Related Rates
A long ladder is leaning against a wall and sliding toward the floor. If the foot of the ladder is sliding away from the base of the wall at a rate of how fast is the top of the ladder sliding down the wall (in feet/sec) when the top of the ladder is from the ground?
At time , the radius of a circle is equal to . The radius of the circle increases at a rate of . The rate of change of area at is equal to , where is a positive integer. What is the value of ?
Throwing a stone in a calm lake forms concentric ripples, as shown in the above picture. If the radius of one ripple increases at the rate of per second, what is the rate of increase of the area of the ripple seconds after a stone is thrown (in )?
During a rainstorm, the area of a circular pool of water increases at the rate of At what rate is the radius expanding (in inches/sec) when the radius is
A point is moving along the parabola toward the origin with -coordinate increasing at the rate of and -coordinate positive. How fast is the point moving in terms of the remaining distance to the origin as it passes through the point on the parabola?