Give an appropriate answer.How are the partial derivatives ?f/?x and ?f/?y of a function f(x,y) defined? How are they interpreted and calculated?

What will be an ideal response?


Definitions:
 (a, b) =    and  (a, b) =   

?f/?x is the slope of the line tangent at (a,b) to the cross-section curve z = f(x, b).
 ?f/?y is the slope of the line tangent at (a,b) to the cross-section curve z = f(a, y).

?f/?x is calculated by treating y as a constant and then applying the standard rules for differentiation of a function with respect to x.
?f/?y is calculated by treating x as a constant and then applying the standard rules for differentiation of a function with respect to y.

Mathematics

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A.  cosh  + C
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D. - 2 cosh  + C

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Perform the indicated operation. Write the answer in simplest form. If the answer is an improper fraction, write it as a mixed number.

A. 3
B. 2
C. 3
D. 9

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Solve.In a statistics class, the following test scores were recorded for a student: 84, 79, 77, 73, 79, 65, 75. Find the mean, median, and mode for the data. 

A. mean: 77, median: 73, mode: 79 B. mean: 76, median: 73, mode: 84 C. mean: 77, median: 76, mode: 84 D. mean: 76, median: 77, mode: 79

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Given: ?1 ??3


Proof: STATEMENTS REASONS
m?+m?2 = m?ABD _______________________

Mathematics