Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(x) = 6 + sin ?x on [0, 2] divided into 4 subintervals

A.
B. 6
C. 0
D.


Answer: D

Mathematics

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Find the intersection.x = -2 + 8t, y = 8 - 5t, z = 9 + 8t ; 3x + 8y - 7z = 2

A. (6, 3, 17)
B. (-10, 13, 1)
C.
D.

Mathematics

Solve the problem.A construction crane lifts a 100-lb bucket originally containing 140 lb of sand at a constant rate. The sand leaks out at a constant rate so that there is only 70 lb of sand left when the crane reaches a height of 90 feet. How much work is done by the crane?

A. 3375 ft ? lb B. 18,450 ft ? lb C. 21,600 ft ? lb D. 9450 ft ? lb

Mathematics

Solve the problem.Find the salary in 2012 dollars that would be equivalent to a $75,000 salary in 2017. Assume an average annual inflation rate of 2.25% between 2012 and 2017. Round your answer to the nearest cent.

A. $66,013.24 B. $66,289.07 C. $67,929.81 D. $60,038.26 E. $67,103.42

Mathematics

Name the property illustrated by the statement.6 ? 5 = 5 ? 6

A. Associative Property of Multiplication B. Identity Property of Multiplication C. Commutative Property of Multiplication D. Distributive Property

Mathematics