Question 1
For this question, treat 'z' as a function of the independent variable, 'y'. That is z = f(y) = z(y)
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A.
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B.
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C.
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D.
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E.
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F.
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Question 2
Consider a fluid for which the relation between its pressure (P), volume(V), and temperature(T) is given by:
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What is the area under the curve representing a volume change from V1 to V2 (V1 less than V2) while T is constant. R and n are constants.
A.
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B.
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C.
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D.
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E.
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Question 3
Consider a function of 2 independent variables, g(x,y) where x and y are the independent variables. A partial derivative of g(x,y) is sometimes necessary to evaluate. Abstractly, this would meet a need to assess a change in g(x,y) when x changes while y is constant. The case of y changing with x constant is also a possibility. A partial derivative is written as the following for the differential change in g(x,y) with a differential change in x with y constant:
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For the following function, g(x,y), determine the total differential.
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A.
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B.
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C.
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D.
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E.
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Question 4
Find the total differential for the function:
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A.
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B.
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C.
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D.
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E.
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Question 5
What is the area under the curve represented by f(x) between the values of x1 and x2 (x1 less than x2)?
A.
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B.
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C.
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D.
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E.
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F.
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