Solve.A rectangular board is 6 ft by 20 ft. How far from the center of the board should the foci be located in order to cut the largest elliptical tabletop from the board?

A. 3.0 ft
B. 7.0 ft
C. 9.5 ft
D. 0.5 ft


Answer: C

Mathematics

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Find the flux of the curl of field F through the shell S.F = -4x2yi + 4xy2j + ln zk ; S: r(r, ?) = r cos ?i + r sin ?j + 4rk, 0 ? r ? 4 and 0 ? ? ? 2?

A.
B. - 512?
C. ?
D.

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Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, ), on the circle , also lies on the terminal side of an angle ? in quadrant II. The point , on the circle , also lies on the terminal side of an angle ? in quadrant III.f(2?)

A.  
B. - 

C.
D. - 

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Indicate whether the statement is true always, sometimes, or never.The sum of two imaginary numbers is an imaginary number.

A. Always B. Sometimes C. Never

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Find the length of the third side of the right triangle. Where appropriate, give both an exact answer and an approximation to three decimal places.

A. 10 B. 9 C. 5 D. 7

Mathematics