The absolute maximum value of the function f(x) =x3 – 12x +4 on the closed interval [-1,3] is equal to None of these O -12 O 15 O -5 O 20

Q: The absolute minimum value of the function f(x) = 9x² – 18x + 8 over the interval [0, 10] O 1 O 8 -1…

A: Find the minimum value of the given function.

Q: Find the critical point for the function f(x)=2x2-4x+1 O 4 O none O 1.5 O 1

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Q: Find the absolute maximum and absolute minimum 3 of f(x) = + x² – 35x over the interval [3, 7]. 3

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Q: Find the absolute maximum and minimum of f (x)=x* – 2x -x - 4x +3 on the closed interval [0, 4]. а.…

A: fx=x4-2x3-x2-4x+3 Differentiating wrt x, we get  f'x=4x3-6x2-2x-4 Putting f'x=0, we get…

Q: Determine all critical points for the function. f(x) = x3 - 12x + 1 O x = -2, x = 0, and x = 2 O x =…

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Q: Find the critical numbers of the function.    g(x)=x^4-2x^2+3

A: The given function is g(x)=x4-2x2+3.

Q: Find all critical points of the function f(x)=4x^5-5x^4-40x^3+11 and classify each critical point as…

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Q: The function f(x) = x -x2 - x- is graphed in 11 %3D 4 the xy-plane above. If k is a constant such…

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Q: 1. Find the absolute maximum and the absolute minimum of the function f(x) =-9x+5 %3D over the…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Let g(x) = x4 – 2x² + 1. (a) Find all critical points of g. (b) Find the absolute maximum and…

A: Given: a)      gx=x4-2x2+1  Critical points:        Critical points are the points where the…

Q: For the function f(x) = -2x + 3x2 + 12x 1. Find all the critical points of the function f(x). 2.…

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Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

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Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: Let g(x) = xª – 2x2 + 1. (a) Find all critical points of g. (b) Find the absolute maximum and…

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Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: 4. Find the absolute maximum and absolute minimum values of the function on the given closed…

A: We need to find critical points and check value of f(x) at boundary values and critical points to…

Q: 1. Find the absolute maximum and minimum on the given interval [1,6]. g(x) = x³ – 6x²

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Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x +5 on the interval [0, 3].

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Q: The absolute minimum value of the function f(x) = 4x² – 8x + 3 over the interval [0, 5] O 1 O 3 o -1…

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Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the…

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Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: find the critical point for the function f(x)=2 x³ +3 x2 – 12x+4 X' 3,-4 O -1,2 O 1,-2 O None

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Q: The function f(x) = 2x 30x2 + 126x 1 has two critical numbers. - The smaller one is x = and the…

A: Solution: the objective is to find the critical numbers of the given function

Q: The critical points of the function f(x)= 2x-24x+1 are O a. -2,0 O b. 1,2 O c. 0,2 O d. -2,2

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Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

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Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

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Q: Find the absolute maximum and minimum values on the interval: g(x) = In(x² + 6x + 20), [-5, 1]

A: Let  be a function defined over an interval  and let  We say  has an absolute maximum on  at  if…

Q: Let g(x) = x4 – 2x2 + 1. (a) Find all critical points of g. (b) Find the absolute maximum and…

A: Use derivative

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

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Q: Find all the critical numbers for the function g(x) = ¼ x4 - x3 - 5x2

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Q: Find the absolute maximum of p(x)=x2 −x+2 over [0,3].

A: We have to find absolute maximum of f(x) in given interval .F(x) is given as:

Q: The function f(x) = (6x + 3)e-6a has one critical number. Find it.

A: Given: f(x) = 6x + 3 e-6x To find: Critical number  Proof: We will differentiate the function w.r.t…

Q: Find the absolute maximum value of g(x) = 4.x° – 18x2 – 48x + 60 on the interval [0, 6], if it…

A: Given, gx =4x3 -18x2 -48x +60 We have to find absolute maximum value of g(x) on the interval 0,6

Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: Find the critical numbers of the function.   f(x)  = 4 +1/3x  - 1/2x2

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Q: In the function:  f(x)= (7x+B)/(4x+b) , with 7b>4B What are the critical numbers of the function?

A: Given:

Q: Find the critical numbers of the function * 4 f(x) = x3 (x + 7)2 0, 2, and 7. 0, 2, and 4.

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Q: 6. Determine f such that f"(x) = 12x – 1 and 1 is both a critical number and a y- intercept of f.

A: A differential equation is an equation in x,y and derivatives of y. A linear differential equation…

Q: Find the absolute maximum value of p(x) = -x² – x + 1 over er[-1,1].

A:

Q: f(x) = 3 x*-4 x-12 x2+1, has local maximum at x=

A: Given :            f(x) = 3x4 − 4x3 − 12x2 + 1

Q: Find the absolute maximum and absolute minimum values of the function f(z) = x* – 2x² + 1 on [0, 3].

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Q: Find the absolute maximum and absolute minimum  of f(x)=e−2xf(x)=e−2x  over the interval…

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Q: 10. Use the closed interval method to find the absolute maximum and absolute minimum values of f(x)…

A: Maximum minimum value problem....

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: 26 a. The function f(x)=x- 6x² + 9x-3 is defined on the interval [0,5]. Find the critical points of…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: 6 Find the critical numbers of the function f(x) = x5 - * – 12x2 .

A: The given function is  fx=x65-12x12.

Q: 1. Find the absolute maximum and absolute minimum values of fon the given interval. f(x) = 2x3 - 3x²…

A: Given Data: Function: fx=2x3-3x2-12x+1 Interval: -2, 3 The derivative of the function is,…

Q: find the absolute maximum and minimum values of the function f(x)= x^4-2x^2+1 on the interval [0,3]

A: We find f'(x) using the power rule

Q: 3. Find the critical numbers of the function g(x)= 5x -8.

A: Given:

Q: 5. Determine the Wronskian of the functions (x)=x2 and g(x)=3x2. For what values of x is the…

A: Please refer to the image below