exam2_wi04

# exam2_wi04 - ﬁve seconds using the Trapezoidal Rule(Note...

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Name: Section Number: TA Name: Section Time: Math 20B. Midterm Exam 2 February 25, 2004 You may use one page of notes, but no other assistance on this exam. Read each question carefully, answer each question completely, and show all of your work. Evaluate integrals using methods discussed in the course and show your calculations. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clariﬁcation. 1. (4 points) A radar gun was used to record the speed of a runner during the ﬁrst ﬁve seconds of a race; the data is recorded in the table below. Estimate the distance the runner traveled during the

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Unformatted text preview: ﬁve seconds using the Trapezoidal Rule. (Note: You need not simplify.) Time (sec) 1 2 3 4 5 Velocity (meters/sec) 7.3 9.7 10.5 10.7 10.8 # Score 1 2 3 4 5 Σ 2. (4 points) Evaluate the indeﬁnite integral Z e i 5 x cos(3 x ) dx. You may leave the result in exponential form. 3. (8 points) Evaluate the improper integral Z 3 x 2 √ 9-x 2 dx or show that it diverges. 4. (4 points) Evaluate the indeﬁnite integral Z ln( x ) √ x dx. 5. (8 points) Evaluate the deﬁnite integral Z 1 x 3-6 x + 1 x 2-x-6 dx....
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## This note was uploaded on 04/29/2010 for the course MATH MATH 20B taught by Professor Takeda during the Spring '07 term at UCSD.

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exam2_wi04 - ﬁve seconds using the Trapezoidal Rule(Note...

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