9:41 142_Assignment #4_W... carried 1 0.070 compoundca conemabusty. 3. Determine whether each improper integral is convergent or divergent. And find the value of each that converges. (a) fr dx (b) 3 x(x)z dx (c) Ja re0.2x dx (d) So 3 2 dx 2 THE UNIVERSITY OF BRITISH COLUMBIA OKANAGAN MATH 142 - Calculus II 4. Suppose income from an endowment is generated at the annual rate of $42, 000 per year. Find the capital value of this endowment at an interest rate of 7.5% compounded continuously. 5. Find the general solution of each differential equation. dy = - (a) dx Vx2+1 (b) 5x2 - 5dy = 2e- dy _ 2+1 (c) dx xy2 (d) (y - 1)(ex + 1)dy = ex 6. Find the particular solution for each initial value problem. (a) dy = (y -3)2ex-5. y (5) = 8 (b) x2dy - yx3 = 0; y(1) = e7 O= 3 22 OOO 0= Dashboard Calendar To Do Notifications Inbox