Given the function y = 3 – 3x, what value of z in the interval [-3, 3] will give the absolute maximum value for y? a. 1 O b. 4 C. -2 d. 3 е. none of the choices

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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…

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A: To solve the following problem

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Q: 3. Find the number in the interval E,2] such that the sum of the number and its reciprocal is (a) a…

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A: a Given that, the function is fx=x2+1x+1x-5, -1,5. Find the first derivative of the given function…

Q: applications of differentiation/optimization problem - calculus

A: Keeping E and r fixed, we need to maximize the power given by the expression,

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A: Given fx=x3+ax2+bx has local minimum value -239 at x=13 to find  value of a and b explanation as…

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A: Given two curves are y=c1x2+k   and x2+2y2-y=c2  , where c1 & c2 are arbitrary constants. Let us…

Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the…

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

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: It is given that at x = 1, the function x" - 62x? + ax + 9 attains its maximum value in the interval…

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Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of…

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve .…

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A: Introduction :

Q: For what value of x does the function f(x) =x 4x attain the absolute maximum %3D in the interval…

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Q: At what point does the following function have a local maximum? f(x. y) = 3-8x + 18y-4x2-9y2 O a.…

A: Given: f(x, y)=3-8x+18y-4x2-9y2

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: 4. Determine the minimum value of the function y = f(x) defined implicitly in the equation x² + 3xy…

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Q: Based on the table to the left, which statement is NOT true? O h(2) = -5 o h(-1) + h(0) = h(0) +…

A: Consider the given table xh−1−30−11−32−5 We have to check which of the given statement is not true.…

Q: 5. Argue that the function f(x, y) = x²y(5 – x² – y?) has an absolute maximum in the first quadrant…

A: 5.    f(x, y) = x2y (5-x2-y2)∂f∂x= 10xy -4x3y-2xy3∂f∂y = 5x2-x4-3x2y2∂f∂x=0  ⇒10xy -4x3y-2xy3=0…

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: Find the absolute maximum value of the function f(x) =-z² – 4x – 2 on the interval [3, 3 ]. a) О-2…

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Q: If 0 = KHLV-, where k is a constant, and there are possible errors of ±1 per cent in measuring H, L…

A: We will find out the required value.