For the function in each of Exercises 97 and 98, graph f and f ' over the given interval. Then estimate points at which the line tangent to f is horizontal. f ( x ) = 6 x 3 − 3 x 2 − 48 x + 45 ; [ − 5 , 5 ]
For the function in each of Exercises 97 and 98, graph f and f ' over the given interval. Then estimate points at which the line tangent to f is horizontal. f ( x ) = 6 x 3 − 3 x 2 − 48 x + 45 ; [ − 5 , 5 ]
Solution Summary: The author explains how to plot the function and its derivative using the TI-83 graphing calculator.
For the function in each of Exercises 97 and 98, graph
f
and
f
'
over the given interval. Then estimate points at which the line tangent to f is horizontal.
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked,
its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t)=-16t² + 30t+3
a. How high will it go?
b. How long is it in the air?
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
Chapter 1 Solutions
Calculus and Its Applications Plus MyLab Math with Pearson eText -- Access Card Package (11th Edition) (Bittinger, Ellenbogen & Surgent, The Calculus and Its Applications Series)
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