The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 11 cm, how fast is the area of the rectangle increasing

The rectangle's area is the product of its length and width. Differentiating both the area and the product with respect to time gives

The length and width increase at respective rates of and .

At the moment and , the area is increasing at a rate of

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation: