224pracfinal

224pracfinal - MA 22400 Final Exam Practice Problems The...

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Unformatted text preview: MA 22400 Final Exam Practice Problems The Formula Page (available on the course web site) will be attached to the final exam. 1. Evaluate Z 2 x- x dx. A. ln | x | - 2 x + C B.- 2 x 2- 1 2 x 1 / 2 + C C. 2ln | x |- 2 x 3 / 2 3 + C D.- 2 x 2- 2 x 3 / 2 3 + C E. 2ln | x |- 1 2 x + C 2. Evaluate Z 1 (3 x- 1) 4 dx . A.- 12 (3 x- 1) 5 + C B.- 1 9(3 x- 1) 3 + C C. 1 (3 x- 1) 3 + C D.- 1 3(3 x- 1) 3 + C E.- 4 (3 x- 1) 5 + C 3. Evaluate Z e 3- 2 x dx. A.- 2 e 3- 2 x + C B.- 1 2 e 3- 2 x + C C. e 4- 2 x 4- 2 x + C D. 1 3 e 3- 2 x + C E. e 3- 2 x 3- 2 x + C 4. Find a function f whose tangent line has slope x 5- x 2 for each value of x and whose graph passes through the point (2,10). A. f ( x ) =- 1 3 (5- x 2 ) 3 / 2 B. f ( x ) = 2 3 (5- x 2 ) 3 / 2 + 28 3 C. f ( x ) = 1 3 (5- x 2 ) 3 / 2 + 29 3 D. f ( x ) =- 1 3 (5- x 2 ) 3 / 2 + 31 3 E. f ( x ) = 3 2 (5- x 2 ) 3 / 2 + 17 2 5. Evaluate Z x ln( x 2 ) dx . A. 1 2 x 2 ln x 2- 1 2 x 2 + C B. 1 2 x 2 ln x 2- 1 2 x + C C. 1 2 x 2 ln x 2- 1 6 x 3 + C D. x ln x 2 + 1 x + C E. 1 2 x 2 ln x- 1 2 x 2 + C 6. The area of the region bounded by the curves y = x 2 + 1 and y = 3 x + 5 is A. 125 6 B. 56 3 C. 27 2 D. 25 6 E. 32 3 7. Find the average value of f ( x ) = x 2 over the interval 1 x 4 . A. 17 2 B. 15 2 C. 21 D. 65 3 E. 7 8. A calculator manufacturer expects that x months from now consumers will be buying 1,000 calculators a month at a price of 20+3 x dollars per calculator. What is the average revenue the manufacturer can expect from the sale of calculators over the next 4 months? A. $8,000 B. $16,000 C. $24,000 D. $96,000 E. $6,500 9. If f ( x,y ) = ( xy + 1) 2- p y 2- x 2 , evaluate f (- 2 , 1)....
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224pracfinal - MA 22400 Final Exam Practice Problems The...

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