427 Answered Questions for the topic Calculus 2

Calculus 2

03/28/15

Find the inflection point(s).
f(x)=10—12x+6x2—x3
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Calculus 2

03/28/15

Find all possible local extrema using the first derivative test
f'(x)=-12+12x-3x2    
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Calculus 2

03/23/15

Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing.
f(x)=10–12x+6x2–x3
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Calculus 2

03/23/15

Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing.
f(x)=x3—3x+1
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Calculus 2

03/23/15

find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.
f(x)=3x4—4x3+5
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Calculus 2

03/23/15

find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.
f(x)= x3+4x—5
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Calculus 2

03/23/15

find (A) f'(x), (B) the partition numbers for f' , and (C) the critical numbers of f.
             6 f(x)=———          x+2
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Calculus 2

03/23/15

Find (A) f'(x), (B) the partition numbers for f' , and (C) the critical numbers of f.
f(x) = x3—12x+8
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03/21/15

Volume and Surface Area of Gabriel's Horn
Could you fill Gabriel's Horn with paint? How much paint would it take? Could you paint the outside of Gabriel's Horn?
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Calculus 2

03/18/15

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x2e-x/2, [-1, 6]
In need to know the absolute minimum and maximum. 
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Calculus 2

03/13/15

The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any method. y = -x2 + 11x - 30, y = 0;
Im not sure if this is the correct integral. integral 2pi [ -x^4/4 + 11x^3/33 -15x^2] b=6, a=5 on the integral. If so, I don't know how to get the final answer. I somehow got (-39121/132)*2pi. My... more
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Calculus 2

03/10/15

Find Y' when Y= See description for full question
Find                   (3x+4)2 Y' when Y = ———                    x2+1
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Calculus 2

03/10/15

Find F'(1) when F(x)= See description for full question
Find   F'(1) when f(x)=                           3√(x2—2x+7)
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Calculus 2

03/10/15

Find d/dx... see description for full question
Find   d— [xe2x] dx
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Calculus 2 Volume Solid

03/07/15

Find the volume of the solid
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x, y=0, x=2, and x=4 about the line x=1 
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Calculus 2 Volume Solid

03/07/15

Find the volume of the solid
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=√(x-1), y=0, x=2 and x=5 about the x-axis 
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Calculus 2 Volume Solid

03/07/15

Find the volume of the solid
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=1/x, y=0, x=1 and x=4 about the x-axis
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Calculus 2 Volume Curves Solid

03/01/15

What is the volume
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x2 and y=4 about the line y=4
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Calculus 2 Volume Region Curves

03/01/15

what is the volume
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=sec(x), y=1, x=-1 and x=1 about the x-axis 
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Calculus 2 Volume X Axis Bounded

03/01/15

Find the volume
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=√(x-1), y=0, x=2, and x=5 about the x-axis.   What is the volume?
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Calculus 2 Volume X Axis Curves

03/01/15

Find the volume
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=1/x, y=0, x=1, and x=4 about the x-axis 
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03/01/15

Find the average value of the function
Find the average value of the function f(t)=-5te(-t^2) on the interval [0,5].favg=?
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Calculus 2 Time Velocity Average

02/27/15

Find the car's average velocity
A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t)=2t1/2+5 Find the car's average velocity (in m/s) between t = 2 and t = 6.
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Calculus 2

02/26/15

Integrating using trig. sub. Steps!
let x=4sqrt(5)sint, integrate sqrt((16-5x^2)).
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Calculus 2

02/22/15

Find f'(x) and simplify.
f(x) =  1                          —x3   —  5x2 + 1           3 
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