141Bquiz1c - t is the time measured in hours. Use...

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1 MATH 141B QUIZ#1 Due: Tues Jan 22, 2008 Instructor: Dr. Fabbri Duration: 15 minutes [ 2 ] 1. Compute the defnite integral i π 0 x 2 cos x dx and circle the correct answer below. A) - 2 π , B) π , C) - π, D) 2 π E) none o± the above [ 2 ] 2. f ( x ) = x 5 ln x and f (1) = - 1 16 then fnd f ( 1 2 ) . [Method: Integrate f (using parts) and add C to get f . Use the initial condition to fnd the value o± C, and fnally evaluate f ( x ) at x = 1 2 . ] A) 0, B) 4 ln 2 - 1, C) ln(1 / 2) - 1 16 , D) ln 2 E) none o± the above

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2 [ 2 ] 3. Suppose that an oral dose of a drug is taken. From that time, the drug is assimilated in the body and excreted through the urine. The total amount of drug that has passed though the body in time T is given by i T 0 E ( t ) dt where E is the rate of excretion of the drug. A typical rate-of-excretion function is E ( t ) = te kt , where k > 0 and
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Unformatted text preview: t is the time measured in hours. Use integration by parts to nd a formula for I T E ( t ) dt . A) 1 k 2 (1-e kT ) B) 1 k 2 (1-ke kT ), C) 1 k 2 ( T-ke kT + 1) D) 1 k 2 [1-e kT ( kT + 1)] E) none listed [ 2 ] 4. Determine whether the improper integral i 3 1 + x dx is convergent or divergent, and circle the correct answer below. A) conv. to 0, B) conv. to 1, C) div to + , D) div to- , E) none listed 3 [ 2 ] 5. Determine whether the improper integral i sin x x dx is convergent or divergent, and circle the correct answer below. A) conv. to -2, B) conv. to 1, C) div to + , D) div to- , E) none listed...
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This note was uploaded on 03/30/2008 for the course MATH 141B taught by Professor Marcfabbri during the Spring '08 term at Pennsylvania State University, University Park.

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141Bquiz1c - t is the time measured in hours. Use...

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