Find the magnitude and direction angle (to the nearest tenth) for the given vector. Give the measure of the direction angle as an angle in [0, 360°).

A. 36; 150°
B. 36; 30°
C. 18; 150°
D. 18; 330°


Answer: C

Mathematics

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Find an equation for the line that passes through the given point and satisfies the given conditions.P = (9, 7); parallel to v = 6i - 5j

A. 6x - 5y = 19 B. -5x - 6y = -87 C. 6x - 5y = 61 D. y - 7 = 4(x - 6)

Mathematics

Find the Taylor polynomial of order 3 generated by f at a.f(x) = x3, a = 3

A. P3(x) = 108 + 27(x - 3) + 6(x - 3)2 + (x - 3)3 B. P3(x) = 6 + 3(x - 3) + (x - 3)2 + (x - 3)3 C. P3(x) = 27 + 9(x - 3) + 9(x - 3)2 + (x - 3)3 D. P3(x) = 27 + 27(x - 3) + 9(x - 3)2 + (x - 3)3

Mathematics

Find the expected value of the random variable.The random variable X is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is given in the table.

A. 3.35 B. 3.60 C. 3.50 D. 3.40

Mathematics

Graph the function.y =  sec   

A.

B.

C.

D.

Mathematics