The graph of a function f on the interval [0, 8] is shown in the figure.



Compute the Riemann sum for f on [0, 8] using four subintervals of equal length and choosing the evaluation points to be (a) the left endpoints, (b) the right endpoints, and (c) the midpoints of the subintervals.


a. 18
b. 10
c. 10

Mathematics

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Replace A with the proper expression such that the fractions are equivalent. = 

A. 4P3Q2 - 4P2Q2 B. 4P3Q2 - Q C. 4P2Q2 - 4P3Q3 D. 4P3Q2 - 4P2Q3

Mathematics

Multiply and simplify. ? 

A.
B.
C. - 
D. - 

Mathematics

Find the product. 

A. - 
B.
C.
D. - 

Mathematics

Find the number of terms in the sequence or the sum of the sequence as requested.Find the sum of the following arithmetic sequence.1 + 2 + 3 + . . . + 500

A. 62,500 B. 251,001 C. 125,000 D. 125,250

Mathematics