367 Answered Questions for the topic Calculus 2

Calculus 2 Arc Length

05/11/17

#### Find the arc length of the curve on the given interval using calculus.

Find the arc length of the curve on the given interval using calculus.x=arcsint
y=ln(1-t2)1/20≤t≤1/2

Calculus 2

05/05/17

#### Find the radius of convergence, R, of the series. Also find the interval of convegence of the series.

∞
∑ (-1)n n4xn/7n
n=1

04/12/17

#### A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontal sides of width 100 cm and 50 cm.

A cattle trough has a trapezoidal cross section with a height of 100 cm and horizontalsides of width 100 cm and 50 cm. Assume the length of the trough is 1000 cm. Thedensity of water is = 1000...
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Calculus 2 Series

04/11/17

#### Find all the values of x such that the given series would converge.

∞∑n=1 (x−4)^n /n^n

Calculus 2

04/10/17

#### Find the points on the curve where the tangent is horizontal or vertical.

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. (Enter your answers as a comma-separated list of ordered...
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Calculus 2 Polar Curve

04/03/17

#### What is the slope of the line tangent to the polar curve? At theta = 0

r = 1+2sin(theta)

Calculus 2

02/28/17

#### Find the volume V of the described solid S

The base of S is an elliptical region with boundary curve 4x^2 + 25y^2 = 100. Cross-sections perpendicular to the x-axis are isosceles right triangles with hypotenuse in the base.

#### Calculus 2: Work Done by Pumping a Water Tank

A water tank in the shape of a hemispherical bowl of radius 4 m is filled with water to a depth of 2 m. How much work is required to pump all the water over the top of the tank? (The density of the...
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Calculus 2

02/20/17

#### calculus 2

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.
y = 1/xy = 0x = 3x = 9

Calculus 2 Integral Calculus

02/19/17

#### Does anyone know how to integrate 2pi*(1-x^2)*sqrt(4x^2+1)

Basically what the questions states. Thanks

Calculus 2

02/18/17

#### CALCULUS II

Set up the definite integral that gives the area of the region.y1 = (x − 7)3y2 = x − 7

Calculus 2

02/18/17

#### calculus II

Set up the definite integral that gives the area of the region.y1 = x2 + 2x + 3y2 = 2x + 19

Calculus 2

02/13/17

#### Calculus 2

The graphs of the "performance function" P= P(t) of someone learning a skill as a function of the training time t. Suppose that for a specific learning activity, it is determined that P(0) = 0.1M...
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#### Cylindrical shells

Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.x + y = 7, x = 16 − (y − 3)^2

02/12/17

#### Find the area between these curves

Hi, I need help finding the area between these curves. I get the principal of finding the area between curves (sorta) but i am mostly stuck finding out how to find the limits of the definite...
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Calculus 2

02/06/17

#### Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 2e−x, y = 2, x = 6; about y = 4

thanks

Calculus 2

02/04/17

#### Inverse trigonemtric functions

Simplify the expression. tan(sin−1 x)
Thank you in advance.

Calculus 2

02/04/17

#### Use the shell method to find the volume of the region below the graph of f(x)=cos(x^2) [0,1/2sqrt(pi)] is rotated about the y-axis

find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]

Calculus 2 Integration

02/04/17

#### find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]

find the volume generated by revolving the region between them about the x-axis: f(x)=2 and g(x)=cos(x) [0,Pi/2]

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