If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 11 cm.

The diameter decreases at a rate of .

Step-by-step explanation:

The surface area of a sphere is given by

and its diameter is .

We assume that the snowball is a sphere.

If we take the derivative with respect with time using the chain rule, we get:

We know that the area decreases at a rate of , and we want to find the rate at which the diameter decreases when the diameter is 11 cm

So,

The diameter decreases at a rate of .

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

step-by-step explanation: