Homework 3.6

question 1

The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the volume changing when the radius is 7.7 cm? . . . The volume is changing at a rate of cm / minute. (Type an integer or a decimal. Round to one decimal place as needed.)Next question A point is moving on the graph of xy= 21. When the point is at (3,7), its x-ooordinate is increasing by 3 units per second. How fast is th ing at that moment? The ycoordinate is V at D units per second. (Simplify your answer.) A boat is being pulled toward a dock as shown in the gure to the right. If the rope is being pulled in at the rate of 4 feet per second, how fast is the distance between the dock and the boat decreasing R when it is 2 feet trom the dock? we 2 fr Boat Dock The distance between the dock and the boat is decreasing by feet per second when the boat is 2 feet from the dock. (Round to the nearest thousandth as needed.) \fA rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 5 feet per minute. Find the rate at which the area is changing at the instant the radius is 12 feet. When the radius is 12 feet, the area is changing at approximately square feet per minute. (Round to the nearest thousandth as needed.)