Determine whether the pair of lines is parallel, perpendicular, or neither.y = -
x + 4y =
x + 4
A. Parallel
B. Perpendicular
C. Neither
Answer: B
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Find the indicated cardinal number.Find n(A) given that n(A × B) = 22 and n(B) = 2.
A. 11 B. 20 C. 2 D. 24
The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds).s = 12 sin t - cos tFind the body's acceleration at time t = ?/4 sec.
A. - m/sec2
B. m/sec2
C. - m/sec2
D. m/sec2
Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = i + 2j, w = 3i + j
A. v1 = (3i + j), v2 = -
i +
j
B. v1 = (3i + j), v2 =
i +
j
C. v1 = (3i + j), v2 =
i +
j
D. v1 = (3i + j), v2 = -
i +
j
Solve the problem.Evaluate at (u, v) = (5, 3) for the function w(x, y) = xy2 - ln x; x = eu+v, y = uv.
A. -1 B. 675e8 - 1 C. 300e8 - 1 D. 375e8 - 1