Given the function: y(x) = - a x 2 + b x + 12. What is the maximum value of y? Take a = 6 and b = 11. The value of x for which y is maximum is given by: x = 2a Please round your answer to the nearest whole number (integer) and put it in the answer box.

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A: The function is A=-4x2+40x.   Differentiate the function with respect to x. dAdx=ddx-4x2+40x=-8x+40…

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A: We haveRx=145p−0.25p2

Q: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives…

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A: For one of the standard form of the parabola  y=ax2+bx+c The axis of symmetry is at x=-b2a.

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A: f(x,y)=6-x2-5x-y2fx=-2x-5             ; fy=-2yfxx=-2                    ;…

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A: To complete the square and find the maximum values of the given function.

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A: Given:

Q: тахz 3D 2x +у S.t х+ys60 2х + у 2 40 y< 30 х, у 2 0

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A: Given query is to find the maximum value of the function.

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A: See the attachment

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A: Given,R(P) = 45P – 0.25P2

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A: Solution of question as follows

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A: The profit function for a certain commodity is P (x) = 130x-x^2 - 2000. Find a level of production…

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Q: The profit for a product is given by P = 1600 – 100x + x² , where x is the number of units produced…

A: P = 1600-100x +x2a) for minimum profit dPdx =0dPdx= -100+2x = 0        dPdx&lt;0 till   x = 50⇒x =…

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Q: Find the maximum value of the function f(x) = x3-9x2 + 15x- 5. Answer.

A: The objective is to find the maximum value of the function.

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Q: what is the maximum value of the function y=-x^3+3x for x ≥ -1

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Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.

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Q: The number of photo copies distributed is given by C = 50t² - 200t + 10000, where t is in years.…

A: Here, C=50t2-200t+10,000