427 Answered Questions for the topic Calculus 2
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
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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...
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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...
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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...
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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
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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)).
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
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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
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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
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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
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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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04/05/17
If f is a function such that f ' (x) = - f(x)
then ∫ x f(x) dx =
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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)
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Calculus 2
02/28/17
Evaluate the integral. (Use C for the constant of integration.)
∫√27-6x-x² dx
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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.
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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
02/20/17
calculus 2
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis.
x = 1/y x = 0 y = 3 y = 4; the y-axis
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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
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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
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