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The area of a circular sunspot is growing at a rate of700km 2 /sec. (a) How fast is the radius growing at the instant when

The area of a circular sunspot is growing at a rate of700km2/sec.

(a) How fast is the radius growing at the instant when it equals6,000kilometers? HINT [See Example 1.] (Round your answer to three decimal places.)

km/s

(b) How fast is the radius growing at the instant when the sunspot has an area of810,000square kilometers? HINT [Use the area formula to determine the radius at that instant.] (Round your answer to four decimal places.)

km/s

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