Question

could someone help me out with 14? i tried it and I get that it uses chain rule and second derivative but I’m so lost please help

Answer 1

Answer:

d

Step-by-step explanation:

$\frac{d}{dt}$ (sinpt) = pcospt

$\frac{d}{dt}$(cospt) = - psinpt

Then

y = mcospt - nsinpt

$\frac{dy}{dt}$ = - mpsinpt - npcospt

$\frac{d^2y}{dt^2}$ = - mp²cospt + np²sinpt ← factor out - p² from each term

     = - p²(mcospt - nsinpt) ← this is y

     = - p²y