Solve the problem.The sum of a number and 8 times its reciprocal is 6. Find the number.

A. 4
B. 5
C. 2 or 4
D. 2


Answer: C

Mathematics

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The position vector of a particle is r(t). Find the requested vector.The velocity at t =  for r(t) = 2sec2(t)i - 4tan(t)j + 7t2k

A. v = -8j - ?k
B. v = -8j + ?k
C. v = 8i - 8j + ?k
D. v = 8i + 8j - ?k

Mathematics

Find . Express the answer in standard form.z1 = 5(cos 200° + i sin 200°)z2 = 4(cos 50° + i sin 50°)

A. -10 + 10i
B. -  + i
C. -2 + 2i
D. -  + i

Mathematics

Complete the table of values for the given equation.y = -5

A. 0; 0; 0 B. 0; 2; 4 C. 3; 3; 3 D. -5; -5; -5

Mathematics

Find the standard form of the equation of the ellipse satisfying the given conditions.Center at (0, 0); Focus at (0, 6); Vertex at (0, 7)

A.  +  = 1
B.  +  = 1
C.  +   = 1
D.   +   = 1

Mathematics