• 16 Questions
A particle is moving along the curve . If the rate of change of its -coordinate with respect to time as it passes through the point is 3, find the rate of change of its -coordinate with respect to time at the same point.
A metal cube shrinks, while preserving its shape, at the rate 5 cm3/s. What is the rate of change of one of its edges when its volume is 343 cm3?
Points and are on the same plane, but 103 m apart. A balloon rises vertically from. When the angle of elevation of the balloon as measured from is radians, the rate of increase of this angle is 0.25 rad/min. Find how fast the balloon is rising at this moment, to the nearest 2 decimal places.
A body moves along the curve . If at , what is at this moment?
A spherical balloon leaks helium at the rate of 59 cm3/s. What is the rate of change of its surface area when its radius is 39 cm?