## 1. Use definition (2), Sec. 15, of limit to prove that (a) lim Rez= Rezo; (b) lim z=zo

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# Calculus

## Use calculus to show that the supply function Q = Ap

## Draw the isoclines with their direction markers and sketch several solution curves to the differential equation dy/dx = 2x+y, including the curve satisfying the initial condition y(0) = 0

## Find the exact length of the curve .

Use calculus to show that the supply function Q = Aphas constant elasticity. EXPERT ANSWER The constant elasticity demand function is Q = Ap, where A is a positive constant, is the constantelasticity of demand, the price is raised to thepower, and we are holding income and otherfactors constant. Differentiating this expressionwith respect to price, …

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Draw the isoclines with their direction markers and sketch several solution curves to the differential equation dy/dx = 2x+y, including the curve satisfying the initial condition y(0) = 0 EXPERT ANSWER

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