Mathematics

Mathematics

Problem

Let x(t)=et+tx(t)=e^{t}+t and y(t)=ety(t)=e^{t} for all real tt. Find the value of d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=0t=0. a) −18-\dfrac{1}{8} b) 14\dfrac{1}{4} c) 18\dfrac{1}{8} d) 12\dfrac{1}{2}

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