q.1

A 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 2 feet per minute. Find the rate at which the area is changing at the instant the radius is 10 feet. (3 When the radius is 10 feet, the area is changing at approximately |:| square feet per minute. (Round to the nearest thousandth as needed.) dy dx Assume x and y are functions of t. Evaluate dt for 2xy - 4x + 3y = -21, with the conditions - = -9, x = 3, dt y= - 1. . . . dy dt (Type an exact answer in simplified form.)A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant rate of 2 feet per second. How fast is the top of the ladder sliding down the wall when the bottom is 15 feet from the wall? . . . The ladder is sliding down the wall at a rate of ft/sec. (Type an integer or a simplified fraction.)