Evaluate the definite integral. Express the answer in terms of natural logarithms.
A. ln(
)
B. ln(4 + 
)
C. ln 5
D. ln(4 + 
)
Answer: D
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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 24x + 16yConstraints0 ? x ? 10 0 ? y ? 5 3x + 2y ? 6
A. Maximum: 80; at (0, 5) B. Maximum: 240; at (10, 0) C. Maximum: 320; at (10, 5) D. Maximum: 48; at (0, 3)
Perform the indicated operation
Express 17,400,000,000 using scientific notation.
Solve.On a map, 1 in. represents 120 miles. How much does 
in. represent?
A. 72 mi B. 62 mi C. 200 mi D. 82 mi
Solve the problem.The network in the figure shows the traffic flow (in vehicles per hour) over several one-way streets in the downtown area of a certain city during a typical lunch time. Determine the general flow pattern for the network.In other words, find the general solution of the system of equations that describes the flow. In your general solution let x4 be free.
A. x1 = 600 - x4 x2 = 400 - x4 x3 = 300 + x4 x4 is free x5 = 300 B. x1 = 500 + x4 x2 = 400 - x4 x3 = 300 - x4 x4 is free x5 = 200 C. x1 = 600 + x5 x2 = 400 - x5 x3 = 300 - x5 x4 = 300 x5 is free D. x1 = 600 - x4 x2 = 400 + x4 x3 = 300 - x4 x4 is free x5 = 300