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Chapter 2: Q 40 (page 238)

If $A = {蟺谤}^{2}$ ,and A and r are both functions of time t,find $\frac{d A}{d t}$

Short Answer

Expert verified

$\frac{d A}{d t} = (2 蟺谤) \frac{d r}{d t}$

Step by step solution

Step 1:Given information

The given expression is $A = {蟺谤}^{2}$

Step 2:Simplification

$A = {蟺谤}^{2}$

Step 2:Simplification

$A = {蟺谤}^{2}$

Differentiating w.r.t t

width="160" height="41" role="math">dAdt=dAdr脳drdt...(1)

width="140" height="41" role="math">鈬�dAdr=2蟺r...(2)

Now,from equation $(1)$ and $(2)$

width="126" height="41" role="math">鈬�dAdt=2蟺谤drdt

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If A=蟺谤2,and A and r are both functions of time t,finddAdt

Short Answer

Step by step solution

Step 1:Given information

Step 2:Simplification

Step 2:Simplification

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If $A = {蟺谤}^{2}$ ,and A and r are both functions of time t,find $\frac{d A}{d t}$