When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm/min. At what rate is the plate's area increasing when the radius is 48 cm cm? / min. The rate of change of the area is (Type an exact answer in terms of a.)

The radius r of a circle is increasing at a rate of 9 centimeters per minute. Find the rate of change of the area when r = 39 centimeters. cm?/min

Consider a triangle where two sides have fixed lengths 14 cm and 16 cm. Suppose the two sides are initially at an angle of a = and that they are closing together so that the angle between them is decreasing at a rate of radians per second. What is the rate at which the area of the triangle is decreasing when a = "? 16 cm?/s

Given that x and y are functions of time, find the indicated rate of change. dy = 2, given dt dx when y = 3 and dt that x* = 9y – 227. Find %3D dx (Round to two decimal places as needed.) dt