Recent questions tagged q2

Find an anti derivative(or integral)of the function by the method of inspection $\cos 3x$

asked Dec 6, 2012 by sreemathi.v

1 answer

Integrate the function$\frac{(\large log \; x)^2}{\large x}$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral of the function: $\int sin(3x). cos(4x) dx$

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the functions\[\frac{1}{\sqrt{1+4x^2}}\]

asked Dec 5, 2012 by sreemathi.v

1 answer

Integrate the rational functions $\frac{1}{x^2-9}$

asked Dec 5, 2012 by sreemathi.v

1 answer

Find a unit vector perpendicular to each of the vector $ \overrightarrow a + \overrightarrow b$ and $ \overrightarrow a - \overrightarrow b$, where $ \overrightarrow a = 3\hat i + 2\hat j + 2\hat k$ and $ \overrightarrow b = \hat i + 2\hat j - 2\hat k$

asked Dec 5, 2012 by thanvigandhi_1

1 answer

Find the scalar components and magnitude of the vector joining the points $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$

asked Dec 5, 2012 by thanvigandhi_1

1 answer

Integrate the function\[x\;\sin3x\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Find the area bounded by curves $(x - 1)^2 + y^2 = 1$ and $x^2 + y^2 = 1$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area between the curves $y = x$ and $y = x^2.$

asked Dec 4, 2012 by thanvigandhi_1

2 answers

Integrate the function\[\sqrt{1-4x^2}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral as limits of sums $\displaystyle\int\limits_0^5(x+1)dx$

asked Dec 4, 2012 by sreemathi.v

1 answer

Evaluate the definite integral\[\int\limits_2^3\frac{1}{x}dx\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Find the area of the region bounded by $y^2 = 9x,\; x = 2,\; x = 4$ and the $x$ - axis in the first quadrant.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Evaluate the integral using substitution $\int\limits_0^\frac{\large\pi}{2}\sqrt{\sin\phi}\cos^5\phi\;d\phi$

asked Dec 3, 2012 by sreemathi.v

1 answer

By using the properties of definite integrals,evaluate the integral\[\int\limits_0^\frac{\Large \pi}{\Large 2}\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}\;dx\]

asked Dec 3, 2012 by sreemathi.v

1 answer

Integrate the function\[\frac{1}{\sqrt{x+a}+\sqrt{x+b}}\]

asked Dec 2, 2012 by sreemathi.v

1 answer

Verify that the given function(explicit or implicit)is a solution of the corresponding differential equation $y=x^2+2x+C\qquad:\;y'-2x-2=0$

asked Nov 30, 2012 by sreemathi.v

1 answer

Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.$y^2=a(b^2-x^2)$

asked Nov 30, 2012 by sreemathi.v

1 answer

Find the general solution $\large\frac{dy}{dx} $$=\sqrt {4-y^2} \; (-2\lt y \lt 2) $

asked Nov 30, 2012 by sreemathi.v

1 answer

Show that the differential equation is homogeneous and solve\[y'=\frac{x+y}{x}\]

asked Nov 29, 2012 by sreemathi.v

1 answer

Find the general solution of the differential equation$\large\frac{dy}{dx}$$+3y=e^{-2x}$

asked Nov 29, 2012 by sreemathi.v

1 answer

Show that the line through the points (1, -1, 2), (3, 4, -2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Find the direction cosines of a line which makes equal angles with the coordinate axes.

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Without expanding the determinant, prove that $ \begin{vmatrix} a &a^2 &bc \\ b &b^2 &ca \\ c &c^2 &ab \end{vmatrix}\; = \; \begin{vmatrix} 1 & a^2 & a^3 \\ 1 & b^2 & b^3 \\ 1 & c^2 & c^3 \end{vmatrix} $

asked Nov 29, 2012 by balaji.thirumalai

1 answer

verify that the given function (implicit or explicit) is a solution of the corresponding differential equation

asked Nov 29, 2012 by sreemathi.v

1 answer

Examine the consistency of the system of equations:\[\] \[\quad 2x -y = 5 \] \[\quad x + y = 4\]

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Solve the following Linear Programming Problems graphically: Minimise $Z =$ –$3x + 4 y$ subject to $ x + 2y \leq 8, 3x + 2y \leq 12, x \geq 0, y\geq 0.$

asked Nov 29, 2012 by fingeazy

1 answer

Find the adjoint of the matrix: $\begin{bmatrix} 1&-1&2 \\ 2&3&5 \\ -2&0&1 \end{bmatrix} $

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Write Minors and Cofactors of the elements of following determinants: $ (i) \quad \begin{vmatrix} 1&0&0 \\ 0&1&0 \\ 0&0&1 \end{vmatrix} $

asked Nov 29, 2012 by balaji.thirumalai

1 answer

Show that the points A (a, b + c), B (b, c + a), C (c, a + b) are collinear.

asked Nov 28, 2012 by balaji.thirumalai

1 answer

Using the property of determinants and without expanding, prove that \[ \begin{vmatrix} a-b&b-c&c-a \\b-c&c-a&a-b \\c-a&a-b&b-c \end{vmatrix} = 0\]

asked Nov 28, 2012 by balaji.thirumalai

1 answer

Evaluate the determinant: $\begin{vmatrix} cos\theta &-sin\theta \\ sin\theta & cos\theta \end{vmatrix}$

asked Nov 28, 2012 by balaji.thirumalai

1 answer

Find the principal values of the following: <br> $cos^{-1} \bigg(\large\frac { \sqrt 3} {2}\bigg)$

asked Nov 28, 2012 by vaishali.a

2 answers

Show that the function given by $ f(x) =\large \frac{\log \: x}{x}$ has maximum at $x = e.$

asked Nov 28, 2012 by thanvigandhi_1

1 answer