Chapter 7.1, Problem 34E

1. A tennis ball is dropped from the top of a building that is 1545 feet tall, with an initial velocity of -30.5 feet per second. Use the position function s(t)=-16t^2+v0t+s0 to help you answer the given questions. a.Write the equations of the position and instantaneous velocity functions. b. What is the average velocity over the first two seconds? c.When does the coin hit the ground? Round your answer to two decimal places. d.What is the velocity of the coin upon impact? 2.find all the values of x for which f(x) will have a horizontal tangent line f(x)=(x-4)/(x^2-7) 3. Find the derivative of the function. g(x)=4x(3x+2)^5 4.

If ? = 1.602×10!!"?, calculate the value of h from the slope (include the unit). The slope is = -7.94x10^13 and the intercept is = 8.21x10^14

A new fertilizer is being tested on a stalk of corn. The height of the corn is increasing in a linear fashion during the test period. The height of the corn t days after the fertilizer is first applied is given by H = 14 + 1.4t centimeters. Explain in practical terms the meaning of the initial value and growth rate. In practical terms this means "The corn's height when the fertilizer was applied was        and it grows by        ."

The average weight of a male child's brain is 970 grams at age 1 and 1270 grams at age 3.t (a) Assuming that the relationship between brain weight y grams and age t years is linear, write a linear model for the

Calculate y" and y"'. y = x4 − 25x2 + 2x

Show the complete solution.And please make the solution readable. THANK YOU.

The slope of the curve when x=e is y = (In 2x)?

What is the linear equation (y = mx + b form) that best approximates the relationship between advertising dollars spent(x) and sales revenue(y) based on the above 8 months of data? (round to 2 decimals for the slope and the y intercept)