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Unit  3 - Objective 3 Worksheet -
Related Rates

Complete the following questions. Use the back of this sheet if you need
more room.

1) The electric resistance of a certain resistor as a function of temperature
is given by R=4.0+.003T2, where R is a measured in ohms and T is
degree celcius. If the temperature is increasing at the rate of ,
find how fast the resistance changes when .

2) A firm found that its profit was p dollars for the production of x tons per
week of a product according to the function.

Determine the rate of change of profit if production is increasing such that
when x=4.0 tons/week.

3) The relation between the voltage V which produces a current I in a wire of
If the current increases at the rate of 0.02 A/s in a wire of 0.04 inch radius,
find the rate at which the voltage is increasing.(Hint: The radius of the wire
is a constant, substitute the value in first.)

4) A ladder is slipping down along a vertical wall. If the ladder is 10.0 ft long,
and the top of it is sliping at the constant rate of 10.0 ft/s, how fast is the
bottom of the ladder moving along the ground when the bottom is 6.0 ft from the wall?

5) A spherical ballon is filled with gas at a rate of .
Determine the rate at which the radius of the ballon is increasing when the
radius is 2 ft.

Unit 3 Outline

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