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Unformatted text preview: 1. (3 marks each; total 9 marks) Answer each question in the space provided. You MUST show your work. a) Find the cardiac output over the time interval [0, 15] if the dye dilution method is used with 10 mg of dye and the dye concentration, in mg/L, is modeled by ) 15 ( 2 1 ) ( t t t c = , where t is measured in seconds. WAS ON OUR FIRST MIDTERM, NOT ON OUR SECOND MIDTERM b) A swimming pool is 10 ft wide and 36 ft long and its bottom is an inclined plane, the shallow end having a depth of 2 ft and the deep end, 12 ft. If the pool is full of water, set up the formula for the hydrostatic force on the wall of the shallow end. Note: Only SET UP the integral; you do NOT have to evaluate it. (i.e. All you have to do is to find a , b , ) ( y d , and ) ( y w ) . Don’t forget to state where you are defining = y to be. WAS ON OUR FIRST MIDTERM, NOT ON OUR SECOND MIDTERM c) If t e x t 2 = and 3 ln t t y = , find 2 2 dx y d . Hint: The formula is dt dx dx dy dt d dx y d = 2 2 Calculus II Midterm 2...
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This note was uploaded on 10/02/2011 for the course MATH 1010 taught by Professor Mihai during the Spring '08 term at UOIT.
 Spring '08
 Mihai
 Calculus

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