Solve the problem.Consider a fluid with a flow field F = x5y3i + 7z2j + zk. A miniature paddlewheel (idealized) is to be inserted into the flow at the point  Find a vector describing the orientation of the paddlewheel axis which produces the maximum rotational speed.

What will be an ideal response?


The paddlewheel axis points along the vector r = -14i - 3k.

Mathematics

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Use the two steps for solving a linear programming problem to solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

A. 35 counselors and 10 aides B. 12 counselors and 18 aides C. 18 counselors and 12 aides D. 27 counselors and 18 aides

Mathematics

Solve. Write the answer in simplest form.Find  of 77.

A. 7
B.
C. 847
D. 11

Mathematics

Solve the formula for the specified variable.S = 2?rh + 2?r2  for h

A. h = 
B. h = 2?(S - r)
C. h = S - r
D. h = 

Mathematics

Name the quadrant in which the point is located.(-14, -7)

A. I B. II C. III D. IV

Mathematics