436 Answered Questions for the topic Calculus 2
Calculus 2
05/01/16
Find the volume of the solid obtained by rotating the shaded region about the y-axis
x=4
y=3-((x^2)/16)
Calculus 2
05/01/16
Find a polar equation for the curve represented by the given Cartesian equation.
2x+3y=6
A) 2sinθ+3cosθ=6r
B) r(2cosθ+3sinθ)=6
C) r(2sinθ+3cosθ)=6
D) 2cosθ+3sinθ=6r
Calculus 2
05/01/16
Determine if the given function y=f(x) is a solution of the accompanying differential equation.
y=ex+4xex, y'-y=4ex
Calculus 2
04/30/16
Assist with answers and working out.
a) Show that 1/r(r+1) =1/r - 1/r+1
hence, show that (the sum from r=1 to n) ∑ 1/r(r+!) = 1 - 1/n+1
deduce that Sn the sum to infinity, if it exists.
b) The...
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Calculus 2
04/29/16
help with this math question
A series has sum Sn =n(2n-1)
i) find, in terms of n, the nth term of the series.
ii) Hence, show that the series is an AP
c. Find an expression for the sum to infinity of the Geometric...
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Calculus 2
04/23/16
the water from a fire hose follows a path described by y = 2.0+ 0.9x - 0.3x^2 (units are in meters).
if v sub x is constant at 10 m/s find the resultant velocity at point (3.0,2.0) first question is what is the magnitude of the velocity?
03/18/16
Given the vectors below, carry out the operation.
Given the vectors below, carry out the operation.
u=(4, -2)
v=(-4, 6 )
2u+3v
03/18/16
Plot the curve below and describe the picture in words.
Plot the curve below and describe the picture in words.
r=3 sin4θ
03/18/16
What test would you use to determine whether the series below converges or diverges?
∑_(k=1)^∞ 1/k^(1+n) , n>0
03/18/16
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
x=0
y=0
y=−2x+2
03/18/16
Find the domain and the range of the function below.
Find the domain and the range of the function below.
g(y)=1/(y−2)
03/17/16
Find a) the angle between u and v, b) projv u and c) scalv u. Recall that a ? b = |a||b| cos ?.
Find a) the angle between u and v, b) projv u and c) scalv u. Recall that a ? b = |a||b| cos θ.
u=-3i+4k
v=-4i+j+5k
03/17/16
The Cosine function is a Taylor series. Expand the series to 4 terms and use the result to approximate Cos (2p). How does the approximation compare to the actua
The Cosine function is a Taylor series. Expand the series to 4 terms and use the result to approximate Cos (2π). How does the approximation compare to the actual result? What would you need to get...
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03/17/16
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
Using the disk method, find the volume of the solid generated by revolving about the x-axis the area bounded by the curves below.
x=0
y=0
y=-2+2
03/17/16
Calculate the area bounded by two curves below for x > 0.
Calculate the area bounded by two curves below for x > 0.
y=3xy=x^2
03/15/16
Find the line integral below.
Find the line integral below.
∫_c^ ¦(x−y+2z)ds where C is the circle r(t)=(1, 3 cost, 3 sin t) for 0≤t<2pi.
03/15/16
Compute the curl of the vector field below.
Compute the curl of the vector field below.
F=(X^2-Z^2, 1, 2XZ)
03/15/16
Find the divergence of the vector field below.
Find the divergence of the vector field below.
f =(X^2 YZ, -XY^2 Z, -XYZ^2)
03/15/16
Find the gradient field of the potential function below.
Find the gradient field of the potential function below.
φ(x,y)=x^3+y+100
Calculus 2 Washer Method
03/15/16
Find the volume of the solid formed by rotating the region enclosed by y=e^2x+4,y=0,x=0,x=0.1 about the x-axis.
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