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Recent questions tagged p22

Using Rolle's theorem find the points on the curve $y=x^{2}+1,-2\leq x \leq 2$ where the tangent is parallel to $x$- axis.

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following function; $f(x)=4x^{3}-9x;-\large\frac{3}{2}\leq x\leq \frac{3}{2}$.

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following functions; $f(x)=|x-1|,0\leq x\leq 2.$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following function; $f(x)=x^{2}, 0\leq x\leq 1$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following function; $f(x)=\sin x, 0\leq x\leq\pi$.

asked May 3, 2013 by poojasapani_1

1 answer

Find the maximum profit that a company can make if the profit function is given by \[P(x)=41-24x-18x^2\]

asked Jan 30, 2013 by meena.p

1 answer

Find the sides of a rectangle of greatest area that can be inscribed in the ellipse $ x^2+4y^2=16$

asked Jan 30, 2013 by meena.p

1 answer

A poster is to contain $50cm^2$ of matter with borders of 4 cm at top and bottom and of 2 cm on each side. Find the dimensions if the total area of the poster is minimum.

asked Jan 30, 2013 by meena.p

1 answer

Two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3cm/sec. How fast is the area decreasing when the two equal sides are equal to the base?

asked Jan 30, 2013 by meena.p

1 answer

Find the local maximum and local minimum value of the function. \[f(x)=\sin x+\frac{1}{2}\cos 2x\;in\;[0,\pi/2]\]

asked Jan 30, 2013 by meena.p

1 answer

Find two positive numbers x and y such that their sum is 16 and sum of whose cubes is minimum.

asked Jan 30, 2013 by meena.p

1 answer

Find the interval in which $ y=x^2e^{-x}$ is increasing.

asked Jan 30, 2013 by meena.p

1 answer

Find the intervals in which f(x) = logcosx is strictly decreasing and strictly increasing.

asked Jan 30, 2013 by meena.p

1 answer

At what point in the interval $ [0,2\pi] $ does the function $\sin2x$ attain its maximum value?

asked Jan 30, 2013 by meena.p

1 answer

FInd whether $ f(x)=e^x$ has maxima or minima.

asked Jan 30, 2013 by meena.p

1 answer

Without using derivatives find the maximum and minimum value of $ f(x) = \sin2x+7 $

asked Jan 30, 2013 by meena.p

1 answer

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