1.

ion (G): Differentiation as a rate measurement. Suppose that the radius r and area A = ㎡ of a circle are differentiable functions of t.write an equationdrthat relates at todt·that relates to .dt

Answer»

Here A = πr^2 Differentiating both sides w.r.t x dA/dr = 2πr Now dA/dr = (dA/dt)/(dr/dt) = 2πr So dA/dt = 2πr (dr/dt)

Suppose that the radius r and surface area S = 4r2 of a sphere are differentiable functions of t. Write anequation that relates dtds to dtdr .

H-1. If function is given y = 1 – x2 then find out maximum value of this function.

. If function is given y = 1 – x2 then find out maximum value of this function.

If function is given y = 1 – x2 then find out maximum value of this function



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