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| − | <span class="exam">Compute | + | <span class="exam">Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure <math>P</math> and volume <math>V</math> satisfy the equation <math>PV=C</math> where <math>C</math> is a constant. Suppose that at a certain instant, the volume is <math>600 \text{ cm}^3,</math> the pressure is <math>150 \text{ kPa},</math> and the pressure is increasing at a rate of <math>20 \text{ kPa/min}.</math> At what rate is the volume decreasing at this instant? |
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| − | ::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
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| − | ::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
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| − | ::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
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Revision as of 19:35, 17 February 2017
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure 
and volume 
satisfy the equation 
where 
is a constant. Suppose that at a certain instant, the volume is 
the pressure is 
and the pressure is increasing at a rate of 
At what rate is the volume decreasing at this instant?
Solution:
(a)
(b)
(c)
| Final Answer:
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| (a)
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| (b)
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| (c)
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