Find the quadratic approximation of f at x = 0.f(x) = sin ln(2x + 1)

A. Q(x) = 1 + 2x + 2x2
B. Q(x) = 2x - 2x2
C. Q(x) = 2x + 2x2
D. Q(x) = 1 - 2x + 2x2


Answer: B

Mathematics

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Provide an appropriate response.For an alternating series where it is not true that un ? un+1 for sufficiently large n, what can be said about the convergence or divergence of the series?

A. The series always diverges. B. The series always converges. C. The series may or may not converge.

Mathematics

Solve the problem by guessing and adjusting.Mitra created a mosaic design using square 4-by-4 cm white tiles and rectangular  centimeter black tiles. She used twice as many white tiles as black tiles. The finished pattern was 2704 square centimeters in area. How many rectangular tiles did she use?

A. 52 B. 20 C. 104 D. 212

Mathematics

Solve.A census was taken to determine the median annual income for residents of a selected region of the United States, by level of education. The given polynomial models describe the median annual income for men, M, and for women, W, who have completed x years of education. Shown in a rectangular coordinate system are the graphs of the polynomial models. Identify the median annual income for a woman with 10 years of education as a point on the appropriate graph.M = 224x2 - 1266x + 20,106W = 287x2 - 4030x + 33,761

A. (10, 22,161) B. (10, 41,240) C. (10, 58,431) D. (10, 29,846)

Mathematics

Sketch the graph of the function on log-log paper.y = 3x2 - 5x4

What will be an ideal response?

Mathematics