exam3sol_s07

# exam3sol_s07 - MATH 2400 CALCULUS 3 MIDTERM 3 I have...

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Unformatted text preview: MATH 2400: CALCULUS 3 April 18, 2007 MIDTERM 3 I have neither given nor received aid on this exam. Name: 001 E. Kim . . . . . . . . . . . . . . . . (9am) 002 E. Angel . . . . . . . . . . . . .(10am) 003 I. Mishev . . . . . . . . . . . . (11am) 004 M. Daniel . . . . . . . . . . . (12am) 005 A. Gorokhovsky . . . . . . (1pm) If you have a question raise your hand and remain seated. In order to receive full credit your answer must be complete , legible and correct . Show all of your work, and give adequate explanations. DO NOT WRITE IN THIS BOX! Problem Points Score 1 14 pts 2 12 pts 3 14 pts 4 12 pts 5 12 pts 6 12 pts 7 24 pts TOTAL 100 pts 1. (14 pt) Compute Z 1 Z √ 1- x 2 ( x 2 + y 2 ) dy dx Convert to polar: Z 1 Z √ 1- x 2 ( x 2 + y 2 ) dy dx = Z π 2 Z 1 r 2 r dr dθ = π 8 2. (12 pt) Find the volume of the solid that lies inside the sphere ρ = 3 and above the cone r = z ( φ = π 4 )....
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exam3sol_s07 - MATH 2400 CALCULUS 3 MIDTERM 3 I have...

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