Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator.sin 
A. - 
B. - 
C. -1
D. 
Answer: B
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The first derivative f ' is given. Find all values of x that make the function a local minimum and a local maximum.f'(x) = (x + 8)(x + 3)
A. Local minimum at x = 3; local maximum at x = 8 B. Local minimum at x = -3; local maximum at x = -8 C. Local minimum at x = -3 and 0; local maximum at x = -8 D. No local extrema
Find the flux of the curl of field F through the shell S.F = (x-y)i + (x-z)j + (y-z)k; S is the portion of the cone z = 4
below the plane z = 5
A. 
B. 
?
C. - 
?
D. - 
?
Solve the problem.For the vectors u and v with magnitudes 
= 6 and 
= 8, find the angle ? between u and v which makes 
= 4
A. 48.19° B. 60.00° C. 41.81° D. 41.41°
Determine two pairs of polar coordinates for the point with 0° ? ? < 360°.(5, 5)
A. (5
, 45°), (-5
, 225°)
B. (5
, 135°), (-5
, 315°)
C. (5
, 225°), (-5
, 45°)
D. (5
, 315°), (-5
, 135°)