Evaluate the line integral along the curve C.
ds , C is the curve r(t) = 4ti + (8 cos 
t)j + (8 sin 
t)k , 0 ? t ? 
?
A. 
?
B. 
?2 + 
C. 
?2 + 
D. 
+ 
Answer: C
Mathematics
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= 
, where v1, v2are the speeds at which light travels through two different mediums, and ?1, ?2 are the angles of incidence and refraction respectively. Find the angle of refraction if 
and the angle of incidence is 14°. Give your answer in degrees to the nearest hundredth.
A. 5.34° B. 10.72° C. 18.33° D. 3.56°
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Find the period.y = 3 sin
A. 3
B. 
C. ?
D. 8
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What are the surface area S and volume V of a cylinder with radius 3 cm and height 4 cm?
Use 
from a calculator. Choices are rounded to the nearest tenth.
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Find the limit of the following sequence.
?
?
A. 
B. 
C. 
D. 
E. The limit does not exist.
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