=x33+5x22+6x-17 will be :…

Q: Find the crirtical point for the function f(t)=t-4(sqrt(t+1))

A: To determine the critical point of the given equation.

Q: 2. F(X) = x (x-6. %3D

A: Find the critical numbers of F(x) using first derivative

Q: let f(x) = 18 square root of x - 3x a. Find all points on the graph of f at which the tangent line…

A: Given f(x)=18squareroot of x-3x Finding the points as shown below

Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

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Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

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Q: Show that, for any constant k, f(x)' dxL k f'(x) k

A: To show: For any constant k, ddxf(x)k = f'(x)k

Q: Given the function f(x)=In(x² -4x+3) a. Find the domain of f(x) b. Find all x values where f (x) has…

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Q: If  f is continuous and  ∫04 f(x)  dx  =10 find∫02f (2x)  dx,

A: Given:

Q: Given f(x)=9x^2−7x+4, find f'(x) using the limit definition of the derivative. f'(x)= If you dont…

A: Given function, fx=9x2-7x+4

Q: Suppose, f'(x)=2cosx+ sec x, -7<x<7½, and it is known that f(T) =D4. Find the function f(x). IT

A: Integrating on both sides, we get

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

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Q: (b) Given f(x)=9x – 6x² + x. Find F(x) dx in the form a In|g(x) + h(x)], where a is a constant

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Q: Find k such that the line is tangent to the graph of the function.

A: To find: The value of k. Given: The tangent on the curve fx=k-x2 is y=-6x+1. Concept used: The…

Q: find the derivative:  c(x)=(x2)500x (the choices are in the image bellow)

A: This question is based on Chain rule differentiation. d/dx {f(x).g(x)} = g(x).d/dx{f(x)} +…

Q: Find a, b, and c for the function f(x) = a sin(bx – c) such that the graph of f matches the figure.…

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Q: dr a) -sin³ x b) sin² x Q7. Find the range of the function y= a) x>0 b) x 3

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Q: For what values of æ does the function f (x) = 12x – æ³ have a horizontal tangent line? Select all…

A: The given function is fx=12x-x3

Q: (a) If e19z f (2) = z10 + 49 at how many points the function f (z)is discontinuous ?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: Which of the following is the x-coordinate of a relative extremum of the function f(x) = = Arct…

A: We will use first derivative test to determine the extremum of the function.

Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

A: Given function are f(x) = sin x   and g(x) = x2 We have to find the value gfπ4

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kv x y = 4x…

A: The function is fx=kx and the equation of line is y=4x+4. Equate both the functions: kx=4x+4k=4x+4x…

Q: Find values of a, b, and c such that the graph of f(x) = ax³ + bx² + cx_has a horizontal tangent at…

A: The graph passes through (1,1). So at x=1, f(x)=1

Q: Suppose f(x, y) = 2 sin(11xy) and g(x, y, z) = v144 – x2 - - Find the following function values. f…

A: Suppose f(x, y) =2 sin(11xy) and g(x, y, z)=√(144 - x2 - y2 - z2) To find the following function…

Q: (A) Find the absolute maxima and minima for ,3 Y = x + 5 over [-V2, v2). (B) Use the second…

A: y = x33-x+5y' = 3x23-1y' = x2 -1x2-1 = 0x2 = 1x = ±1

Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function…

A: Find all the intervals for where the function is increasing and decreasing

Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: Let f(x) = 4x3 + + 2Vx – 7. Find f'(x). 15. Find an equation for the tangent line to the graph of…

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Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

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Q: If f(1) = 12, f' is continuous, and f'(x) dx = 17, what is the value of f(4)?

A: topic - definite integration

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: Given f(x): 5x² 6x +13, find f'(x) using the limit definition of the derivative. f'(x)=

A: Given problem:- Given f(x)= = 5x²-6x+13, find f'(x) using the limit definition of the derivative.

Q: For the following exercise, find the critical points in the domain of the following function:…

A: giveny=sin2xdiffrentiatedydx=2sinxcosx=sin2xfor critical points putdydx=0

Q: 2. Given the function f(x) = sinx and g(x) = x*, find the value of g(f

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

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = kVx y = 4x +…

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Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

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Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: Find (f1) (a). f(x) = tan-(x) 6x2, a = 0 (F-1)'(a) = Additional Materials

A: We use the property of function and inverse function and differentiate both sides with respect to x.…

Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

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Q: 52² – 5y? lim (2.)(0,0) 7x2 + 7y

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Q: Find a function F(x) for which F(0)=7 and df/dx= 9ex -2sinx+3x

A: GivendFdx=9ex-2sinx+3x

Q: Find a function ø(x, y) that is harmonic in the wedge < 0 on the left side and ø = 2 on the right…

A: Here, we need to find a function φx, y that is harmonic in the wedge π3&lt;θ&lt;2π3. Note: We will…

Q: (c) For what value(s) of x does the graph f (x) =3x³ – x² +3 have a horizontal tangent.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let f(x) = 8x – 15x2 – 3, x2 1.5. Find the value of df -1 at the point x =1185= f(6). dx

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Q: For the function f(z) = ¹, the point z 1-e Z = 0 is

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Q: For which value(s) of x does f(x)=−7x22+6x−3 have a tangent line of slope −7? Select all correct…

A: we have to find value of x at which slope of tangent line to f(x)=-7