Find the Jacobian  or  (as appropriate) using the given equations.  

A. 750u
B. 750v
C. 450v
D. 450u


Answer: A

Mathematics

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Answer the question.It took 22 seconds for the temperature to rise from 3° F to 130° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of  ° F/sec. Explain.

What will be an ideal response?

Mathematics

Graph the function to find the stated characteristic of the graph.Graph f(t) = 3 cos (3t) in  by . State the period.

A. 6?
B.
C.
D.

Mathematics

Solve the problem.The cost function for the manufacture of graphing calculators is given by  where x is the number of graphing calculators manufactured. Using the appropriate domain, sketch the graph of the average cost  to manufacture x graphing calculators. Find the absolute minimum on the graph of . What do the coordinates of the absolute minimum tell us?-4.0px;" />

A. The absolute minimum is at (31,622.78, 31.11). This tells us that the average cost of a graphing calculator is minimized at $31.11 per calculator when approximately 31,623 are produced.
B. The absolute minimum is at (34,825.23, 29.32). This tells us that the average cost of a graphing calculator is minimized at $29.32 per calculator when approximately 34,825.23 are produced.
C. The absolute minimum is at (31,622.78, 29.32). This tells us that the average cost of a graphing calculator is minimized at  per calculator when approximately 31,623 are produced.
D. There is no absolute maximum.

Mathematics

Determine the domain and range of the relation.{(-4, 4), (1, -1), (-2, -4), (2, -2)}

A. Domain: {4, -1, -4, -2}; range: {-4, 1, -2, 2} B. Domain: {-4, 0, -2, 2}; range: {4, -1, 0, -2} C. Domain: {-4, 1, 7, 2}; range: {4, -1, -4, 7} D. Domain: {-4, 1, -2, 2}; range: {4, -1, -4, -2}

Mathematics