webwork/math172brown /hw_14_rel rates and logs/11 HW 14 Rel Rates and Logs: Prob

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webwork/math172brown /hw_14_rel rates and logs/11 HW 14 Rel Rates and Logs: Problem 11 PreviousProblem List Next (2 points) From Rogawski ET 2e section 3.11, exercise 3 The radius of a circular oil slick expands at a rate of 5 m/min. (a) How fast is the area of the oil slick increasing when the radius is 29 m? dA m2Imin (b) the radius is 0 at time I = 0, how fast is the area increasing after 4 mins? m2Imin Note: You can ean partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor 14 8

Explanation / Answer

A)

A = pi*r^2

da/dt = pi*(2)*(29)*(5)

= 290pi m²/ min

B)

After 4 minutes, the radius would be 5*4 =20 meter

da/dt = pi*2r*(dr/dt)

da/dt = pi*(2)*(20)*(5)

= 200pi m²/ min

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