2. Differentiate the following: - a. q(p) = 3e³ - 2p 1 3 b. y = ln (5p² - √p) C. c. f'(1) = (3e³ - 2p³¹³) In (5p-² - √p)

The half-life of magnesium-27 is 9.45 minutes. How much of a 10-mg sample will be left in 6 minutes?

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?