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... more
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... more

If f is a function such that f ' (x) = - f(x)

then ∫ x f(x) dx =
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

Evaluate the integral. (Use C for the constant of integration.)

∫√27-6x-x² dx
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 Calculus Calc 2

02/24/17

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... more
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 2

y = 4/x, y = 4/x2, x = 6   find the area
Calculus 2

02/18/17

calculus 2

y = tan 5x, y = 2 sin 5x, −π/15 ≤ x ≤ π/15     find the area
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... more
Calculus 2 Volume Radius Height

02/12/17

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
Calculus 2 Math Area University

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... more
Calculus 2

02/06/17

calculus 2 derivatives

  y= 3tan^-1(x-√(1+x^2))   finding derivative 
Calculus 2

02/06/17

calculus 2

h(t) = 15 cot−1(t) + 15 cot−1(1/t)   finding derivative
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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