The function f(x) : (4x + 8)e has one critical number. Find it. %3D

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A: Find h'(x) to find the critical points.The x-coordinate for critical point is (1/4).

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Q: find all critical points of the function f (x) = x3 − 9/2^ x2 − 54x + 2

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Q: 21. Find the quadratię function y = ax² + bx + c whose graph passes through the points (-1,0), (1,…

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Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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Q: (a) Find all the critical points, extreme values, interval of concavity and the zeros of the…

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Q: if y=x to the 3rd power - 3x. find the maximum value of y? -1

A: Given

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A: Given equation is: y = -3x - 16

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Q: Find the critical numbers and determine whether they yield relative maxima, relative minima, or…

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Q: (b) Find the values of a and b so that the function f(x) = x2 + ax + b has a local maximum at the…

A: f(x)=x2+ax+b

Q: Q3/ Optimize the function Z = x + x ? Subject to: x1 + x2 4 x1, x2, 2 0 Using Lagrange multipliers.

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Q: Scanned With Camca Find the maximum of f(x) = et

A: This question can be solved using the concept of maxima and minima.

Q: explain this.    the given height of a spaceship at time x is defined by h(x)=…

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Q: Find the relative maximum and minimum values. 3 3. f(x,y) =x +y° - 15xy

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Q: The degree of f(x) is and the leading coefficient is There are distinct real zeros and relative…

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Q: Given f(x)=3x¹-8x' +10, find critical points (b) interval increase and decrease

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Q: Find the critical local extreme points (if any) to the function -2x3 f(x, y) = + y? + 8x — 6у 3 Vour…

A: We will find out the required critical local extreme point.

Q: Find the values of x, y and z that correspond to the critical point of the function: 23D f(+, у) —…

A: Given  z = f(x, y) = 2x2-6x-3y+3y2+5xy We have to find the critical point of the function.

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: As we are making a box, its height must be greater than 0. So we have x>0. As the width of the…

Q: Find all the local maxima, local minima and saddle points of the function f(x,y)=3+2x+2y-2x2-2xy-y2

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Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

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Q: Consider the function f(x) = x³ – 6a² +5, where rE [-5,5] a) Find the critical values in x. b) For…

A: The given function is f(x)=x3-6x2+5 , x∈-5,5

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Giveny=-5x-14

Q: Find the absolute maximum of the function f(x) = x-x-x On the interval - 10 sxS2 (a) 14 (b) 13 (e)…

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

Q: For what value of x does the function f(x) - 4x attain the absolute minimum %3D in the interval…

A: The given function is                                        f(x)=13x3-4x and the given interval is…

Q: 3) Given f(x) =-2x -2x-2, find the absolute maximum value over the interval [0,6].

A: We have to slove the above question and find absolutely maximum value

Q: f(x) = x – e2x %3D

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Q: For what value of x does the function g(x) = (x2 - 4)2 attain the abslolute maximum in the interval…

A: Given g(x) = (x2 -4)2

Q: Find, if any exist, the critical values of the function f(x) = x* – 8x³

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Q: Find the critical numbers of the function: g(t)= |4t-5| Thank you!

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Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: For what value of X does the function f(x) =x² - 9x² - 120x +6 nave a relative minimum? A) 4 10 -4 3

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Q: Determine the values of x at the critical points of f(x)=x -3x -0.25x+3.75 and classify each…

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Q: The function f(x) = x3+Ax+B has a stationary point at (-2,3). Find the values of A and B .

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Q: Find the critical number of the function. g(t) - | 2t - 5| t =

A: Given,    g(t) = | 2t-5 |   For critical points,  Make modulus to zero.    So,  2t - 5 = 0 t = 5/2

Q: Find the critical point of the function f(x, y) —7- 5х — бх?+ 5у — 4у? This critical point is a:…

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Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

Q: Find the critical numbers of the function

A: Given function is Differentiating with respect to x, we get

Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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Q: Please

A: The given function is

Q: fla)= 9 (x=4)° +2 +2

A: Given fx=9x-42+2.

Q: Find the critical numbers and the local maximum and minimum values of the function f(x) = x* - 2x²…

A: Given :                   f(x) = x4 - 2x2 + 3

Q: Find the maximum and minimum values of the function f(x, y) = x²y subject to 4x? + 2y? = 24 Maximum…

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Q: Find the local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: Find the local maximum and minimum values of f using both the First and S f(x) = 6 + 3x2 – 2x³ local…

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Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x² – 12x + 5

A: In the question we have to find critical points.

Q: Consider the function f(x) = 0s xs 2. 9x2 +1' This function has an absolute minimum value equal to:…

A: To find absolute maxima and minima on the interval [0,2] for the function: f(x)=-x9x2+1