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# GHW11 - 5(5 pts Barrels of oil flow into and out of a...

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MATH 2413 GHW 11 Fall 2011 Due 11/21 in Lecture Work is to be done in a Blue book per the syllabus Section 5.3 The fundamental theorem of calculus. 1. (6 pts) Use Part 1 of the FTC to find the derivative of the function (a) (3pts) = ) ( x g x 1 0 dt t 2 7 + (b) (3 pts) y = 2 x dt t e e t t + 2. (5 pts) If = ) ( x f x 1 dt t 3 cos 2 π , find the exact value ) ( ' ' 2 1 f 3. (4 pts each) Evaluate the definite integral - give the exact value (a) 8 1 3 3 1 x x dx (b) 2 1 2 1 dx x x + 2 1 6 4 (c) 3 0 ( ) θθ θ 2 cos sec sec d (d) e 1 dy y 1 2 + y Section 5.4 Indefinite Integrals and the Net Change Theorem. 4. (4 pts each) Find the general indefinite integral (a) ( ) y e y 3 3 2 + dy (b) dx x x 2 2 2 1 4 ) 1 ( + +
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Unformatted text preview: + 5. (5 pts) Barrels of oil flow into and out of a storage tank. The daily rate of change of the volume of oil in the tank is given by . 108 72 27 3 ) ( 2 3 + − + − = t t t t V (a) What are the units of the function ? ) ( t V (b) What are the units of ∫ dt t V ) ( (c) Find the volume of oil in the tank after 4 days if there were 1000 barrels in the tank on day 0. 4 pt bonus problem. No partial credit, full credit will be given only if all work is shown and written with proper notation. Evaluate give the exact solution. ∫ 3 6 dx x x 2 cos 2 cos Page 1 of 1...
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