(a) Find the points of local maxima and minima, if any, of the following function defined in 0 andle; x andle; 6.x3- 6x2+ 9x + 15(b) Integrate Correct answer is '0'. Can you explain this answer? - EduRev Computer Science Engineering (CSE) Question

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Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > (a) Find the points of local maxima and minim...

(a) Find the points of local maxima and minima, if any, of the following function defined in 0 ≤ x ≤ 6.

³ - 6x² + 9x + 15

(b) Integrate

Correct answer is '0'. Can you explain this answer?

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(a) Find the points of local maxima and minima, if any, of the followi...

f''(1) < 0, so x = 1 is point of local maxima, f''(3) > 0, so x = 3 is point of local minima.
Also the end points 0 and 6 are critical points. 0 is point of local minima, because it is to the left of x = 1 (which is point of maxima). Similarly x = 6 is point of local maxima.

(b) Since xcosx is an odd function, by the properties of definite integration, answer is 0.

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(a) Find the points of local maxima and minima, if any, of the following function defined in 0 ≤ x ≤ 6.x3- 6x2+ 9x + 15(b) Integrate Correct answer is '0'. Can you explain this answer?

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