Provide an appropriate response.If f(x, y, z) = x2yz2 + xy2z + xy, then fx(1, 2, 3) =

A. 36.
B. 55.
C. 48.
D. 50.
E. none of the above


Answer: D

Mathematics

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Solve the problem.The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by  where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the hydrogen ion concentration if the 

A. 2.51 x 10-3 B. 3.98 x 10-3 C. 2.51 x 10-2 D. 3.98 x 10-2

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For the restaurant bill, estimate the tip. Then find the exact amount of the tip. State your answers to the nearest hundredth.The restaurant bill is $78.14. Give the estimate of a 15% tip and the exact amount of a 15% tip.

A.

Estimate: $12.00Exact: $11.72

B.
Estimate: $16.00Exact: $15.63

C.
Estimate: $8.00Exact: $7.81

D.
Estimate: $20.00Exact: $19.54

Mathematics

Solve the equation in the interval [0, 2?). Express solutions as approximations to the nearest hundredth.2 sec2x - 2 sec x - 1 = 0

A. {2.39, 4.79} B. {0.75, 5.53} C. {0.75, 2.39, 4.79, 5.53} D. {0.75, 2.39}

Mathematics

Find the general solution for the differential equation.y ' = 54x2 - 16x

A. 18x3 - 8x2 + C B. 18x3 - 16x2 + C C. 54x3 - 16x2 + C D. 54x3 - 8x2 + C

Mathematics