A petrol car is parked 50 feet from a long warehouse (see figure). The revolving light on top of the car turns at a rate of 30 revolutions per minute. How fast is the light beam moving along the wall when the beam makes an angle of with the perpendicular from the light to the wall.
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Use the Product Rule to differentiate.
Use the Product Rule to differentiate.
Use implicit differentiation to find .
Use implicit differentiation to find .
Find by implicit differentiation given that .
Find by implicit differentiation given that .
A point is moving along the graph of the function such tha…
A point is moving along the graph of the function such that centimeters per second. Findwhen .
Evaluate for the equation at the given point . Round your…
Evaluate for the equation at the given point . Round your answer to two decimal places.
Use logarithmic differentiation to find .
Use logarithmic differentiation to find .
The radius, r, of a circle is decreasing at a rate of 2 cent…
The radius, r, of a circle is decreasing at a rate of 2 centimeters per minute. Find the rate of change of area, A, when the radius is 3.
Assume that x and y are both differentiable functions of…
Assume that x and y are both differentiable functions of t. Find when and for the equation.
The radius r of a sphere is increasing at a rate of 2 inc…
The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of the volume when inches.