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exam-2-111028

# exam-2-111028 - MATH 20508 Exam#2 Name For full credit show...

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MATH 205–08 Exam #2 Name: For full credit show all of your work (legibly!), unless otherwise speciﬁed. Answers may include all arithmetic operations, trigonometric functions, inverse trigonometric functions, and natural log- arithms. Algebraic simpliﬁcation of answers is unnecessary. The problems are in no particular order, and it is suggested that you look at all of them before beginning to answer any. 1. (8 points) The cissoid of Diocles is a curve satisfying the equation x ( x 2 + y 2 ) = 4 y 2 . (a) (6 points) Find a formula for dy dx on this curve. (b) (2 points) Find the equation of the tangent line to the curve at (2 , - 2). 2. (6 points) Calculate d dx cos( x 2 e x ). 1 2 3 4 5 6 7 (8) Σ Page 1 of 4 1933 Kartika 6

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MATH 205–08 Exam #2 3. (8 points) Amy is standing motionless 50 meters east of a north-south road with a radar gun, while Bob, who is 120 meters to the north, is driving south. The radar gun reports how quickly the distance between Amy and Bob is changing (which may not be Bob’s actual
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exam-2-111028 - MATH 20508 Exam#2 Name For full credit show...

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