I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows: y=x y=7 y=x2/28 The domain is [0,14] I...
I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows: y=x y=7 y=x2/28 The domain is [0,14] I...
We have a parabola whose formula is y=5sin^2x and is bounded at the top by the line y=5. It is shaded under the y=5 line between x=pi/2 and x=3pi/2. How do I find the area of this shaded region? I...
Trying to integrate and am having trouble with the indices. Was originally x ¹x.
As in, which one should i label as f(x) and which is g(x)? How should i think when i see a problem given?
triple integrals
triple integrals
I've been stuck on this question for a while. I've tried integration by parts but that doesn't help so I thought substitution would help but I don't know what to substitute it for.
Using the substitution x=(√3)tany find the exact value of 1∫3 1/√(3+x^2) dx expressing your answer as a single logarithm in terms of y
When I substitute u=x^2-5x+25 I get du=2x-5 dx. That gets me close to x dx. I would normally just pull out 1/2, but I'm confused how to deal with the -5. it looks like I should get a ln...
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Page 2 Solutions to the Practice Problems dealing with Trapezoidal Rule, Simpson's Rule, and Integration and u-substitutions.
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Solutions to Page 1 of the Practice Problems dealing with Trapezoidal Rule, Simpson's Rule, and Integration and u-substitutions...
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Here are the solutions to Page 2 of my u-substitutions document.
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Here are the solutions to page 1 of my U-Substitutions document.
The slope of the curve has to be found by the dy/dx= 6/x^2. It will most likely end up as a y-y1=m(x-x1) formula at the end.
find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^7 about the y axis
∫(secθ⁄cosθ) dθ
At what value of x is f(x) a minimum? I know f'(x) = e^((x^2-3x)^2) , but I don't know how to continue. Thanks!
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This is a calculus problem that arose in an AP Physics class. The student said that his teacher didn't know how to integrate a particular...
∫dx/(c-k/x)1/2
Every month, a particular interest-bearing account earns 0.2 percent interest on the average balance for that month. The function B(t) =7.5t^2 -300t +5000 represents one investor's balance...