Find the local maxima and minima of f (x) = x - 3x2 24x +5 a. X1 = o(MAXIMA), X2 = 3 (MINIMA) O b. XI = o(MAXIMA), X2 = -3 (MINIMA), X3 = 3 (MINIMA) O c. X1 = 3(MAXIMA), X2 = -3 (MINIMA) O d. none of the following

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A: Find the y-intercept of the polynomial function.f(x) = x2(x - 1)(x - 6)

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A: By sketching the graph

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A: Introduction :

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A: Given,

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A: The given function is f(x,y)=-3x2-3xy-7y2+30x-60y+4

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: fx=-2x+5x25  differentiating both sides f'x=ddx(-2x+5x25)  f'x=-2+525x-35  f'x=-2+2x-35

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A: Plot the labelled graph for y.

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A: Given,         f(x)=-2x2+12x+3

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A: I am attaching image so that you understand each and every step.

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A: a)Given,

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A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: f(x) = 4x² + 6x g(x) = 2x² + 13x + 15 oJa) iven find Show your work.

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A: To find the point on the graph f(x)=4-x2 that is closest to the point (0,1)

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A: Differentiating with respect to x, we get Now consider,

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Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

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Q: Consider the Quadratic function f(x) = x² – 3x – 28. Its vertex is ( ). Its x-intercepts are ( ) and…

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