exam2 - during the Frst six seconds of a race; the data is...

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Name: Section Number: TA Name: Section Time: Math 20B. Midterm Exam 2 March 1, 2006 Turn of and put away your cell phone. No calculators or any other 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. (6 points) Evaluate Z e i 2 x cos( x ) dx . You may leave the result in exponential form. # Score 1 2 3 4 5 6 Σ
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2. (6 points) Evaluate Z 1 ( x 2 + 16) 2 dx .
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3. (8 points) Evaluate Z 2 x 4 + 3 x 2 - 4 x 3 + x dx .
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4. (6 points) A radar gun was used to record the speed (in meters per second) of a runner
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Unformatted text preview: during the Frst six seconds of a race; the data is recorded in the table below. Estimate the distance the runner traveled during the six seconds using the Trapezoid Rule. (Note: You need not simplify the resulting expression.) Time (sec) 2 4 6 Velocity (meters/sec) 8.3 9.3 10.3 5. (a) (2 points) Z e-x dx converges. Find its value. (b) (4 points) By applying the Comparison Theorem, determine whether Z e cos( x ) e-x dx converges. Be sure to justify your conclusion. 6. (6 points) Determine whether the sequence n 2 n 2 5 n 2 +2 n +1 o converges. If it converges, Fnd its limit....
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This note was uploaded on 04/28/2008 for the course MATH MATH 20B taught by Professor Takeda during the Winter '07 term at UCSD.

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exam2 - during the Frst six seconds of a race; the data is...

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