Evaluate the integral.
A. ln + C
B. ln
+ C
C. 8 sin x + C
D. 8 ln + C
Answer: B
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Find the indicated term for the sequence.an = (5n - 3)(3n + 1); a12
A. 2109 B. 1457 C. 1768 D. 2480
Provide the proper response. Show all fractions in simplest form.Write a fraction to represent the shaded portion of the figure.
A.
B.
C.
D.
Solve.Marcus is planting a section of garden with tomatoes and cucumbers. The available area of the section is 150 square feet. He wants the area planted with tomatoes to be more than of the area planted with cucumbers. Write a system of inequalities to describe the situation. Let x represent the area (in square feet) planted in tomatoes and y represent the area (in square feet) planted in cucumbers.
A. x + y ? 150, x < 0.25y, x ? 0, y ? 0 B. x + y ? 150, x > 0.25y, x ? 0, y ? 0 C. x + y ? 150, x > 25y, x ? 0, y ? 0 D. x + y = 150, x ? 0.25y, x ? 0, y ? 0
Solve the problem.A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves the same station traveling in the same direction at 52 km/h. How long does it takes the passenger train to catch up to the freight train?
A. 2.2 hr B. 3.2 hr C. 4.2 hr D. 5.2 hr