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...Spring applied calculus final exam brief solutions howard university math department instructions each problem points total time hours you must provide step by parti doallproblems find the equation of tangent line to graph f x at point where use chain rule nd derivative rst soln get y slope is given cost producing q units a certain commodity c what produce b marginal analysis estimate th unit need because want change during so start that period price p and for revenue function r prot average level production minimized solution qp when equals we set solving this cannot be negative take only positive root dollars are deposited in an account percent annual interest compounded continuously let t amount after years rate increasing end how long will it double equal here rt pe e rest as except don know weget ln indenite integral z dx lnx substitution u then du becomes partii do any problems following limits lim divide above below everything goes factoring can cancel notbefore limit implicit d...