Alicia F.

asked • 04/14/24

Urgent Calculus Help! Disk Method, Shell Method, Washer Method, e.t.c.

Can anyone explain the calculus concepts of the disk method, the shell method, the washer method, and finding the area between two curves in more simplified terms?

Paul M.

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Lots of tutors can explain these methods...But not in answer to this question. This is reason for a tutoring session!!!
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04/14/24

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HIRDESHWAR S. answered • 04/21/24

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M.Sc. & Ph.D. in Mathematics. Experienc 40 years

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When a region bounded by a curve y=f(x) , y-axi, x-axis and straight line x=a,

Volume of the disc formed is given by the formula

V = Integral of( pi times y^2)dx from x =0 to x=a.


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HIRDESHWAR S.

If te region is bounded by two curves y = f(x) and y = g(x). Find the points of intersection of the two curves. consider a vertical strip of length f(x) - g(x) and width dx. Elementary vlume when the region is revolved about axis of x is delta V = pi (f-g)^2dx. We then integrate it w.r,t. x from the x1 to x2, where (x1,y1) and (x2,y2) are the ponts of intersection of the two curves. Result of the integral gives the required volume.
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04/21/24

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