31. f(x) = 2x3 -3x2-36x %3D

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: Find the value of the constant k that makes the function continuous.

A: A function is relation between set of inputs and output. The piece-wise function is a function which…

Q: For the following function, y = -32 + 15x + 6x² – x³ (a) find the critical values, (b) test for…

A: Given:     y=-32+15x+6x2-x3 We have to find: Critical values, and test for concavity to determine…

Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 4 – 3 x, and the line…

A: Given: f(x)=4-13x If the given line is y=mx+c with slope m then the slope of a line perpendicular to…

Q: Find the absolute extrema of the function on the closed interval.

A: Given function is  y=3-t-3,   -1, 5

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: Find the point of diminishing returms (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Examine the function f(x, y) = −3x² - 4y² + 15x - 8y + 5 for relative extrema.

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Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

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Q: C. The cost to maintain inventory for the weather balloons is given by C(x) 21,500 %3D + 2.4x ,…

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Q: find the value of the constant ( a, b, or c) that makes the function continuous.

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Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

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Q: For the function f(x) = |x2 − 4|, find the critical points, test them to find extreme values. Which…

A: According to the given information, it is required to determine the extreme values of the function.

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x? –…

A: Given function is fx,y=4x2−7x−6y+2y2 Differentiate fx,y=4x2−7x−6y+2y2 partially with respect to x…

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Determine the concavity and the x values where the points of inflection occur for :  y = x + 1/x -…

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where the marginal return starts to diminish. Point of…

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: 1. Given the function f(x) = Vx5 – 3Vx², find the interval(s) of increase.

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Q: What is the relative extrema for the function f(x,y) = -x^4 - y^4 ?

A: Given function is f(x,y)=-x4-y4 Find the relative extrema

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

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: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: usider the following. y = 4x3 - 36x2 + 5 %3D (a) Find the critical values of the function. (0,5),(6,…

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Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular…

A: We have to find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Please can you answer quickly z= x² + xy + y² - y What is the x-component of the minimum point of…

A: Given: z=x2+xy+y2-y To determine: The x-component of the minimum point of function.

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

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

A:

Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

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: What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO…

A:

Q: arke

A: please refer to the image below

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

A:

Q: For the function f (x) =x³ – 3 -x² + 8 , find the coordinates of all Critical Points.

A: Given, fx=x3-3x2+8

Q: For the following exercises, use the second derivative test to identify any critical points and…

A:

Q: fla)= 9 (x=4)° +2 +2

A: Given fx=9x-42+2.

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

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Q: For the following exercises, use the second derivative test to identify any critical points and…

A:

Q: Consider the following function. x3, x2 y = - 2x + 6 3 (a) Find y' = f'(x). f'(x) = (b) Find the…

A: We havey=x33+x22-2x+6

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

A: