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Ch4-6WS - Ms Waldron Ch 4.6 BC Calculus Related Rates...

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Ms. Waldron s. Waldron s. Waldron s. Waldron BC BC BC BC Calculus Calculus Calculus Calculus Ch 4.6 Ch 4.6 Related Rates Worksheet 1. The radius r and surface area S of a sphere are related by the equation S = 4 π r 2 . Write an equation that relates dS dt to dr dt . 2. When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm/sec. At what rate is the plate’s area increasing when the radius is 50 cm? 3. John flies a kite at a height of 300 ft, the wind carrying the kite horizontally away at a rate of 25 ft/sec. How fast must she let out the string when the kite is 500 ft away from her?
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4. A spherical balloon is inflated with helium at the rate of 100 π ft 3 / min . a) How fast is the balloon’s radius increasing at the instant the radius is
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