Find the limit , if it exists.

What will be an ideal response?


Does not exist

Mathematics

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Find the work done by a force F= i+5j+7k that moves an object from the point (1,0,3) to the point (5,3,8) along a straight line. The distance is measured in meters and the force in newtons.

Mathematics

Find the vertex, focus, and directrix of the parabola with the given equation.(y - 4)2 = -16(x - 2)

A. vertex: (4, 2)   focus: (0, 2)   directrix: x = 8 B. vertex: (-2, -4)   focus: (-6, -4)   directrix: x = 2 C. vertex: (2, 4)   focus: (6, 4)   directrix: x = -2 D. vertex: (2, 4)   focus: (-2, 4)   directrix: x = 6

Mathematics

Solve the problem.A pendulum swings through an arc of length 80 inches on its first swing. On each successive swing, the length of the arc is  the length of the arc on the preceding swing. Find the length of the arc on the fourth swing, and find the total arc length for the first four swings. Round to two decimal places.

A. 15.80 in.; 168.89 in. B. 15.80 in.; 192.59 in. C. 23.70 in.; 168.89 in. D. 23.70 in.; 192.59 in.

Mathematics

Find the first six terms of the sequence.a1 = 4, a2 = 5; for n ? 3, an = an-1 + an-2

A. 4, 5, 9, 10, 14, 14 B. 4, 5, 20, 100, 2000, 200,000 C. 4, 5, 8, 12, 16, 20 D. 4, 5, 9, 14, 23, 37

Mathematics