For each function in Exercises 1-16 , (a) find the simplified from of the different of the different quotient and then (b) complete the following table, x h f ( x + h ) − f ( x ) h 5 2 5 1 5 0.1 5 0.01 f ( x ) = x 2 − 3 x a. (a) 2 x + h − 3 b. (b) 9 , 8 , 7.1 , 7.01
For each function in Exercises 1-16 , (a) find the simplified from of the different of the different quotient and then (b) complete the following table, x h f ( x + h ) − f ( x ) h 5 2 5 1 5 0.1 5 0.01 f ( x ) = x 2 − 3 x a. (a) 2 x + h − 3 b. (b) 9 , 8 , 7.1 , 7.01
Solution Summary: The author explains the simplified form of the difference quotient of f(x)=x
For each function in Exercises 1-16, (a) find the simplified from of the different of the different quotient and then (b) complete the following table,
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, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
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