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Recent questions tagged ch8

Find the area of the region bounded by $y=\sqrt x$ and $y=x.$

asked Jan 16, 2013 by sreemathi.v

1 answer

Determine the area under the curve $y=\sqrt{a^2-x^2}$ included between the lines $x=0$ and $x=a$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Draw a rough sketch of the curve $y=\sqrt{x-1}$ in the interval [1,5].Find the area under the curve and between the lines $x=1$ and $x=5$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Using integration,find the area of the region bounded by the line $2y=5x+7,x$-axis and the lines $x=2$ and $x=8.$

asked Jan 16, 2013 by sreemathi.v

1 answer

Calculate the area under the curve $y=2\sqrt x$ included between the lines $x=0$ and $x=1$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Sketch the region $\{(x,0):y=\sqrt {4-x^2}$} and $x$-axis.Find the area of the region using integration.

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region bounded by the line $x=2$ and the parabola $y^2=8x$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region enclosed by the parabola $x^2=y$ and the line $y=x+2$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region included between $y^2=9x$ and $y=x$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region bounded by the curve $y^2=4x,x^2=4y$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region bounded by the curve $y=x^3$ and $y=x+6$ and $x=0$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region bounded by the parabola $y^2=2px,x^2=2py.$

asked Jan 16, 2013 by sreemathi.v

1 answer

Find the area of the region bounded by the curves $y^2=9x,y=3x.$

asked Jan 15, 2013 by sreemathi.v

1 answer

Sketch the graph of y=| x+3 | and evaluate$\Large \int\limits_{-6}^0\normalsize| x+3 |dx$

asked Dec 17, 2012 by sreemathi.v

1 answer

Find the area of the circle $4x^2 + 4y^2 = 9$ which is interior to the parabola $x^2 = 4y$.

asked Dec 4, 2012 by thanvigandhi_1

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 of the region bounded by the curves \(y = x^2 + 2, y = x, \: x = 0\) and \(x = 3.\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using integration find the area of region bounded by the triangle whose vertices are $(-1, 0), (1, 3) $ and $(3, 2)$.

asked Dec 4, 2012 by thanvigandhi_1

2 answers

Using integration find the area of the triangular region whose sides have the equations \(y = 2x + 1, y = 3x + 1\) and \(x = 4.\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the smaller area enclosed by the circle \(x^2 + y^2 = 4\) and the line \(x + y = 2\) is \[ \begin{array}{1} (A)\;2(\pi - 2) \qquad & (B)\;\pi - 2 \qquad &(C)\;2\pi - 1 \qquad & (D)\;2 ( \pi + 2) \end{array} \]

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the area lying between the curves \(y^2 = 4x\) and \(y = 2x\) is

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area under the given curves and given lines: $ (i) \: y = x^2, x = 1, x = 2 \: and\: x - axis$

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

Find the area of the region lying in the first quadrant and bounded by $y = 4x^2, x = 0, y = 1$ and $y = 4$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area bounded by the curve $(y = \sin\; x) $ between $ (x = 0) $ and $(x = 2π).$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area enclosed between the parabola \(y^2 = 4ax\) and the line \(y = mx.\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area enclosed by the parabola \(4y = 3x^2\) and the line \(2y = 3x + 12.\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the smaller region bounded by the ellipse \( \frac{\large x^2}{\large 9} + \frac{\large y^2}{\large 4} =1\) and the line \( \frac{\large x}{\large 3}+ \frac{\large y}{\large 2}= 1\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the smaller region bounded by the ellipse \(\Large { \frac{ x^2}{ a^2}}+\Large { \frac{ y^2}{ b^2}} =\normalsize 1\) and the line \(\Large { \frac{ x}{ a}}+\Large { \frac{y}{ b}} =\normalsize1\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region enclosed by the parabola \(x^2 = y\), the line \(y = x + 2\) and the \(x\) - axis.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using the method of integration find the area bounded by the curve I x I + I y I =1 . [Hint: The required region is bounded by lines \(x + y = 1, x - y = 1, -x + y = 1\) and \( -x -y = 1\)].

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area bounded by curves {(x, y)$ : y\: \geq\: x^2\: and \: y = |\; x\; |$}.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3).

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Using the method of integration find the area of the region bounded by lines: \(2x + y = 4, 3x - 2y = 6\) and \(x - 3y + 5 = 0\)

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region ${(x, y) : y^2\: \leq \: 4x, 4x^2 + 4y^2\: \leq\: 9}$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the area bounded by the curve $ y = x^3$, the $x$ - axis and the ordinates $x = -2$ and $x = 1$ is

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the the area bounded by the curve $y = x |\; x\; | ,\; x$ - axis and the ordinates $x = -1$ and $x = 1$ is given by [Hint : $y = x^2$ if $x > 0$ and $y = -x^2$ if $x < 0$].

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the the area of the circle \(x^2 + y^2 = 16\) exterior to the parabola \(y^2 = 6x\) is \[\begin{array} (A) \frac{4}{3} (4\pi - \sqrt 3) \quad &(B) \frac{4}{3} (4\pi + \sqrt 3) \quad & (C) \frac{4}{3} (8\pi - \sqrt 3) \quad & (D) \frac{4}{3} (8\pi + \sqrt 3) \end{array}\]

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the the area bounded by the \(y\) - axis, \(y = \cos\: x\) and \(y = \sin\: x\) when \(0 \leq x \leq \frac{\large \pi}{2}\) is

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in the area of the region bounded by the curve $y^2 = 4x,\; y$ - axis and the line $y = 3$ is

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Choose the correct answer in area lying in the first quadrant and bounded by the circle $x^2 + y^2 = 4 $ and the lines $x = 0$ and $x = 2$ is

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region bounded by the curve $y^2 = 4x$ and the line $x = 3$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area bounded by the curve $x^2 = 4y$ and the line $x = 4y - 2$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region bounded by the parabola $y = x^2$ and $y = \left | x \right | $.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

The area between $x = y^2$ and $x = 4$ is divided into two equal parts by the line $x = a$, find the value of $a$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the smaller part of the circle $x^2 + y^2 = a^2$ cut off by the line $x =\Large { \frac{a}{\sqrt 2}}$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region in the first quadrant enclosed by $x$ - axis, line $x = \sqrt {3}\: y$ and the circle $x^2 + y^2 = 4$.

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region bounded by the ellipse $\frac{\Large x^2}{\Large 4 } + \frac{\Large y^2}{\Large 9} = 1$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

Find the area of the region bounded by the ellipse $\frac{\Large x^2}{\Large 16} + \frac{\Large y^2}{\Large 9} = 1$

asked Dec 4, 2012 by thanvigandhi_1

1 answer

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

asked Dec 4, 2012 by thanvigandhi_1

1 answer

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