For each function in Problems 19-22, approximate f '(a) in the following ways. Use f ( a + h ) − f ( a ) h with h = 0.0001. (b) Graph the function on a graphing calculator. Then zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. f ' ( 2 ) for f ( x ) = 3 x 4 − 7 x − 5
For each function in Problems 19-22, approximate f '(a) in the following ways. Use f ( a + h ) − f ( a ) h with h = 0.0001. (b) Graph the function on a graphing calculator. Then zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. f ' ( 2 ) for f ( x ) = 3 x 4 − 7 x − 5
For each function in Problems 19-22, approximate f'(a) in the following ways.
Use
f
(
a
+
h
)
−
f
(
a
)
h
with
h
=
0.0001.
(b) Graph the function on a graphing calculator. Then zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see.
Last January, the Aqueduct and Sewerage company of a municipality charged the following rates for the consumption of residential water for stratum 3.
Fixed monthly fee $ 10,365
Basic consumption (Between 0 and 20 m3) $ 1,883 / m3
Non-basic consumption (more than 20 m3) $ 2,215 / m3
Write the function C (x) that allows you to calculate the monthly cost C per x cubic meters of water consumed by a family in stratum 3.
Chapter 9 Solutions
Mathematical Applications for the Management Life and Social Sciences
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