Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 4 and x = 8 using the midpoint sum with four rectangles of equal width.
A. 149
B. 165
C. 174
D. 126
Answer: A
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Find the limit of the sequence if it converges; otherwise indicate divergence.an = 7 + (0.7)n
A. 8 B. 7 C. 7.7 D. Diverges
Evaluate the integral.
A. 5 B. 0 C. -10 D. 10
Solve the problem.A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 60°. What is the distance between the piling and the pier to the nearest foot?
A. 113 feet B. 75 feet C. 225 feet D. 65 feet
Solve the problem. Assume projectile is ideal, launch angle is measured from the horizontal, and launch is over a horizontal surface, unless stated otherwise.What two angles of elevation will enable a projectile to reach a target 
downrange on the same level as the gun if the projectile's initial speed is 
Assume there is no wind resistance.
A. 0.02° and 89.98° B. 29.69° and 60.31° C. 59.38° and 30.62° D. 29.69°