If we model the Earth's atmospheric pressure as a function of the height above sea level using p(z) = 1000e/10, where z represents the height above sea level in Km, what do the following expressions represent? One does not have a match. а. р'(20) the atmospheric pressure at an elevation of 20 km. 1 -20 b. " 20 o P(z)dz the average change in pressure in the first 20 km p(20)-p(0) C. the rate of change of pressure at an elevation of 20 km 20 pr(20)-pr(0) d. the average pressure at all elevations between 0 and 20 km 20 е. p(20) Use the following table to find f(9(x))· g(x) for x = 1. Hint: start by writing out the product rule for derivatives, and read the values that you need from the table. 1 2 3 4 f(x) 5 4 3 2 f'(x) 3 5 2 1 g(x) 4 2 5 3 g'(x) 2 4 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If we model the Earth's atmospheric pressure as a function of the height above sea level
using p(z) = 1000e/10, where z represents the height above sea level in Km, what do the
following expressions represent?
One does not have a match.
а. р'(20)
the atmospheric pressure at an elevation of 20 km.
1
r20
P(z)dz
the average change in pressure in the first 20 km
20 o
р(20)-р(0)
the rate of change of pressure at an elevation of 20 km
C.
20
pi(20)-pr(0)
the average pressure at all elevations between 0 and 20 km
d.
20
е. Р(20)
Use the following table to find f(9(x)) ·g(x) for x = 1. Hint: start by writing out the
product rule for derivatives, and read the values that you need from the table.
1 2 3 4
f(x)
|5 4 3 2
f'(x)
3
5
2
g(x)
4 2 5 3
g'(x)
2
4
3
1.
1.
Transcribed Image Text:If we model the Earth's atmospheric pressure as a function of the height above sea level using p(z) = 1000e/10, where z represents the height above sea level in Km, what do the following expressions represent? One does not have a match. а. р'(20) the atmospheric pressure at an elevation of 20 km. 1 r20 P(z)dz the average change in pressure in the first 20 km 20 o р(20)-р(0) the rate of change of pressure at an elevation of 20 km C. 20 pi(20)-pr(0) the average pressure at all elevations between 0 and 20 km d. 20 е. Р(20) Use the following table to find f(9(x)) ·g(x) for x = 1. Hint: start by writing out the product rule for derivatives, and read the values that you need from the table. 1 2 3 4 f(x) |5 4 3 2 f'(x) 3 5 2 g(x) 4 2 5 3 g'(x) 2 4 3 1. 1.
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