Find the maximum and minimum values of the function y 32t-t on the Interval [4, 61. %3D maximum minimum

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

A: fx,y=x3+3xy2-3x2-3y2+4   fx=3x2+3y2-6x   fxx=6x-6   fxy=6y   fy=6xy-6y   fyy=6x-6

Q: nd the absolute maximum and minimum of the function f F(x,y) = yx² where - 2<x<2 , -1<y<1

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Q: For what value of x does the function f(x) = x - 9x - 120x + 6 have a local minimum? O A. 4 OB. 10…

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Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

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Q: Find an equation for and sketch the graph of the level curve of the function f(x,y) that passes…

A: Level curve: - The level curves of a two-variable function f are those with the equations f(x,y) =…

Q: Determine two positive numbers e and f whose product is 27 and for which the value of 4f +3e is a…

A: Product is 27 and 4f+3e is a minimum.

Q: Find the minimum value of g(t)=t3−588t+4 on the interval [−7,15]

A: We can find the minimum value as below

Q: Find the maximum and minimum values of the function f(x, y) x?y subject to 3x² + 4y? = 36 = Maximum…

A: Since the constraint's graph is a circle, which is a closed loop and f is continuous in R2 , there…

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

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Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: find the specific function values. ƒ(x, y) = x2 + xy5 ƒ(2, 3)

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Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Vertical line test: If every vertical line cuts the graph only once then the graph will be a…

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

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: Show that the function f(x,y) = x³ + y³ – 63(x +y) + 12xy is maximum at (–7,–7) and minimum at…

A: Given function: fx,y=x3+y3-63x+y+12xy Formula Used: D-Test: For each point a,b where fxa,b=0 ,…

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

A: Given :f(x,y)=8xy-x3-4y2

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: Find the absolute extrema of the function on the closed interval.                       y = 3 − ∣t −…

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

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Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: The function y = has a: a) local max of % b) absolute max of % c) local min of % d) absolute min of…

A: The given function is: y=1x2+4

Q: The level curves of the function f (x, y) = V2x2 + y? – 1 are

A: Please refer to the image below

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: Find the local maxima and local minimum value of function f(x) =xx

A: We use first derivative test to find local maximum and minimum

Q: Find the local minimum value of f(æ, y) = 4+17 +y17 – 17ry.

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Q: Sketch the level curves of the function f(x, y) = = I x+y for c= -6.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: At what point is the following function a local minimum? f(x, y) = 8x²+5y? (5, 0) (8, 5) (8,-5) (8,…

A: Let f be a function with two variables with continuous second order partial derivatives fxx, fyy and…

Q: Find maximum and minimum points of the following function: y = 3x? – 2x +1

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Q: Give the interval where y is decreasing y=x²e^x

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Q: Find the extreme values of the function x²y with respect to x + y = 5

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Q: Find the relative minimum f(x,y)=288y2+x2-x2y

A: According to the given information it is requires to find the relative minimum of the function:

Q: Sketch the level curve of the function V(x, y) x² + y? for c 64. %3D

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Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.

A: The given function is,

Q: 01. What is the point of the minimum of the function y = 4x? + 4x – 15? А. (0.5,-16) В.(-0.5,-16) С.…

A: Given:- y= 4x2 +4x –15 Find the point of the minimum of the function Now, Let the point are (x, y)

Q: 10 f(x) 10 5 -10 10 X

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Q: Determine equation in factored form for the function, f(x), shown on the graph. y Intercept (0,6)…

A: By looking at the graph it can be said that the function is of order 3. Here, the x-intercept is…

Q: Find the relative maximum and minimum values. f(x.y) = e 2x2 + 9y2 +11 Select the correct choice…

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Q: What is the minimum of the function y = –x° + 3x for x < -1? O 2 O-4 4 O-2

A: We can solve it graphically. Graph of f for x&lt;=-1:

Q: Sketch the level curve of the function f(x, y) = x² + y? 2 for c = 1.

A: Level curve:  The level curves of a function f of two variables are the curves with equations f (x,…

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: 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 relative maximum and minimum values. f(x,y) = x² +y2 +4x- 12y

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Q: Use the graph of y = f(x) to:Where does the relative maximum occur?

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Q: Find the absolute maximum value and absolute minimum value of f(x, y) = 2a2 + 2y² + 4y – 1 on the…

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Q: Please

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Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

Q: Please

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