The formula for the area of a circle is A tr2, where r is the radius of the circle. Suppose a circle is expanding, meaning that both the area A and the radius r (in inches) are expanding. 100 dA dA dr a. Suppose r = 2 – (t+7)2 where t is time in seconds. Use the chain rule dt to find the rate at dr dt which the area is expanding. b. Use a. to find the rate at which the area is expanding at t = 4 s. Place appropriate units for your response.

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A: We will find the above mentioned as shown below

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A: derivative of p(t) is p'(t)=ddtelnt+4t2

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A: We use substitution method to solve integration to find out amount of ice melting in first 5 minutes

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A: Differential equations

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A: Given:r=eti+e-tj+2tk          0≤t≤lnt

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A: We will solve the following.

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Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

A: We use trigonometry formula of right angle triangle to solve the problem.

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A: Y(t) = 20 exp(rt)    We know that concentration doubles every 3.4 hours.  Y(t + 3.4) = 2 * Y(t)  Put…

Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

A: Z is the distance from kite to person. We use Pythagoras Theorem

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A: The objective is to solve .

Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

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