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330 Answered Questions for the topic Calculus 2

Calculus 2 Calculus

09/28/17

Calculate the laplace transform.

Calculate the Laplace Transform of the function f(t)=0
Calculus 2

09/25/17

y=6u^2 - 10u + 4; u= 1/x^2 for x=1/4 and the derivative for x=1/4 is? dy/dx |

dy/dx | x= 1/4   =?
Calculus 2 Calculus Trig

09/10/17

Trig Substitution

∫(x^2)/((16-x^2)^(3/2))dx   I keep on getting the wrong answer. 
Calculus 2 Calculus Trig

09/10/17

Trig Substitution

∫(√x^2-81)/(x^4)dx I can't seem to figure out this problem. Please help.
Calculus 2 Integration

09/06/17

How do I integrate (2x+1)/(x^2+16)^2 dx?

I'm suppose to use partial fractions, and I'm given the hint: "Each denominator contains a repeated irreducible quadratic factor".
Calculus 2

09/06/17

How do I integrate cosx/(sin^2(x)+9)^2dx?

I'm given the hint: "Make a substitution before using partial fraction decomposition". edit: squared the denomenator
Calculus 2 Calculus Power Series

08/13/17

Find the interval of convergence of the power series

Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer... more
Calculus 2 Calculus Maclaurin

08/13/17

Find the Taylor or Maclaurin polynomial Pn(x) for the function f with the given values of c and n.

Find the Taylor or Maclaurin polynomial Pn(x) for the function f with the given values of c and n. Then give a bound on the error that is incurred if Pn(x) is used to approximate f(x) on the given... more
Calculus 2

08/05/17

A. Find the local extrema for the revenue function. ​ B. On which intervals is the graph of the revenue function concave​ upward? Concave​ downward?

A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing the new line in a large city, the marketing research department found that the demand in that city... more
Calculus 2

08/05/17

Find (A) f'(x), (B) the partition numbers for f' , and (C) the critical numbers of f.

f(x)=x3−75x−1
Calculus 2

07/07/17

integrate by parts arcsinx/(sqrt(1+x)) dx

 Needing help with an integration by parts problem. A hint was given with the problem as follows, "sqrt(1-x^2)=sqrt((1-x)(1+x)). 

07/04/17

Evaluate the limit, if it exists.

lim x-->3    (1/x-1/3)/(x-3)
Calculus 2

06/27/17

I have a question

how do you find the limit at x approaches 0 of (sin(4x)/sin(7x) without using lhospital rule
Calculus 2

06/21/17

determine the minimal distance from the point (0,3), to the parabolla y=6-x^2?

send me the answer in step by step and the final solutions, please.  
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
Calculus 2 Calculus Work

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

04/05/17

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
1 2 4 6 7 14

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