Find all real roots of the given equation by using Newton's method.x3 - x - 1 = 0

A. 1.3252004
B. 1.3247180
C. 1.3258013, -0.6873561
D. 1.3247112, 0.1354533, -0.6873613


Answer: B

Mathematics

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Solve the problem.The diameter of a rubber ice-hockey puck is 2.8 inches. What is the area of one flat side of the puck? Use 3.14 as an approximation for 

A. 6.1544 sq in. B. 24.6176 sq in. C. 8.792 sq in. D. 3.0772 sq in.

Mathematics

Solve the problem.The number of hours of sunlight in a day can be modeled by a sinusoidal function. In the northern hemisphere, the longest day of the year occurs at the summer solstice and the shortest day occurs at the winter solstice. In 2000, these dates were June 22 (the 172nd day of the year) and December 21 (the 356th day of the year), respectively.  A town experiences 11.12 hours of sunlight at the summer solstice and 8.21 hours of sunlight at the winter solstice. Find a sinusoidal function  that fits the data, where x is the day of the year. (Note: There are 366 days in the year 2000.)

A. y = 1.455 sin  + 9.665
B. y = 11.12 sin  + 9.665
C. y = 11.12 sin  + 8.21
D. y = 1.455 sin  + 9.665

Mathematics

Find the quadratic function that fits the set of data points.(-3, 1), (2, -24), (-2, 0)

A. f(x) = -x2 - 6x - 8 B. f(x) = x2 + 6x + 1 C. f(x) = 2x2 - 6x + 8 D. f(x) = -x2 + 3x + 1

Mathematics

Sketch a typical level surface for the function.f(x, y, z) = 

A.

B.

C.

D.

Mathematics