Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure Pand volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 1000 cm3, the pressure is 200 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant? ] cm³/min

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
Question
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the
volume is 1000 cm³, the pressure is 200 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
cm3/min
Transcribed Image Text:Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 1000 cm³, the pressure is 200 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant? cm3/min
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
cm2/s
Transcribed Image Text:The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 5 cm, how fast is the area of the rectangle increasing? cm2/s
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