Math114F06

# Math114F06 - Final Exam Math 114 Name Instructor Teaching...

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Final Exam - December 14, 2006 Math 114 Name: Instructor: Teaching Assistant: Recitation Day/Time: There are nine questions on this examination. Some have multiple parts. It is important to show your work and justify each statement . You will receive partial credit for substantial progress towards the answers. You will lose partial credit for answers that are not justiﬁed. Please write legibly. No calculators, books, or notes may be used except for one two-sided 8.5”x11” sheet of notes. The time limit for this exam is 120 minutes. Good luck! Question Points 1 /10 2 /10 3 /10 4 /10 5 /10 6 /10 7 /10 8 /10 9 /10 TOTAL /90

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1. Solve the initial value problem: dy dx = - y sin x, y (0) = 4 .
2. Solve the following diﬀerential equation: 2 y 0 + 4 x y = ± 2 cos x x ! 2 .

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3. (a) A particle is traveling upwards along the y -axis. It starts at the origin at time t = 0 with speed equal to 2 units per second. At each time t , the magnitude of its acceleration is equal to its distance from the origin, and the direction of the acceleration is along the
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Math114F06 - Final Exam Math 114 Name Instructor Teaching...

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