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Volume - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Volume, Graph, Axis, Draw, Volume, Curves, Region Bounded

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
ranga 🇮🇳

3.3

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Name Quiz 7
Math 106, section B March 22, 2004
1. The graph of y2=x2+x5has a closed loop to the left of the x-axis. (I will draw it on the blackboard.
Yell at me if I haven’t done this.) Find the volume obtained by revolving the top half of this loop around
the x-axis.
2. The curves y= cos xand y= sin xintersect when x=π/4. Find the volume obtained by revolving
around the x-axis the region bounded on the left by the y-axis, above by y= cos xand below by y= sinx.

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Name Quiz 7 Math 106, section B March 22, 2004

  1. The graph of y^2 = x^2 + x^5 has a closed loop to the left of the x-axis. (I will draw it on the blackboard. Yell at me if I haven’t done this.) Find the volume obtained by revolving the top half of this loop around the x-axis.
  2. The curves y = cos x and y = sin x intersect when x = π/4. Find the volume obtained by revolving around the x-axis the region bounded on the left by the y-axis, above by y = cos x and below by y = sin x.