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Region Bounded - Calculus - Quiz, Exercises of Calculus

Aliah UniversityCalculus

This is class quiz. Its from Calculus class. Some key points are: Region Bounded, Curve, Line, Computing, Actual Integral, Definite Integral, Area

Typology: Exercises

2012/2013

Uploaded on 03/16/2013

ranga
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MATH 106A - CALCULUS II
FALL 2005
QUIZ 3
NAME:
Show ALL your work CAREFULLY.
(a) Sketch the region bounded by the curve y+1=x2and the line y=x+1.
0
(b) Set up (without computing the actual integral) the definite integral repre-
senting the volume of the solid of revolution formed when the region in (a) is
revolved around the line y=−1.
(c) Find the area of the region in (a). [first set it up and then evaluate]
Date: September 26, 2005.
1

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MATH 106A - CALCULUS II

FALL 2005

QUIZ 3

NAME:

Show ALL your work CAREFULLY.

(a) Sketch the region bounded by the curve y + 1 = x^2 and the line y = x + 1.

(b) Set up (without computing the actual integral) the definite integral repre- senting the volume of the solid of revolution formed when the region in (a) is revolved around the line y = −1.

(c) Find the area of the region in (a). [first set it up and then evaluate]

Date: September 26, 2005. 1