Solve the problem.The voltage E in an electrical circuit is given by E = 5.2 cos 30?t, where t is time measured in seconds. Find the frequency of the function (that is, find the number of cycles or periods completed in one second).
A. 30
B. 
C. 15
D. 
Answer: C
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Find curl F.F(x, y, z) = y cos(x)i + x sin(y)j - 9k
A. 0 B. x cos(y)i - y sin(x)j + (x cos(y) + y sin(x))k C. 0i + 0j + (sin(y) - cos(x))k D. (-9 - x)i + (y + 9)j + (x - y)k
Find the value.If F(x, y) = ln (x2 + y2), find Fx(1, 3) and Fy(1, 3).
A. Fx(1, 3) = 
, Fy(1, 3) = 
B. Fx(1, 3) = 
, Fy(1, 3) = 
C. Fx(1, 3) = 
, Fy(1, 3) = 
D. Fx(1, 3) = 
, Fy(1, 3) = 
Express the integrand as a sum of partial fractions and evaluate the integral.
A. -4 ln
+ 
tan-1 
+ C
B. -4 ln
+ 2ln
+ 2ln
+ C
C. - 
+ 2ln
+ 2ln
+ C
D. 4 ln
- 2ln
- 2ln
+ C
Solve.In a certain coastal basin, the sea water contains 3.3 grams of salt per 1000 milliliters of water. How many grams of salt would be in 3 liters of the sea water? Round to the nearest tenth if needed.
A. 9.9 g B. 0.099 g C. 990 g D. 99 g