Consider the system dx dt =3y

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

Consider the system dxdt=3y,dydt=−2x\frac{dx}{dt}=3y, \qquad \frac{dy}{dt}=-2x with initial conditions x(0)=4x(0)=4 and y(0)=1y(0)=1. What is the value of d2xdt2\dfrac{d^{2}x}{dt^{2}} at t=0t=0? (a) −8-8 (b) 2424 (c) −24-24 (d) −6-6

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