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exam1_wi05

# exam1_wi05 - r = 5 sin(3 θ 3 A vehicle travels along a...

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Name: Section Number: TA Name: Section Time: Math 20B. Midterm Exam 1 January 26, 2005 Turn of and put away your cell phone. No calculators or any other electronic devices are allowed on this exam. You may use one page oF notes, but no books or other assistance on this exam. Read each question careFully, answer each question completely, and show all oF your work. Write your solutions clearly and legibly; no credit will be given For illegible solutions. IF any question is not clear, ask For clari±cation. 1. (4 points) Evaluate the following integrals. (a) Z x sin(3 x 2 ) dx (b) Z e 4 e 3 dx x (ln x ) 2 # Score 1 2 3 4 5 Σ

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2. (4 points) Find the area enclosed by one loop of the polar curve

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Unformatted text preview: r = 5 sin(3 θ ). 3. A vehicle travels along a line so that its velocity at time t is v ( t ) = 9-t 2 meters per second. (a) (2 points) Find the displacement (net distance traveled) of the vehicle from t = 0 to t = 4 seconds. (b) (4 points) Find the total distance traveled by the vehicle from t = 0 to t = 4 seconds. 4. (4 points) Find the fourth roots of-81 and express them in polar form. (Note that 81 = 3 4 .) 5. (4 points) A spherical water tank of radius A feet is Flled to a depth D feet. ±ind the volume of water in the tank. A D...
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exam1_wi05 - r = 5 sin(3 θ 3 A vehicle travels along a...

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