The surface area of a right circular cylinder of height 2 feet and radius r feet is given by s(r)=2πrh+2πr2. find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3. 24π 64π 20π 16π

S(r) = 2pi*r*h + 2pi*r^2

S ' (r) = 2pi*h + 2*2*pi*r differentiate with respect to r

S ' (r) = 2pi*h + 4pi*r

S ' (3) = 2pi*h + 4pi*3 ... plug in r = 3

S ' (3) = 2pi*h + 12pi

S ' (3) = 2pi*2 + 12pi plug in h = 2

S ' (3) = 4pi + 12pi

S ' (3) = 16pi

D) 16pi

∞ this is your sign

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.