Solve the system.
A. x = 1, y = 4, z = 2
B. x = 4, y = 1, z = 2
C. x = 4, y = 2, z = 1
D. x = 1, y = 2, z = 4
Answer: D
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Find the length and direction (when defined) of u × v.u = 4i + 2j + 8k, v = -i - 2j - 2k
A. 180; i +
j +
k
B. 180; i +
k
C. 6;
i +
k
D. 6;
i -
k
Solve the problem.A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.
A. y = 4(50 + t) -
B. y = 4(50 + t) -
C. y = 2(100 + t) -
D. y = 2(100 + t) -
Simplify. -
+
A.
B.
C.
D.
Solve the system of equations by the substitution method. Check your solutions. For any dependent equations, write your answer in the ordered pair form.
A. {(1, -12)} B. {(2, -14)} C. {(-14, 2)} D. {(3, -22)}