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Unformatted text preview: M408C Practice problems for Exam #3 Directions . Circle the letter of the correct answer (only one) for each problem. 1) Water flows into and out of a tank. The rate of change of volume V prime ( t ) of water in the tank is recorded in the table below. Find an estimate for the net change in volume between t = 0 and t = 4 using a Riemann sum with four equal subintervals and left endpoints. (A) 9gal. (B) 12gal. (C) 7gal. (D) 8gal. (E) 5gal. in out V(t) V’(t) [gal/hr] t [hr] 1 2 3 4 2 4 6-1 2) Let f ( x ) and g ( x ) be continuous and satisfy f ( x ) ≥ g ( x ) > 0 for all x . Which of the following statements is false ? (A) integraldisplay 2 1 f ( x ) dx ≥ integraldisplay 2 1 g ( x ) dx . (B) integraldisplay 2 1 g ( x ) dx + integraldisplay- 5 2 g ( x ) dx =- integraldisplay 1- 5 g ( x ) dx . (C) integraldisplay 4 3 g ( x ) dx ≥ integraldisplay 4 2 g ( x ) dx . (D) integraldisplay- 3 f ( x ) dx < 0....
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This note was uploaded on 09/03/2008 for the course M 408c taught by Professor Mcadam during the Spring '06 term at University of Texas at Austin.
- Spring '06
- Rate Of Change