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2. The temperature T and pressure P of a gas inside a pressure cooker follows the equation T/P = 8. a. Find an expression for dT/dP in terms of P and T. b. Does Temperature increase with Pressure when T and P are both positive? Hint: What is the sign of dT/dP?

2. The temperature T and pressure P of a gas inside a pressure cooker follows the equation T/P = 8. a. Find an expression for dT/dP in terms of P and T. b. Does Temperature increase with Pressure when T and P are both positive? Hint: What is the sign of dT/dP?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 74E
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Aa Search On My Mac October 13, 2021 at 10:04 AM 2. The temperature T and pres... 10:04 AM follows the equation T/P... Notes 1 2. The temperature T and pressure P of a gas inside a pressure cooker follows the equation T/P = 8. a. Find an expression for dT/dP in terms of P and T. b. Does Temperature increase with Pressure when T and P are both positive? Hint: What is the sign of dT/dP? 3. For a constant weight load that a rectangular piece of wooden beam supports, the height H and the width W of the cross-section of the beam follow the equation 10 = H2 W. a. Find dW/dH in terms of W and H. b. Does W increase as H does? Hint: What is the sign of dW/dH? + New Folder
Transcribed Image Text:Aa Search On My Mac October 13, 2021 at 10:04 AM 2. The temperature T and pres... 10:04 AM follows the equation T/P... Notes 1 2. The temperature T and pressure P of a gas inside a pressure cooker follows the equation T/P = 8. a. Find an expression for dT/dP in terms of P and T. b. Does Temperature increase with Pressure when T and P are both positive? Hint: What is the sign of dT/dP? 3. For a constant weight load that a rectangular piece of wooden beam supports, the height H and the width W of the cross-section of the beam follow the equation 10 = H2 W. a. Find dW/dH in terms of W and H. b. Does W increase as H does? Hint: What is the sign of dW/dH? + New Folder
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