Solve the variation problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give 
when 
and 
What is the volume on this device when the temperature is 
and the pressure is 
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A. 7.5 cubic inches
B. 122.5 cubic inches
C. 102.5 cubic inches
D. 112.5 cubic inches
Answer: D
Mathematics
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Solve the problem.Find the derivative of the function 
at the point 
in the direction in which the function increases most rapidly.
A. 5 B. 6 C. 15 D. 10
Mathematics
Use the graph to find a ? > 0 such that for all x, 0 < 
< ? ? 
< ?.
A. 0.4169 B. 0.46 C. 0.4481 D. 0.865
Mathematics
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A. 
B. 
C. 
D. 
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Write the expression in the standard form a + bi.
A. 6 + 5i B. 6 - 5i C. -5 + 6i D. -5 - 6i
Mathematics