4. If a 32 foot chain is hanging (balanced) on a metal peg on a wall.At time t=0, with the chain initially at rest and hanging two feet below theequilibrium position as shown, the chain starts to slip. The position X atd² Xtime t can be explained by the DE6432X=0 with initial conditionsdt²that X(0) = 2 and X'(0) = 0.(a) Show all work to solve the DE and find the function X(t) that describes theposition of the chain below the equilibrium point.(b) Find the speed at which the chain is falling when it first leaves the peg(i.e., when X-16). Show work/calculator commands. You my use the nspire for anyalgebraic steps.equilibrium point

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Answered: 4. If a 32 foot chain is hanging…

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