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4.2 Related Rates (#differentiation) Solve the following problems using the related rates method. (Adapted from Stewart) (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If the ice melts at a rate of 25 cm³/min how fast is the thickness of the ice decreasing when it is 4 cm thick? 4 (b) The altitude of an isosceles triangle is decreasing at a rate of 3 cm/min while its perimeter is increasing at a rate of 2 cm/min. How fast is each of the sides changing when the sides are a = 4 cm, b = 4 cm, and c = 6 cm?

4.2 Related Rates (#differentiation) Solve the following problems using the related rates method. (Adapted from Stewart) (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If the ice melts at a rate of 25 cm³/min how fast is the thickness of the ice decreasing when it is 4 cm thick? 4 (b) The altitude of an isosceles triangle is decreasing at a rate of 3 cm/min while its perimeter is increasing at a rate of 2 cm/min. How fast is each of the sides changing when the sides are a = 4 cm, b = 4 cm, and c = 6 cm?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.2 Related Rates (#differentiation) Solve the following problems using the related rates method. (Adapted from Stewart) (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If the ice melts at a rate of 25 cm³/min how fast is the thickness of the ice decreasing when it is 4 cm thick? 4 (b) The altitude of an isosceles triangle is decreasing at a rate of 3 cm/min while its perimeter is increasing at a rate of 2 cm/min. How fast is each of the sides changing when the sides are a = 4 cm, b = 4 cm, and c = 6 cm?
Transcribed Image Text:4.2 Related Rates (#differentiation) Solve the following problems using the related rates method. (Adapted from Stewart) (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If the ice melts at a rate of 25 cm³/min how fast is the thickness of the ice decreasing when it is 4 cm thick? 4 (b) The altitude of an isosceles triangle is decreasing at a rate of 3 cm/min while its perimeter is increasing at a rate of 2 cm/min. How fast is each of the sides changing when the sides are a = 4 cm, b = 4 cm, and c = 6 cm?
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