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Calc B WS #3.5

# Calc B WS #3.5 - b and the two sides of equal length each...

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Calculus B Workshop Activity #3.5 March 19, 2008 Names:_______________________________________________________________________ This Workshop covering Related Rates problems will not count as its own grade. It you complete it and turn it in, the score from these problems will be added to Workshop #3 as extra credit. You are under no obligation to complete these however. It is totally voluntary. 1) The radius of a circle is increasing at a rate of 3 centimeters per minute. How fast is the circumference of the circle changing when the radius is 6 centimeters?

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2) All edges of a perfect cube are expanding at a rate of 3 centimeters per second. How fast is the surface area of the cube changing when each edge measures 10 centimeters? 3) The base of an isosceles triangle has a length of base
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Unformatted text preview: b and the two sides of equal length each measure 30 centimeters. If b is increasing at a rate of 3 centimeters per second, how fast is the area changing when the base measures 20 centimeters? 4) A construction worker pulls a 5 meter plank up the side of a building by means of a rope tied to one end of the plank. The worker pulls the rope at a rate of 0.15 meters per second. How fast is the lower end of the plank nearing the wall when it is 2.5 meters from the wall? 5) A baseball diamond has the shape of a square with sides 90 feet long. A player is running from second base to third base at a speed of 28 feet per second. At what rate is his distance from home plate changing when he is 30 feet from third base?...
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