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A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the first base at 31 ft/s. How fast is the player's distance from the second base changing when the player is halfway to the first base? (Give your answer to two decimal places.)

A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the first base at 31 ft/s. How fast is the player's distance from the second base changing when the player is halfway to the first base? (Give your answer to two decimal places.)

Calculus: Early Transcendentals
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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A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the first base at 31 ft/s. How fast is the player's distance from the second base changing when the player is halfway to the first base? (Give your answer to two decimal places.)
Transcribed Image Text:A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the first base at 31 ft/s. How fast is the player's distance from the second base changing when the player is halfway to the first base? (Give your answer to two decimal places.)
The pressure P and volume V of an expanding gas are related by the formula PV¹ = C, where b and C are constants (this holds in adiabatic expansion, with or without loss). dV dt Find if b = 1.3, P = 14 kPa, V = 70 cm³, and = 20 cm³/min. dP dt (Use symbolic notation and fractions where needed.)
Transcribed Image Text:The pressure P and volume V of an expanding gas are related by the formula PV¹ = C, where b and C are constants (this holds in adiabatic expansion, with or without loss). dV dt Find if b = 1.3, P = 14 kPa, V = 70 cm³, and = 20 cm³/min. dP dt (Use symbolic notation and fractions where needed.)
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