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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

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.

Page1 / 3

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online