Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) = sin(3?x)

A. 3?x - ?3x3 + ?5x5 - ...
B. 3x - x3 + x5 - ...
C. 3?x - 27?3x3 + 243?5x5 - ...
D. 3?x - 9?3x3 + ?5x5 - ...


Answer: A

Mathematics

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Solve.An open-top rectangular box has a square base and it will hold 105 cubic centimeters (cc). Each side of the base has length x cm. Its surface area S is given byS(x) =  + x2. Graph the function on the interval (0, ?).

A.

B.

C.

D.

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Find an equation of the ellipse.An ellipse with major axis from (-3, 4) to (7, 4); minor axis from  to 

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

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Multiply and simplify.

A.
B.
C.
D.

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Use similar triangles to help solve the problem. ? A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. Find the height of the tree. ? ?

A. h = 27 ft B. h = 42 ft C. h = 30 ft D. h = 35 ft E. h = 22 ft

Mathematics