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A)Find the area bounded by the curve y=|x-1|, the axis and the lines x=7 and x=11 B)The rate of change of the value of an investment ,S, with respect to time, t>= 0, is given by ds/dt= 1000(r/10)^e^rt/100 Where r is the annual interest rate (assumed constant) and the principal of the investment S(0)=10 000 1. Find an expression for S(t), that is, the value of the investment at time t. 2. Verify that your expression for S(t) is correct by computing S'(t) 3. Explain why S(t) is continuous for t>=O 4. Determine by computing lim t ~ ○○( positive infinity) S(t) , what would happen to the value of the investment if t were to grow without bound. Intrepret the result. 5.How long would it take for the investment to be exactly 15 000.
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