Given f(x) = ln x on the interval 1 ? x ? 5 and with n = 2, compute the Riemann sum (a) using the left endpoints; (b) using the right endpoints; and (c) using the midpoints of the subintervals. Enter your answer as just a, b, c all real numbers rounded to two decimal places and separated by commas.Enter the numbers in the order that answers (a), (b), (c) but do not label.
Fill in the blank(s) with the appropriate word(s).
2.20, 5.42, 4.16
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The angles of the triangles shown in the illustration are a = 52 o , b = 52 o . The triangles are congruent because of what property?
A. SAS property B. ASA property C. SSS property
Solve the following system of equations.
?
Round your answers to two decimal places.
What will be an ideal response?
Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = -2x2, [0, 4], midpoint
A.
B.
C.
D.
Solve the problem by integration.The force F (in N) applied by a stamping machine in making a certain computer part is where x is the distance (in cm) through which the force acts. Find the work done by the force from
to
A. 0.195 N? cm B. 13.5685 N? cm C. 0.0121 N? cm D. 0.0725 N? cm