Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
+
= 1
-
= 0
A.
B.
C.
D. ?
Answer: A
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Find parametric equations for the line described below.The line through the point P(1, 2, 4) and parallel to the line x = 3t + 4,
A. x = 3t - 1, y =3t - 2, z = 4t - 4 B. x = 3t + 1, y = 3t + 2, z = 4t + 4 C. x = 3t + 1, y = -3t, z = 4 D. x = 1, y = 4t + 2, z = -3t + 4
Find the first three nonzero terms of the Maclaurin series for the given function and the values of x for which the series converges absolutely.f(x) = (cos x) ln(1 + x)
A. x - -
+ ..., -1 < x < 1
B. x - -
+ ..., -1 < x < 1
C. x - +
+ ..., -1 < x < 1
D. x - -
+ ..., -1 < x < 1
Find the volume by double integration.A design for a storage shed has a rectangular base. A cross section of the roof and sides is a parabola of the form The base has dimensions 4 m by 9 m.
A. 96 m3 B. 163 m3 C. 24 m3 D. 192 m3
Factor completely.x4 - 144
A. (x2 + 12)2 B. (x - 12)(x + 12) C. (x2 - 12)2 D. (x2 - 12)(x2 + 12)