409 Answered Questions for the topic Calculus 2

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
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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... more
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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)). 
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07/04/17

Evaluate the limit, if it exists.
lim x-->3    (1/x-1/3)/(x-3)
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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.  
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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... more
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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... more
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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 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
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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
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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 2
y = 4/x, y = 4/x2, x = 6   find the area
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Calculus 2

02/18/17

calculus 2
y = tan 5x, y = 2 sin 5x, −π/15 ≤ x ≤ π/15     find the area
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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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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
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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
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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
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