Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = x sin 4x

A. 4x2 + x4 + x6 + x8 + . . .
B. 4x2 - x4 + x6 - x8 + . . .
C. 4x - x4 + x6 - x8 + . . .
D. 4x - 8x3 + x5 - x7 + . . .


Answer: B

Mathematics

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Find the exact value of the sum.sin 105° + sin 15°

A.
B.
C. - 
D.

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Subtract.-15 + 1 - 9 - (-20) + 3

A. 0 B. -40 C. -30 D. -22

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Solve the problem. Round your answer to two decimal places.The area of a circle varies directly as the square of the radius of the circle. If a circle with a radius of 5 inches has an area of 78.5 square inches, what is the area of a circle with a radius of 18 inches?

A. 1019.76 in2 B. 113.04 in2 C. 56.52 in2 D. 1017.36 in2

Mathematics

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.f(x) = 2(x + 8)3

A. - , multiplicity 2, crosses the x-axis;
-8, multiplicity 3, touches the x-axis and turns around
B. - , multiplicity 2, touches the x-axis and turns around;
-8, multiplicity 3, crosses the x-axis.
C. , multiplicity 2, touches the x-axis and turns around; 
8, multiplicity 3, crosses the x-axis.
D. , multiplicity 2, crosses the x-axis; 
8, multiplicity 3, touches the x-axis and turns around

Mathematics