Find the value of x for which y = x5 – 5x3 – 20x – 2 will have a maximum point.

Q: ABZ Mart sells whole-grain foods and its revenue is given by R(x) = 100 – %3D 400 x where x is the…

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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 relative maxima or minima. Maximum of ƒ(x, y) = 3xy, subject to x + 2y = 32

A: Given f(x,y)=3xy , subject to x+2y=32 To find the relative maxima: x+2y=322y=32-x⇒y=32-x2 Hence,…

Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

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Q: Find the relative maximum and minimum values. =x2 + y² - 6x + 12y - 9

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Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: 5. y2 2x y26-x fx, y) = 4x+ 3y Minimum: Maximum: | | | | |

A: We need to find maximum and minimum values of f(x,y).

Q: One of the stationary points of the function y = 4z5 – 6z + z2 - 2 is (-1,1 Is this a maximum or…

A: Given: One of the stationary point of the function y = 4x5 -6x3+x2 -2 is (-1, 1). To find: Is the…

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

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Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

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Q: Find the maximum and minimum value of x² + y3 – 3axy

A: *to find:- maximum & minimum value of z = f(x,y).

Q: can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer.

A: To check: Whether Q have maximum value or not. Given: The functions are Q=x2+y2, if x+y=6. Concept…

Q: Find the minimum value of xy, when p²x* + q²y* = r². %3D

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Q: Suppose that x and y are two positive numbers, and suppose that r+ 2y = 30. Find the maximum value…

A: Given that: x+2y=30…

Q: What is the maximum value of the function f(x, y) = 4 – x² – 2y? subject to the constraint 2 + y? =…

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Q: Find the maximum and minimum points of y = x5 - 5x3 – 20x – 2 %3D |

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Q: In the equation y =x³ - 3x² -24x + 6 the minimum point is said to be

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Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

Q: Find the maximum of Q= xy if x+ y = 50. The maximum value of Q is Q =

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Q: f(x) = (x – 3)^2 (3x – 1) Identify the maximum number of turning points.

A: The given function is  f(x)=x-323x-1  We have to identify the maximum number of turning points.

Q: Determine the break-even quantities (Minimum and Maximum Quantities). R(x)= -2x2+20x, C(x)= 4x-40

A: Break even occurs when C(x)=R(x)

Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16

A: f(x,y)=12xy-x2-3y2 , subject to x+y=16

Q: - Discuss the maximum and minimum of x + y +6x+12. .2

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: The Minimum point of y = 8x+4 (x-2)²

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: maximum point of y x²-x-12 X+5

A: Maximum point of y is the point on the graph where y has the larger (maximum) coordinate than any…

Q: What is the absolute minimum for the function f(x, y) = 4x2 + y? subject to the constraint equation…

A: For the solution of the problem follow the next steps.

Q: Find the minimum and maximum of y = f(x) = x³ – x² – 3x + 2

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Q: Find the relative maxima or minima. Maximum of ƒ(x, y) = x2 - 5y2, subject to x - y = 12

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Q: Q4B: Find min,max points for y = 2x- x2 %3D

A: The given function is y=2x-x2. Compute the critical point as follows. y'=0ddx2x-x2=02-2x=02x=2x=1…

Q: Suppose that y = nx2 - 15x - 2 has a maximum at x = -3. Determine the value of n. %3D

A: If a function y=f(x) has a maximum at some value x=c, then the derivative of the function at x=c is…

Q: With profits from an Apple orchard is given by P(x)=x(404−2x) dollars, where x is the number of…

A: Given :-Profit function isP(x) = x (404-2x) dollarswhere x is number of almond trees per acreWe have…

Q: Find the maximum value of 5x2 - 4xy+ 8y subject to x+y? = 1..

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Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Discuss the maximum and minimum of x2+y2+6x+12

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Q: Find the maximum value of x + y subject to the constraint x2 + y? = 18. %3D

A: We will use Method of Lagranges multiplier to fing maximum value

Q: (C) f(r, y) = 4x2 – 5y2: maximum value = minimum value =

A: Given that  f(x,y)=4x^2-5y^2

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: Suppose that x and y are two positive numbers, and suppose that x + 2y = 30. Find the maximum value…

A: Given data:   The first equation is x+2y=30. The expression for the function is f(x,y)=(x+1)(y+3).…

Q: x= t2 - 4t y= 2t3 - 6t what is the minimum and the maximum point?

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Q: Find the maximum and minimum points for y = x^5 -5x^3 -20x – 2

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Q: t is the absolute minimum value of h(x) = -2x² %3D

A: Solution of the problem as follows

Q: Suppose a manufacturer of washing machines found that when the unit price is $x, the revenue R (in…

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Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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Q: The owner of a video store has determined that the profits P of the store are approximately modeled…

A: Profit function, P(x) = -x2 + 30x + 76

Q: maximum point of y X – 2

A: Given equation: y2=x2x-2

Q: An electronics manufacturer determines that the profit P(in dollars) obtained  by producing and…

A: Consider the given function, Px,y=8x+10y-11000x2+xy+y2-10,000 Noe find the critical points by…

Q: Find the values a,b,c,d which make the quadratic function f(x)=ax3+bx2+cx+d have a local minimum…

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