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1. Suppose $5000 is invested at an annual interest rate of 10%. Compute the balance after 10 years if interest is compounded(a) annually, (b) quarterly, (c) monthly, (d) continuously
2. How much should be invested today at 7% compounded quarterly so that it will be worth $5000 in five years?
3. Find all second derivatives ∂2z , ∂2z , ∂2z , ∂2z ∂x2 ∂y∂x ∂x∂y ∂y2
4. Calculate z = f (x, y) = 2x2 - 2xy - 16x + 5y2 + 2y + 34
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