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Course: M 16, Fall 2009

School: Berkeley

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MATH 16B, SPRING 2004 PRACTICE FOR THE FINAL EXAM There are more questions listed here than you will actually see on the nal. The general distribution of the questions accurately reects the topics to be covered. 1. Find the point (x, y, z) which maximizes the function F (x, y, z) = 3x + 5y + z x2 y 2 z 2 subject to the constraint g(x, y, z) = 6 x y z = 0. 2. Let R be the region bounded by 0 x 1 and ex y...

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16B, MATH SPRING 2004 PRACTICE FOR THE FINAL EXAM There are more questions listed here than you will actually see on the nal. The general distribution of the questions accurately reects the topics to be covered. 1. Find the point ...

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Berkeley - M - 16
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Section 9.6: Improper integralsWe have considered only integrals of the form a f (x)dx where a b are real numbers and f is a function which is dened and continuous on the interval [a, b] := {x | a x b}. Sometimes, it makes sense to consider integ
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