Perform the indicated operation. Assume that all variables represent nonnegative real numbers.
- 
+ 
A. 11x
B. 129
C. 129x
D. 11
Answer: D
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Find the gradient field F of the function f.f(x, y, z) = z sin (x + y + z)
A. F = -cos xi - cos yj + (sin z - z cos z)k B. F = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k C. F = cos xi + cos yj + (sin z + z cos z)k D. F = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k
Determine the maximum possible number of turning points for the graph of the function.f(x) = (x + 1)(x + 1)(4x - 6)
A. 3 B. 0 C. 2 D. 4
Convert the rectangular coordinates of the point to polar coordinates (r, ?) with r > 0 and 0 ? ? < 2?.(3
, 3)
A. 
B. 
C. 
D. 
Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = -2i - 3j, w = -2i + j
A. v1 = 
(-2i + j), v2 = - 
i - 
j
B. v1 = 
(-2i + j), v2 = 
i - 
j
C. v1 = 
(-2i + j), v2 = - 
i - 2j
D. v1 = 
(-2i + j), v2 = - 
i - 
j