we might learn in a physics class that the air pressure can be found as a function of altitude h feet above sea level given by the function: P(h) = 30 e -3.23x10-5.h where P(h) is measured using inches of mercury. %3D 6. Find the first derivative of the physics function. Show your work appropriately and simplify. 7. Find the second derivative of the physics function. Show your work appropriately and simplify. 8. Using calculus, explain how the first and second derivatives tell us whether the physics function is increasing or decreasing and whether it is concave up or concave down. Tue 9. Now sketch a reasonable graph of P(h) = 30 e-3.23×10-5.h using the domain [0, 30000]. %3D 000 10. Sketch a reasonable graph of both the Climber's Estimate function and the physics function using the window h-[0, 5000], pressure =[25, 30]. 11. Based on your graph, for what altitudes would you suggest that the rule of thumb is sufficient in estimating air pressure? 25. 000 000 Page 178
we might learn in a physics class that the air pressure can be found as a function of altitude h feet above sea level given by the function: P(h) = 30 e -3.23x10-5.h where P(h) is measured using inches of mercury. %3D 6. Find the first derivative of the physics function. Show your work appropriately and simplify. 7. Find the second derivative of the physics function. Show your work appropriately and simplify. 8. Using calculus, explain how the first and second derivatives tell us whether the physics function is increasing or decreasing and whether it is concave up or concave down. Tue 9. Now sketch a reasonable graph of P(h) = 30 e-3.23×10-5.h using the domain [0, 30000]. %3D 000 10. Sketch a reasonable graph of both the Climber's Estimate function and the physics function using the window h-[0, 5000], pressure =[25, 30]. 11. Based on your graph, for what altitudes would you suggest that the rule of thumb is sufficient in estimating air pressure? 25. 000 000 Page 178
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![we might learn in a physics class that the air pressure can be found as a function of altitude h feet above sea
level given by the function: P(h) = 30 e
-3.23x10-5.h
where P(h) is measured using inches of mercury.
%3D
6. Find the first derivative of the physics function.
Show your work appropriately and simplify.
7. Find the second derivative of the physics
function. Show your work appropriately and
simplify.
8. Using calculus, explain how the first and second derivatives tell us whether the physics function
is increasing or decreasing and whether it is concave up or concave down.
Tue
9. Now sketch a reasonable graph of P(h) = 30 e-3.23×10-5.h
using the domain [0, 30000].
%3D
000
10. Sketch a reasonable graph of both the
Climber's Estimate function and the physics
function using the window h-[0, 5000],
pressure =[25, 30].
11. Based on your graph, for what altitudes would
you suggest that the rule of thumb is sufficient in
estimating air pressure?
25.
000
000
Page 178](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fa1ceb8-d745-4ef0-b987-349a2780ef7e%2F58565c31-aeb8-4f3c-8019-d18ddd9b3ef3%2Ff390lyk.jpeg&w=3840&q=75)
Transcribed Image Text:we might learn in a physics class that the air pressure can be found as a function of altitude h feet above sea
level given by the function: P(h) = 30 e
-3.23x10-5.h
where P(h) is measured using inches of mercury.
%3D
6. Find the first derivative of the physics function.
Show your work appropriately and simplify.
7. Find the second derivative of the physics
function. Show your work appropriately and
simplify.
8. Using calculus, explain how the first and second derivatives tell us whether the physics function
is increasing or decreasing and whether it is concave up or concave down.
Tue
9. Now sketch a reasonable graph of P(h) = 30 e-3.23×10-5.h
using the domain [0, 30000].
%3D
000
10. Sketch a reasonable graph of both the
Climber's Estimate function and the physics
function using the window h-[0, 5000],
pressure =[25, 30].
11. Based on your graph, for what altitudes would
you suggest that the rule of thumb is sufficient in
estimating air pressure?
25.
000
000
Page 178
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