Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3 + 3x2 – 9x

Q: Find the critical points of the given function. 1 a) f(x) = -√24/3+2¹/ +2-2/3

A: Since multiple questions are asked, I am answering first question

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

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

Q: g(t) = tV13-t, t<13 %3D Find any critical numbers of the function

A: Given function, g(t)=t13-t         ...(1)

Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

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Q: For what value(s) of k will the function g(x) = x? - kx + 9 have only one zero?

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Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: The function f(x) = 2x3 – 39x? + 240x + 9 has derivative f'(x) = 6x? – 78x + 240. %3D f(x) has one…

A: Given data:   The expression for the given function is f(x)=2x3-39x2+240x+9. The expression for the…

Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: Find the value of C such that the fnction Continubus on (-00,00) Cx +1 for XS 2 f(x)= r4x+I-3 for…

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Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 7x - 7xy - 3y…

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Q: Ex 2. Find the critical points for: |a) f(x)= 2x³ +3x? b) f(x) ={Vx² –1

A: Critical points are the points where local maxima or minima of a function occurs.

Q: find the critical point and classify it. a. f (x,y) =xlny + x2 -4x -5y + 8

A: The answer is given below:

Q: Find h(0), h(x + 3), and h(-x) for h(x) = x + Vx² – 1. 2)

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Q: Find the critical numbers of the function. (E F(x) = x4/5(x – 5)² %3D

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Q: Find all critical points of the function:  f (t) = 8t3 − t2

A: If f has a local extremum (maximum or minimum) at C and if f'(c) exists, then f'(c)=0. A critical…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 2x - 5xy- 4y…

A: We have to find local maximum and local minimum value.

Q: Find the maximum and minimum values of f(x, y)=x+3xy2-3x2-3y²+4.

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 2x - 5xy - 9y…

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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: Find the local extrema of the function f(x) =r³ – 3r² – 9x.

A: Given that: f(x)=x3-3x2-9x

Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: Let's solve for maximum and minimum value of function.

Q: Find the critical numbers of the functions. a) f(x) = 4x° + 4x b) f(x) = x? – 4x² – 5x ) f(x) = 3x3…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the critical number(s), if any, of the function f(x)=x3-15x-3

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Q: t) Find the critical numbers of the function f(æ) = 2 %3D 2r+3

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

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Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y +…

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Q: Find Critical numbers of the given function: x² +5 f(x) = %3D x - 2

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Q: Consider the function f(x)=xe^-7x, 0≤x≤2. Find The absoulute mininum and maximum.

A: Given data: The given function is f(x)=xe-7x. The given limits of x are [a, b]=[0, 2]. The first…

Q: Find all the local maxima and minima of the function f(x,y) = x3 + y3 - 3x -12y + 4

A: We have given function f(x,y)=x3+y3-3x-12y+4   Then,…

Q: Find the critical numbers of the function. f(x) : 6x2 – 9x %3D

A: given f(x)=6x2-9xdiffrentiate the function to calculate critical pointsf'(x)=12x-9

Q: The function f(x) 223 42x? + 240x – 11 has two critical numbers. The smaller one is x = and the…

A: Let's find.

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 all the local maxima, local minima, and saddle points of the function.…

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Q: . Find all the local maxima, local minima and saddle points of the function below. f(x, y) = 2x³ +…

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Q: Find the critical point for the function f(x)=5x2. 4 - 1 40 none O 18 O 4

A: Given function is                                                f(x)=5x2-x4 we have to find…

Q: The function f(x) = 2x 30x2 + 54x – 7 has two critical numbers. - he smaller one is x = nd the…

A: Given query is to find the critical value of the function.

Q: Find the zero(s) of the function algebraically. f(x) = 2x + 18

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Q: 2. a) Find a formula for f1 for the function y = f(x) = vx – 35

A: To find f-1 for y=f(x)=√(x-35)

Q: Find all the local maxima, local minima, and saddle points of the function. 4x² + 4y² - 32x f(x.y) =…

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Q: Find all the local maXima, local minima, and saddle points of the function f(x, y) 6x2 – 2x3 + 3y² +…

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Q: Find the critical point of the function f(x, y) = – 7 – 5x + 4x? + 6y – 2y? This critical point is…

A: f(x,y)=-7-5x+4x2+6y-2y2

Q: Find all critical points of the following function. f(x.y) = x? - 3xy + 2y +6x- 9y +5

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Q: 15 二 9-3y+15 3ut

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Q: Find the critical numbers of the function. a. f(x) = x3 + 6x? – 15x b. g(x) = V1- x2

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Q: Find the absolute extrema of fGx\=x. %½x°- 2 x+1 on the interval E1,2I.

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Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: 2: Find all the local maxima, local minima, and saddle points of the function f(x, y) = 24xy – 4x* –…

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Q: find the maximum and minimum values of f(x,y)=x3+3xy2-3x2-3y2+4

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +…

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