Use a graphing utility to find the limit, if it exists.

A.
B. 0
C. Does not exist
D.


Answer: A

Mathematics

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Find the unit tangent vector of the given curve.r(t) = (4 sin3 2t)i  + (4 cos3 2t)j

A. T = (4 cos 2t)i  - (4 sin 2t)j B. T = (4 sin 2t)i  - (4 cos 2t)j C. T = (24 sin 2t)i  -(24 cos 2t)j D. T = (sin 2t)i  - (cos 2t)j

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Factor out the largest common factor.4x(5x - 2) + 3(5x - 2)

A. (20x - 3)(x + 2) B. (20x + 3)(x - 2) C. (5x - 2)(4x + 3) D. (5x + 2)(4x - 3)

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Find the area of the triangle. If necessary, round the answer to two decimal places.a = 11, b = 12, c = 17

A. 68.73 B. 65.73 C. 71.73 D. 74.73

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Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x4 - 8x3 + 17x2 + 2x - 24

A. (x + 1)(x - 2)(x - 3)(x - 4); -1, 2, 3, 4 B. (x - 1)(x + 2)(x + 3)(x + 4); 1, -2, -3, -4 C. (x - 1)(x - 2)(x - 3)(x - 4); 1, 2, 3, 4 D. (x + 1)(x + 2)(x + 3)(x - 4); -1, -2, -3, 4

Mathematics