Solve the problem.An airplane has an air speed of 550 miles per hour bearing N30°W. The wind velocity is 50 miles per hour in the direction N30°E. To the nearest tenth, what is the ground speed of the plane? What is its direction?
A. 552.3 mph; N24.8°W
B. 552.3 mph; N54.8°W
C. 576.6 mph; N25.7°W
D. 526.8 mph; N55.3°W
Answer: C
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Find all the first order partial derivatives for the following function.f(x, y) = sin2 (8xy2 - y)
A. 
= 2sin (8xy2 - y) cos (8xy2 - y); 
= 2sin(8xy2 - y) cos(8xy2 - y)
B. 
= 16y2sin (8xy2 - y) cos (8xy2 - y); 
= 2sin (8xy2 - y) cos (8xy2 - y)
C. 
= 16y2sin (8xy2 - y) cos (8xy2 - y); 
= (32xy - 2) sin (8xy2 - y) cos (8xy2 - y)
D. 
= 2sin (8xy2 - y) cos (8xy2 - y); 
= (32x - 2) sin (8xy2 - y) cos (8xy2 - y)
Find an equation of a parabola satisfying the given conditions.Focus at 
, directrix y = - 
A. x2 = 12y B. y2 = 12x C. x2 = 3y D. y2 = 3x
Find the flux of the curl of field F through the shell S.F = (z - y)i + (x - z)j + (z - x)k; S: r(r,? ) = r cos?i + r sin?j + (25 - r2)k, 0 ? r ? 5 and 
A. -50? B. 100? C. -100? D. 50?
Find the slope of the line that passes through the given two points. If the slope is undefined, state this.(6, 5) and (11, -2)
A. - 
B. 
C. Undefined
D. 0