Mathematics

Mathematics

Problem

At time tt, a point (x,y)(x,y) satisfies the relation (xa)2+y225=1\left(\dfrac{x}{a}\right)^{2}+\dfrac{y^{2}}{25}=1, where the semi‐major axis length aa is itself changing with time. When a=10 cma=10\text{ cm}, x=3 cmx=3\text{ cm}, y=4 cmy=4\text{ cm}, dxdt=1.0 cm/s\dfrac{dx}{dt}=1.0\text{ cm/s}, and dadt=0.20 cm/s\dfrac{da}{dt}=0.20\text{ cm/s}, determine dydt\dfrac{dy}{dt} at that instant (include units).

Browse the problem library