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ion (G): Differentiation as a rate measurement. Suppose that the radius r and area A = 㥠of a circle are differentiable functions of t.write an equationdrthat relates at todt¡that relates to .dt |
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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 = 4r2 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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