Solve the inequality.
A. 
B. 
C. 
D. 
E. 
Answer: D
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Solve the initial value problem.Differential Equation: 
= 
(t + 5)3/2i + etjInitial Condition: r(0) = 0
A. r(t) = [(t + 5)7/2 - 57/2]i + (et - 1)j B. r(t) = (t + 5)5/2i + etj C. r(t) = [(t + 5)5/2 + 55/2]i + (et + 1)j D. r(t) = [(t + 5)5/2 - 55/2]i + (et - 1)j
Solve the problem.Consider the graph below, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of the three regions bounded by the velocity curve and the t-axis are also given. 
(a) What is the displacement of the object over the interval [0, 6]?(b) What is the total distance traveled by the object over the interval [2, 6]?
A. (a) 41 miles (b) 34 miles B. (a) 27 miles (b) 21 miles C. (a) 13 miles (b) 6 miles D. (a) 13 miles (b) 34 miles
Solve the system of equations. x - y + 4z = 14x + z = 0 x + 4y + z = -4
A. x = 0, y = -1, z = 1 B. x = 0, y = -1, z = 0 C. x = 0, y = 0, z = -1 D. Inconsistent
Solve the problem.The "equilibrium constant" for a chemical reaction is often used to calculate the amounts of chemical substances that are present in a system. For a particular reaction, the equilibrium constant K is given by the formula 
where A, B, and C are the amounts (in arbitrary units) of chemicals a, b, and c. Calculate the equilibrium constant if A = 3, B = 4, and C = 2. Round your answer to three decimal places when necessary.
A. 18 B. 4.5 C. 9 D. 288