Find the value of x for which y = x3 - 3x2 has a minimum value. A. 1           C. 0 B. 2           D. -2

Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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Q: Find the minimum value of z = r? +y? subject to the constraint z + 2y – 5 = 0 (1,2,5) (2,1,5)…

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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

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Q: The maximum value of Duf(x, ys / f2 (x, y) + f (x, y) V O True False

A: We have to check whether the maximum value of Dufx,y=fx2x,y+fy2x,y.

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A: Equating first derivative of a function to zero will give us the critical points of the function i.e…

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Q: Find the minimum value of the function g(t) = t2 - 6t + 9, 1 … t … 6.

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Q: Given the equation  5x2 = 6x + 18 determine: The minimum value of y

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Q: For each value of λ the function h(x,y)=x2+y2−λ(6x+4y−18) has a minimum value m(λ). For which value…

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Q: Find the absolute minimum value of the function f (x, y) = 2x² + 2y? subject to the constraint 9x2 +…

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Q: Given: f(x) = x³ − 6x² + 9x + 5. Find the ABSOLUTE MINIMUM value of f (x) on [−1,2]. A. -11 B. 7 C.…

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Q: Suppose two numbers x, y satisfy x – y = 4. The minimum value of the quantity x² + 3y? is O 24 12 36

A: Given  x-y =4 Then x=y+4 And minimum value of u=x2+ 3y2   ...(1)

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Q: On a cosine function y=Acos(Bx)+C, which of the following expressions will always calculate the…

A: The cosine function is  y=Acos(Bx)+C

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Q: Determine the maximum r-values of r = 7cos4e. e= 0, 2 4 4 e= 0, T, 2 2 e= 2 e= 0,. 4' 4

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Q: What is the x-coordinate of a local minimum on the graph of y = 3 – 2x² +7? а. 13 d. 1 3. b. 2 е. -1…

A: Find the X co-ordinate of the local minimum

Q: Find the minimum value of f(x,y.z) = x? +y² +z? subject to 6x + 2y – 4z = - 56. The value of f at…

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Q: Which of the following equivalent forms of the equation y -4x -12x-7 can best be used to find the…

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Q: This extreme value problem has a solution with both a maximum value and a minimum value. f(x, y) =…

A: Given function fx,y is: fx,y=xy Let the other function be gx,y. gx,y:36x2+y2=7 Use the Lagrange…

Q: Recognize the maximum and minimum values of y from the following tabular function: 2 4 6 8 10 y =…

A: Explanation of the answer is as follows

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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: Q4:- Find the minimum value of the function f(x, y) = x + y, subject to the constraints xy = 16 , x…

A: Please see the explanation below

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

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Q: (d) Use calculus to determine the speed that minimizes T. What is the minimum value of T? Convert…

A: Part(d): For finding the minimum T we need to find first the value of a,b and c from the equation…

Q: Given: f(x) = x³ – 6x² − 15x + 7. Find the LOCAL MINIMUM point of f (x). A. (5, ƒ (5)) B. (−1, ƒ…

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Q: The relative minimum of y= x² – 4x +4 occurs at (A) x= -4 B None of the given choices c) x = -2 D) x…

A: We have to find out

Q: x? maximum point of y = — х — 12 х+5 O -0.76, -2.51 О 9.24, 19.48 О-9.24, -19.48 О 0.76, -2.51

A: Given y=x2-x-12x+5 To do Find the Maximum point of y

Q: Q. Find the absolute minimum value of w = x? + y2 + z subject to the constraints 2x + y + 2z = 9 and…

A: Solution :-

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A: Given that: Length of wire= 12inOne part is a circle and other part is a equilateral triangle.

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A: ANS: C

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x? + y? +…

A:

Q: Find the value or values of x for which y = 8x3 - 9x2 + 1 has a maximum or minimum value. x=0 min…

A: Given: y=8x3-9x2+1 To Find: The values of x for which the given function has a maximum or minimum…

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

A: Given that  f(x,y)=4x^2-5y^2

Q: Recognize the maximum and minimum values of y from the following tabular function: 2 4 6 8 10 y =…

A: Given tabular function is: To find the maximum and minimum value of y from the given table.

Q: If x and y are two positive numbers that satisfy xy = 7, then what is the minimum value of 2 x +3 y…

A: Find the minimum

Q: Which function has a greater minimum? f(x) = 5(x – 4) - 3 6. 5 4- y = g(x) 3+ 十+ -7-6-5 4-3-2 1 234…

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Q: f(x) = x² – 4mx + 6 %3| 7- Since the local minimum value of the function is -30, m = ? (m will be…

A: The given function is; f(x) = x2-4mx+6

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

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Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum. a. 1 and 2…

A: we have to find

Q: Which of the following equivalent forms of the equation y -4x-12x-7 can best be used to find the…

A: Consider the given equation.

Q: Find the absolute minimum value of the function 3x? + 2y? subject to the constraint f(x, y) 4.x2 +…

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Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: Find the relative maximum or minimum value (if any) of f(x, y) = 2x3 + xy2 + 5x2 + y2

A: The given function is: f(x,y)=2x3+xy2+5x2+y2

Q: S(x)= (x-4)'+1 Find the minimum on the interval [-2,5]

A: Given query is to find the minimum value of f(x) in the interval of [-2,5]