Factor the trinomial or state that the trinomial is irreducible.6x2 - 29x + 20
A. irreducible
B. (6x + 15)(6x - 5)
C. (x - 4)(6x - 5)
D. (x + 4)(6x - 5)
Answer: C
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = i +
j + 3tk
A. T = (cos 0.8t)i -
(sin 0.8t)j ; N = (-sin 0.8t)i - (cos 0.8t)j
B. T = (cos 0.8t)i -
(sin 0.8t)j +
k ; N = (-sin 0.8t)i - (cos 0.8t)j
C. T = (sin 0.8t)i -
(cos 0.8t)j ; N = (-sin 0.8t)i - (cos 0.8t)j
D. T = (cos 0.8t)i -
(sin 0.8t)j +
k ; N = (-sin 0.8t)i - (cos 0.8t)j
Graph the parabola and its vertex, focus, and directrix.x2 = 8y
A.
B.
C.
D.
Eliminate the parameter to obtain a Cartesian equation of the curve.x = 3 sin t, y = 3 cos t, 0 ? t ? 2?
A. y = x2 - 9, -2 ? x ? 2
B. x2 + y2 = 9, -3 ? x ? 3
C. y = = 9, -? < x < ?
D. y2 - x2 = 9, -? < x < ?
In an isosceles triangle, two sides are three times the length of the third side. Find the length of the SHORTEST side if the perimeter is 28 feet. ?
A. 7 feet B. 6 feet C. 4 feet D. 3 feet