Determine whether the given series converges or diverges. If it converges, find its sum.


Answer: 7

Mathematics

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Solve.Two recording devices are set 3200 feet apart, with the device at point A to the west of the device at point B. At a point on a line between the devices, 200 feet from point B, a small amount of explosive is detonated. The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?

A. 1587.45 feet B. 1176.3 feet C. 428.57 feet D. 6148.17 feet

Mathematics

Describe the domain of the function of three or more varables.f(w, x, y, z) = 

A. All points in ?4 that satisfies w2 + x2 + y2 + z2 ? 0. B. All points in ?4. C. All points in ?4 except the origin (0, 0, 0, 0). D. All points in ?4 that satisfy w > 0, x > 0, y > 0, z > 0.

Mathematics

Evaluate the function for the given value. Round to the nearest thousandth.f(x) = -ex; f(-3)

A. -0.050 B. -8.155 C. -0.055 D. -1.099

Mathematics

Multiply and then, if possible, simplify by factoring.

A. 5
B. 25
C. 625
D. 5

Mathematics