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Recent questions tagged p26

At $2.00$ pm a car's speedometer reads $30$ miles/hr, at $2.10$ pm it reads $50$ miles/hr. Show that sometime between $2.00$ and $2.10$ the acceleration is exactly $120$ miles/hr$^{2}$.

asked May 4, 2013 by poojasapani_1

1 answer

If $f(1)=10$ and $f '(x)\geq 2 $ for $1\leq x \leq 4 $ how small can $f(4)$ possibly be?

asked May 4, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{3}-5x^{2}-3x\;[1,3]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{\large\frac{2}{3}}[-2,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagrange's theorem for the following function;\[\] $f(x)=2x^{3}+x^{2}-x-1\quad [0,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagranges theorem for the following function;$f(x)=\large\frac{1}{x}$$\quad[1,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Lagrange's law of mean for the following function;\[\]$f(x)=1-x^{2} \quad [0,3]$.

asked May 3, 2013 by poojasapani_1

1 answer

State whether the following statements are true or false. Justify. (i) For an arbitrary binary operation $\ast$ on a set N, $a \ast a=a \forall a \in N$

asked Mar 20, 2013 by balaji.thirumalai

1 answer

Evaluate:\[\int \frac{1+\tan x}{x+log \sec x} dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate: \[\int \frac{1}{e^x-1}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \sqrt {\frac {a-x}{a+x}}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \frac{\sqrt {\tan x}}{\sin x \cos x}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \frac{1+\sin 2x}{1+\sin^2x}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \frac{\sin 2x}{a^2\cos^2x+b^2\sin^2x}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \frac{\sin x+\cos x}{\sqrt{1+\sin 2x}}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \sin^2\bigg(2\tan^{-1}\sqrt {\frac{1+x}{1-x}}\bigg)dx.\qquad -1\leq x \leq1\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate: \[\int \frac{e^{2logx}-1}{e^{2logx}+1}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \frac{1}{\sin^2x\cos^2x}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int 3^{-2x}e^{-2x}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \cos^{-1}(\sin x)dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate: \[ \int \frac {1}{1+\sin x} dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate: \[\int \frac{(a^x+b^x)^2}{a^xb^x}dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate:\[\int \bigg(10^x+10x+\frac{10}{x}+\frac{x}{10}+x^{10}+10^{10}\bigg)dx\]

asked Feb 2, 2013 by meena.p

0 answers

Evaluate: \[\int |\; x\; |dx\]

asked Feb 2, 2013 by meena.p

0 answers

Consider a binary operation $\ast$ on $N$ defined as $a \ast b = a^3 + b^3$. Choose the correct answer:

asked Nov 21, 2012 by vaishali.a

1 answer

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