Find all solutions of the equation in the complex number system.x4 - 16 = 0
A. {2i, -2i}
B. {-2, 2, 2i, -2i}
C. {2, 2i}
D. {-2, 2}
Answer: B
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (cos 5t)i + (4 sin t)j
A. a = (-5 cos 5t)i + (4 sin t)j B. a = (-25 cos 5t)i + (-4 sin t)j C. a = (-25 cos 5t)i + (-16 sin t)j D. a = (25 cos 5t)i + (-4 sin t)j
Factor the square of the binomial.a3 - 6a2 + 9a
A. a(a - 3)(a + 3) B. a(a - 1)(a + 9) C. a(a - 3)2 D. (a2 - 3)(a + 3)
Use the Binomial Theorem to expand the binomial.(x+ 4y)4
A. x4 + 16x3y + 96x2y2 + 256xy3 + 256y4 B. x4 + 4x3y + 6x2y2 + 4xy3 + y4 C. x4 + 16x3y + 96x2y2 + 16xy3 + 256y4 D. x4 + 4x3y + 96x2y2 + 128xy3 + 256y4
Solve the problem.Rooms in Dormitory A each have 120 square feet of floor space. These rooms have twice as much floor space as each room in Dormitory B. Determine about how much floor space a room in Dormitory B has by solving the equation 2x = 120.
A. 122 sq. feet B. 118 sq. feet C. 60 sq. feet D. 240 sq. feet