If f (x) = 3 sin x + 7 and g(x) = 2x – 7, what is the maximum value of f(g(x))?

Q: Find the absolute maximum value of the function y=xV3x-x² on the interval [0, 3].

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Q: In the function:  f(x)=(12−3x)e^x  What are the critical numbers of the function?  When is the…

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Q: f(x) = sin 2x,x e [0,2n]

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Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

Q: 4) Find the critical points of the function f(x) = x²- 9 x* + 15x +3 and identify their nature. Draw…

A: Given that: f(x)=x3-9x2+15x+3 The graph is shown below

Q: FIND THE MINIMUM AND MAXIMUM VALUE F (X) = X/(1-X) X e(0,1)

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Q: consider the function f(x)= xe-4x,t) , 0≤x≤2. and an absolute maximum value equal to:  which is…

A: Given: fx=xe-4x, 0≤x≤2

Q: (I) Find the critical points of the function f(x) = x + x² + 1

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Q: Find constants a and b in the function f(x) = axeb" such that f(-) = 1 and the function has a local…

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Q: Find the absolute maximum and absolute minimum values of f(x) = x ln ,e). on

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Q: Consider the function f(x) = 648x¬² + x³. Taking the initial point as x = 6 and increment value as…

A: Here, fx=648x2+x3 Take x0=6 and △=1 Iteration 1) k=0 of xk Now, xk+1=xk+2k△ Here, x0=6…

Q: Show that the function f(x) = e1/2)[(x-µ)/a}° has a relative maximum at x = µ.

A: fx=e-12x-μσ2 Differentiating with respect to x, we get…

Q: What is the minimum value of F(x) = -4 sin

A: Answer and explanation is given below...

Q: 1. Find the maximum and the minimum values of the function f(x)= 2x – tanx %3D in the interval 3' 3

A: Given: f(x)=2x-tanx Differentiate the function with respect to x. f'(x)=ddx(2x-tanx)=2-sec2x…

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

A: f(x) = ax3 + bx2 + cx + d f(x) = 3ax2 + 2bx + c Now, f(x) = 0  at x = -2, 1 Hence , roots of above…

Q: Find the absolute maximum and minimum values of f(x)= ln(x^2+3x+15) on the interval [-2,1]

A: We find f'(x) using chain rule

Q: Suppose we have a function z = a > 0. f(x, y) = -x² – y² + a(x +y) where a is exogenous and a.…

A: The given equation is z=fx,y=−x2−y2+ax+y Where a is exogenous and a > 0.

Q: Find the absolute minimum and absolute maximum of f(x)=ln(x2+10x+16) over the interval [0,4]

A: It is given that, f(x)=ln(x2+10x+16)   over the interval 0,4we have to find absolute minimum and…

Q: Determine the values of constants a, b, c, and d so that ƒ(x) = ax3 + bx2 + cx + d has a local…

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Q: Find values of a and b so that the function f(x) = x + ax +b has a local minimum at the point (7, -…

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Q: Find the positive critical point of the function f(x) = : 8+6 * x =

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Q: Find the critical numbers of the function.…

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Q: find the value of a so that the function f(x)=xeax has a critical point at x=6

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Q: . Determine the values of constants a and b so that f(x) = ax² + bx has an absolute maximum at the…

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Q: Find the maximum value of x if f(x)=5 sin x – Using Quadratic Interpolation with a relative error of…

A: Given: If f(x)=5sin x-x610, find the largest value of x. Using Quadratic Interpolation with a 1%…

Q: Determine the values of constants a and b so that ƒ(x) = ax2 + bx has an absolute maximum at the…

A: Given:

Q: Find the absolute maximum and minimum values of f(x) = x – 2x on the closed interval [0, 2]. -

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Q: Find the absolute minimum value on (0,infinity) for f(x)=4e^x/x^2

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Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

Q: Find a cubic function f(x) = ax + bx2 + cx + d that has a local maximum value of 4 at x = -3 and a…

A: Here we have to find the cubic function that has a local maximum value of 4 at x= -3 and a local…

Q: Find the critical points of the function x + 1 f (x) = (5 – x)² -

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Q: The function f(x)=2x^3−42x^2+270x+8has derivative f′(x)=6x^2-84x+270. f(x) has one local minimum…

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Q: True or false: The minimum value of the function y = 2 sin x + 1 is -1._______

A: True or false: The minimum value of the function y=2 sin x+1 is -1.

Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a. a local maximum at x = -1 and a local…

A: Find first derivative.

Q: Calculate the difference d between the global maximum and global minimum values of f(x)=x2−4x+6 in…

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Q: Find all the critical points of the function f(x) = x^3 - 2x^2 - 15x + 2 on the interval [-1, 3]

A: Let's find.

Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −4 and a…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

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Q: Find the critical points of the function x + 1 f(x) = (5 – x)2 -

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Q: Find the absolute maximum value and the absolute minimum value of the function S(x) =x+2 sin xr on…

A: Differentiate the function fx=x+2sinx with respect to x, to find f'(x). To obtain the critical…

Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: The quotient rule of differentiation states that: d dxuv=vdudx-udvdxv2. At critical points of a…

Q: f has relative maxima at x = and x = f has an absolute maximum at

A: Given that : Graph of the function f on [ 0, 28 ]:

Q: find all critical points of the function f (x) = xe^2x

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Q: a) f(x)= x° (x – 4 )²

A: To find critical number of f(x)=x45(x-4)2

Q: Find the critical numbers of the function  f(x) = 2cos x + sin 2  x

A: Since, we have been given that f(x)= 2 cos(x) +sin2 (x) -(i)Our Aim is to find the critical numbers…

Q: Consider the function y = 3x - C(In x) where C represents a constant. If this function has a local…

A: If any given function f(x) has local maxima or minima at x=a, then the point corresponding to x=a…

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

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