Use summation notation to write the sum.
?

?

A.
B.
C.
D.
E.


Answer: E

Mathematics

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Sketch the graph of the parametric equations. Then set up the appropriate integral to find the length of the curve and use a computer to evaluate it.x = 2 sin t, y = 2 cos t, 0 ? t ? 2?

A. L = 5?

B. L = 5?

C. L = 2?

D. L = 4?

Mathematics

Find the length of the curve.x = (t3 - 3t), y = t2 + 5, 0 ? t ? 1

A.
B.
C.
D. 2

Mathematics

State a sample space S with equally likely outcomes for the given experiment.A box contains 2 blue cards numbered 1 through 2, and 3 green cards numbered 1 through 3. List the sample space of picking a blue card followed by a green card.

A. S = {(1,1), (1,2), (2, 1), (2, 2), (3, 1), (3, 2)} B. S = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3)} C. S = {12} D. S = {7}

Mathematics

The number of lumens (time rate of flow of light) L from a fluorescent lamp can be approximated by the model ? L = -0.294x2 + 97.744x- 664.875,         20 ? x ? 90 ? where x is the wattage of the lamp. ? Use a graphing utility to select the graph of the function. Use the graph to estimate the wattage necessary to obtain 2400 lumens. ?

A. ?

40W


B. ?

30W


C. ?

45W


D. ?

25W


E. ?

35W


Mathematics