Math241PTA1 - -10-5 5 10-10-5 5 10 (b) The range is (0 ,...

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Math 241 Practice Test 1 ANSWERS Linda Patton’s Course 1. (a) will be a cone along the y-axis. y x z (b) will be an ellipsoid. y x z 2. (a) ( 8 , 5 π 3 , π 4 ), (b) ( 5 3 2 , π 2 , 5 2 ). 3. ρ = 2 a cos φ 4. The graph looks like -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 0 2 4 6
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and the level curves are -1 -0.5 0 0.5 1 -1 -0.5 0 0.5 1 5. (a) The level curve with k = 25 is the set of points in the plane where the temperature is 25. The level curves look like
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Unformatted text preview: -10-5 5 10-10-5 5 10 (b) The range is (0 , 50]. 6. (a) proof, like on homework and in class. (b) Yes, it equals-2 5 because the numerator and denominator are continuous functions and the denominator is nonzero at (1 ,-2)....
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Math241PTA1 - -10-5 5 10-10-5 5 10 (b) The range is (0 ,...

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