Find the first term and the common ratio of the geometric sequence.1,
,
,
,
, . . .
A. a1 = 1, r =
B. a1 = 1, r = 2
C. a1 = , r = 9
D. a1 = , r =
Answer: A
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Calculate the circulation of the field F around the closed curve C.F = xyi + 8j , curve C is r(t) = 2 cos ti + 2 sin tj, 0 ? t ? 2?
A.
B. 16
C. 0
D.
State a sample space S with equally likely outcomes for the given experiment.The spinner shown here is spun twice.
A. S = {(1,1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)} B. S = {1, 1, 2, 2, 3, 3, 4, 4} C. S = {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)} D. S = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 1, 4), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 2, 4), (3, 3, 1), (3, 3, 2), (3, 3, 3), (3, 3, 4), (4, 4, 1), (4, 4, 2), (4, 4, 3), (4, 4, 4)}
Approximate the area under the curve and above the x-axis using n rectangles. Use right endpoints.f(x) = 2x2 + x + 3 from x = -2 to x = 1; n = 3
A. 25 B. 13 C. 17 D. 21
A 10-meter line is used to tether a helium-filled balloon. Complete the table, which shows the heights (in meters) of the balloon for decreasing angle measures . (Round your answers to one decimal places.)
Angle, ?
50°
40°
30°
20°
10°
Height
?
Angle, ?
70°
60°
50°
40°
30°
Height
A.
Angle,? | 50° | 40° | 30° | 20° | 10° |
Height | ?5.7 | ?6.4 | 5? | ?3.4 | 1.7? |
B.
Angle,? | 50° | 40° | 30° | 20° | 10° |
Height | ?7.7 | ?6.4 | ?5 | ?3.4 | 1.7?? |
C.
Angle,? | 50° | 40° | 30° | 20° | 10° |
Height | 4.7? | ?6.4 | ?5 | 3.4? | ?1.7? |
D.
Angle,? | 50° | 40° | 30° | 20° | 10° |
Height | ?3.7 | 6.4? | ?5 | ?3.4 | ?1.7? |
E.
Angle,? | 50° | 40° | 30° | 20° | 10° |
Height | ?6.7 | ?6.4 | ?5 | ?3.4 | 1.7?? |