Using Green's Theorem, find the outward flux of F across the closed curve C.F = (x - y)i + (x + y)j; C is the triangle with vertices at (0, 0), (6, 0), and (0, 8)
A. 384
B. 0
C. 96
D. 48
Answer: D
Mathematics
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Find the principal unit normal vector N for the curve r(t).r(t) = (4 sin t)i + (4 cos t)j + 8k
A. N = (-cos t)i - (sin t)j B. N = (sin t)i + (cos t)j C. N = (-sin t)i - (cos t)j D. N = (-sin t)i + (cos t)j
Mathematics
Solve the problem.Does the graph of the function y = tan x - x have any horizontal tangents in the interval 
If so, where?
A. Yes, at x = 
, x = 
B. Yes, at x = ?
C. No
D. Yes, at x = 0, x = ?, x = 2?
Mathematics
Solve the problem.Find the shaded area in the figure.
A. 39.5 cm2 B. 78.9 cm2 C. 223 cm2 D. Not enough information.
Mathematics
Fill in the blank with one of the words listed below.
A number that can be written in the form a + bi is called a 
number.
A. conjugate B. complex C. i D. quadratic
Mathematics