Problem Set 9 Solution

9 since t is supposed to take 0 5 to 4 1 it must take

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Unformatted text preview: by the planes y = ±1, x = y 2 , z = 0 and x + z = 1. So the other five ways to write this region are: �� � �� √ �� 1 1 0 � �� 1 0 1−x 0 0 � f (x, y, z ) dz dy dx √ −x 0 � 1−x x �� �� �� √ −x 1−y 2 � x √ −x �� √ 1−z x 0 1 √ f (x, y, z ) dy dz � dx � f (x, y, z ) dy dx dz 1−z �� � � � f (x, y, z ) dx dz −1 � 0 1 0 �� √ √ dy y2 1−z �� 1−z � � f (x, y, z ) dx dy dz. 1−z y2 8. T is a linear transformation; therefore it takes straight lines to strai...
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This note was uploaded on 11/23/2013 for the course MATH 18.022 taught by Professor Hartleyrogers during the Fall '06 term at MIT.

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