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Test: Maxima Minima (Derivative)- 2 - Question 1

A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 m. Find the radius of the semicircular opening of the window to admit maximum light.

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Test: Maxima Minima (Derivative)- 2 - Question 2

The point of local maxima for the function f(x) = sinx. cos x is

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Test: Maxima Minima (Derivative)- 2 - Question 3

A real number x when added to its reciprocal give minimum value to the sum when x is

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Test: Maxima Minima (Derivative)- 2 - Question 4

The sum of two positive numbers is 20. Find the numbers if their product is maximum

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Test: Maxima Minima (Derivative)- 2 - Question 6

f(x) = x^{5} – 5x^{4} + 5x^{3} – 1. The local maxima of the function f(x) is at x =

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Test: Maxima Minima (Derivative)- 2 - Question 7

How many units should be sold so that a company can make maximum profit if the profit function for x units is given by p(x) = 25 + 64x - x^{2}

Test: Maxima Minima (Derivative)- 2 - Question 8

Find two numbers whose sum is 24 and product is a large as possible.

Test: Maxima Minima (Derivative)- 2 - Question 9

A point c in the domain of a function f is called a critical point of f if

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Test: Maxima Minima (Derivative)- 2 - Question 10

Find two positive numbers x and y such that x + y = 60 and xy^{3} is maximum

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