Solve, finding all solutions.sec x =  (Express your answer in radians.)

A.  + 2k? and   + 2k?, where k is any integer
B.  + 2k? and   + 2k?, where k is any integer
C.  + 2k? and   + 2k?, where k is any integer
D. 2k? and ? + 2k?, where k is any integer


Answer: B

Mathematics

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Find a general term an for the geometric sequence.a1 = -  and r = -9

A. an = -  - (n - 1)
B. an = n-1 + 
C. an = -  ? (-9)(n-1)
D. an = -  + (n - 1)

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Sketch the vectors u and w with angle ? between them and sketch the resultant. = 50,  = 12, ? = 35°

A.

B.

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Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 16y2 + 6x - 128y - 263 = 0

A. center at (-3, -4)
transverse axis is parallel to y-axis
vertices at (-3, -8) and (-3, 0)
foci at (-3, -4 - ) and (-3, -4 + )
asymptotes of y - 4 = - 4(x - 3) and y - 4 = 4(x - 3)
B. center at (-4, -3)
transverse axis is parallel to x-axis
vertices at (-8, -3) and (0, -3)
foci at (-4 - , -3) and (-4 + , -3)
asymptotes of y + 3 = - (x + 4) and y + 3 = (x + 4)
C. center at (-3, -4)
transverse axis is parallel to x-axis
vertices at (-7, -4) and (1, -4)
foci at (-3 - , -4) and (-3 + , -4)
asymptotes of y + 4 = - (x + 3) and y + 4 = (x + 3)
D. center at (-3, -4)
transverse axis is parallel to x-axis
vertices at (-4, -4) and (-2, -4)
foci at (-3 - , -4) and (-3 + , -4)
asymptotes of y + 4 = - 4(x + 3) and y + 4 = 4(x + 3)

Mathematics

Solve the problem. Use 3.14 as the approximate value of ?. Round to the nearest tenth unless otherwise indicated.The foundation for a cylindrical water tank is a cylinder 21 in in diameter and 3 in high. How many cubic in of concrete are needed to build the foundation?

A. 4,154.2 in3  B. 395.6 in3  C. 2,077.1 in3  D. 1,038.6 in3 

Mathematics