Assignment 3 - mol/L. If the cell is poisoned when the...

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Professor Jason Levy, University of Ottawa, MAT 1332C, Winter 2011 Assignment 3, due Wednesday February 2, 8:30am at the beginning of class. Late assignments will not be accepted; nor will unstapled assignments. Student Number DGD section By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. Signature Student Name 1. For each of the following improper integrals, determine whether it converges, and evaluate it if if does. (a) Z 0 t 2 4 + t 6 dt (b) Z 1 e - t sin(2 t ) dt 2. The concentration of toxin in a cell is increasing at a rate of 50 e - 2 t μ mol/L/s, starting from a concentration of 10
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Unformatted text preview: mol/L. If the cell is poisoned when the con-centration exceeds 30 mol/L, will the cell survive? Hint: Express the limiting concentration as an improper integral. 3. Find the solution to the autonomous dierential equation dy dt = y 2 + 1 . satisfying the intial condition y (0) = 1. 4. Solve the separable dierential equation dy dt = e t + 2 t y 2 5. Find the solution to the autonomous dierential equation dy dt = 0 . 5(100-y ) . satisfying the intial condition y (0) = 20. What is the limiting value of y as t ? 1...
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