Determine two pairs of polar coordinates for the point with 0° ? ? < 360°.(-2
, -2
)
A. (4, 135°), (-4, 225°)
B. (2, 225°), (-2
, 45°)
C. (2, 135°), (-2
, 225°)
D. (4, 225°), (-4, 45°)
Answer: D
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Find the flux of the vector field F across the surface S in the indicated direction.F = 2xi + 2yj + 8k; S is "nose" of the paraboloid z = 2x2 + 2y2 cut by the plane z = 3; direction is outward
A. - 3?
B. 21?
C. -
D. - 21?
For the following question(s), refer to the digraph below.
Suppose that the vertices of the digraph represent basketball teams playing in a tournament and the arcs represent games already played. An arc going from vertex X to vertex Y means that team X beat team Y. (No ties are possible in basketball.) Which of the following statements [A), B), C), or D)] is not true?
A. A defeated B and C but lost to E. B. B played a total of 5 games, winning 2 and losing 3. C. D and C were the only two teams that did not play each other. D. B and C were the only two teams that played each other twice. E. all of these statements are true.
One isotope of holmium, 162 Ho, has a half-life of 22 minutes. The half-life of a second isotope, 164 Ho, is 37 minutes. Starting with a sample containing equal amounts, find the ratio of the amounts of 162 Ho to 164 Ho after 32 minutes. ? Please give the answer to four decimal places.
Fill in the blank(s) with the appropriate word(s).
Find three cube roots for the complex number. Leave your answers in trigonometric form.
?
?
A.
B.
C.
D.
E.