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Recent questions tagged q5-a

The unit cell of metallic gold is face centred cubic.How many atoms occupy the gold unit cell?

asked Jul 31, 2014 by sreemathi.v

1 answer

Out of 100 students,two sections of 40 and 60 are formed.If you and your friend are among the 100 students,what is the probability that,you both enter the same section

asked Jul 2, 2014 by sreemathi.v

1 answer

Which term of the sequence $2,2\sqrt 2,4,.......\:\:is\:\:128?$

asked Feb 25, 2014 by rvidyagovindarajan_1

1 answer

Show that : $\sin^{-1}\large\frac{4}{5}\normalsize+\cos^{-1}\large\frac{2}{\sqrt 5}\normalsize =\cot^{-1}\large\frac{2}{11}$.

asked Apr 22, 2013 by sreemathi.v

0 answers

show that the function $f(x)=x^2-6x+1$ satisfies the Lagrange's Mean value Theoem.Also find the co-ordinate of a point at which the tangent to the curve represented by the above function is parallel to the chord joining A(1,-4) and B(3,-8).

asked Apr 18, 2013 by sreemathi.v

1 answer

Examine the validity and conclusion of Rolle's theorem for the function $f(x)=e^x\sin x,\forall x\in [0,\pi]$.

asked Apr 17, 2013 by sreemathi.v

0 answers

Verify Rolle's theorem for the function $f(x)=e^{2x}(\sin 2x-\cos 2x)$ defined in the interval $\begin{bmatrix}\large\frac{\pi}{8},\frac{5\pi}{8}\end{bmatrix}$

asked Apr 16, 2013 by sreemathi.v

1 answer

Verify Lagrange's mean value theorem for the function $f(x)=3x^2-5x+1$ defined in interval $[2,5].$

asked Apr 16, 2013 by sreemathi.v

0 answers

Use Lagrange's mean value theorem to be determine a point P on the curve $y=\sqrt{x-2}$ defined in the interval [2,-3],where the tangent is parallel to the chord joining the end points on the curve.

asked Apr 15, 2013 by sreemathi.v

1 answer

It is given that Rolle's theorem holds good for the function : $f(x)=x^3+ax^2+bx,x\in [1,2]$ at the point $x=\large\frac{4}{3}$.Find the values of a and b.

asked Apr 12, 2013 by sreemathi.v

1 answer

Using a suitable substitution,find the derivative of $tan^{-1}\large\sqrt{\frac{a-x}{a+x}}$ with respect to $x$.

asked Apr 12, 2013 by sreemathi.v

0 answers

Evaluate : $\large\int\frac{x^2-5x-1}{x^4+x^2+1}\normalsize dx$.

asked Apr 11, 2013 by sreemathi.v

0 answers

If,$e^y(x+1)=1$,then show that : $\large \frac{d^2y}{dx^2}=\bigg(\frac{dy}{dx}\bigg)^2$

asked Apr 10, 2013 by sreemathi.v

0 answers

Find the vector and cartesian equations of the planes that passes through the point $(1, 0, -2)$ and the normal to the plane is $ \hat i+\hat j - \hat k $

asked Dec 15, 2012 by thanvigandhi_1

1 answer

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