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
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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.
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
Multiply and simplify.
A.
B.
C.
D.
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