M408L_REVIEW01

# M408L_REVIEW01 - hyun(hh7953 – Review1 – gogolev...

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Unformatted text preview: hyun (hh7953) – Review1 – gogolev – (57440) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Estimate the area under the graph of f ( x ) = 19- x 2 on [0 , 4] by dividing [0 , 4] into four equal subintervals and using right endpoints as sam- ple points. 1. area ≈ 50 2. area ≈ 47 3. area ≈ 49 4. area ≈ 48 5. area ≈ 46 002 10.0 points Determine g ′ ( x ) when g ( x ) = integraldisplay 4 x 2 t 2 tan t dt . 1. g ′ ( x ) = 4 x sec 2 x 2. g ′ ( x ) = 2 x 2 tan x 3. g ′ ( x ) =- 2 x 2 tan x 4. g ′ ( x ) =- 2 x 2 sec x 5. g ′ ( x ) =- 4 x sec 2 x 6. g ′ ( x ) =- 4 x sec x tan x 7. g ′ ( x ) = 4 x sec x tan x 8. g ′ ( x ) = 2 x 2 sec x 003 10.0 points Determine the integral I = integraldisplay t 2 sin ( 4- t 3 ) dt . 1. I = cos(4- t 3 ) + C 2. I =- sin(4- t 3 ) + C 3. I =- 1 3 cos(4- t 3 ) + C 4. I = 3 sin(4- t 3 ) + C 5. I =- 3 sin(4- t 3 ) + C 6. I = 1 3 cos(4- t 3 ) + C 004 10.0 points Find the value of y ( π ) when dy dx = 8 e − 2 x- 2 sin x, y (0) = 1 . 1. y ( π ) = 4 e − 2 π + 1 2. y ( π ) = 8 e − π + 3 3. y ( π ) = 8 e − π- 3 4. y ( π ) =- 4 e − 2 π- 1 5. y ( π ) =- 8 e − π- 3 6. y (...
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## This note was uploaded on 01/19/2010 for the course M 57440 taught by Professor Gogolev during the Fall '09 term at University of Texas.

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M408L_REVIEW01 - hyun(hh7953 – Review1 – gogolev...

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