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Problem 3. (1 point) If a ball is thrown straight upward with an initial velocity of 64 feet per second, Its height above the ground, in feet, can be written as h(t) = -16t' + 64t, where t denotes the time in seconds that the ball has been airborne. What was the average rate of change of the height of the ball over the first 1 seconds? Hint: The average rate of change of a function f(x) over the interval [a, b] is found by evaluating f (b ) - f (a) b - a The answer is | feet per second. ( Enter your answer as a numerical value. If the answer is a fraction it must be simplified. ) preview answers Problem 4. (1 point) In the function P(t) = 309.3 . 1.007, P represents the population in millions and t represents the number of years since 2010. Find the population in 2015 and the rate at which the population is growing in 2015. Use h = 0.001 to estimate the derivative with the difference quotient. The population In 2015 is |million. The rate at which the population is growing In 2015 is |million people per year. ( Keep ALL decimal places on both parts. ) Hint: The population In 2015 is P(5). The rate of change in 2015 Is P' (5). Note: You can earn partial credit on this problem. preview answers 407 28