Solve.The pressure P (in pounds per square inch or psi) on a submerged body in wastewater is given by
where D is the depth in feet. At what depth is the pressure 45.0 psi? (Round to the nearest tenth, if necessary.)
A. 58.3 ft
B. 114.8 ft
C. 62.9 ft
D. 86.5 ft
Answer: A
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Solve the problem.Find the mass of the lamina in the first quadrant bounded by the coordinate axes and the curve if
.
A.
B.
C.
D.
Write the objective function that describes the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $5, takes up 5 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 13 cubic feet. He has only $74 to spend and the office has room for no more than 74 square feet of cabinets. Let x equal the number of cabinet A's bought and y equal the number of cabinet B's bought.
A. z = 10x + 3y B. z = 3x + 10y C. z = 13x + 7y D. z = 7x + 13y
Suppose that over a certain region of space the electrical potential V is given by V(x, y, z) = 8x² - 7xy + 7xyz.
Find the rate of change of the potential at in the direction of the vector v = 7i + 10j - 8k. a. -15.099 b. 14.569856 c. 44 d. 20 e. -0.96
Solve.x = 18
A. 20
B.
C.
D.