Find the flux of the curl of field F through the shell S.F = -3yi + 9zj + 6xk; S: r(r, ?) = r cos ?i + r sin ?j + (4 - r2)k, 0 ? r ? 2 and 0 ? ? ? 2?

A. 6?
B. 12
C. 12?
D. -12?


Answer: C

Mathematics

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Express the number in decimal notation.4.14 × 10-4

A. 0.0000414 B. -414,000 C. 0.000414 D. 0.00414

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In the following figure: BF and AG are parallel and DEF is an isosceles triangle.




(a) List two supplementary angles.
(b) What shape is ABDEGHA?
(c) What is the measure of ?DFG?
(d) What is the measure of ?BAH?
(e) How many obtuse interior angles are in the figure? List the angle names and measures.
(f) List one set of vertices that form a pentagon.
(g) List two sets of vertices that form scalene triangles
(h) Which angles are congruent? List all congruent angle sets.

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Find the exact value of the expression.sin

A.
B.
C.
D.

Mathematics

Graph the function.Use the graph of f(x) = 3x to obtain the graph of g(x) =  ? 3x.

A.

B.

C.

D.

Mathematics