The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its area if its radius increases from 30 mm to 38 mm. The estimated change in area ismm?. (Type an exact...

Extracted text: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its area if its radius increases from 30 mm to 38 mm. The estimated change in area ismm?. (Type an exact answer in terms of x.) Researchers have observed that the mass of a female (gilt) pig can be estimated by the function -0.01503(t - 112.2) where t is the age of the pig (in days) and M is the mass of the pig (in M(t) = - 3.5 + 198.5 e kilograms). a. If a particular gilt is 90 days old, use differentials to estimate how much it will gain before it is 100 days old. b. What is the actual gain in mass? a. If a particular gilt is 90 days old, use differentials to estimate how much it will gain before it is 100 days old. It will gain approximatelyO kilograms. (Do not round until the final answer. Then round to two decimal places as needed.) A spherical snowball is melting. Find the approximate change in volume if the radius decreases from 6 cm to 5.8 cm. If the radius decreases from 6 cm to 5.8 cm, the change in volume will be (Round to the nearest tenth as needed.)