Integrate the function f over the given region.f(x, y) =  over the region bounded by the x-axis, line  and curve 

A. 9
B. 1
C. 8
D. 10


Answer: C

Mathematics

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Solve the problem.A team of engineers is testing an experimental high-voltage fuel cell with a potential application as an emergency back-up power supply in cell phone transmission towers. Unfortunately, the voltage of the prototype cell drops with time according to the equation  where V is in volts and t is the time of operation in hours. The cell provides useful power as long as the voltage remains above volts. Use Newton's method to find the useful working time of the cell to the nearest tenth of an hour (that is, solve V(t) = 1.5 volts). Use t = 7 hours as your initial guess and show all your work.

What will be an ideal response?

Mathematics

Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.a = 2; r = -5

A. a5 = -250; an = 2 ? (-5)n B. a5 = -250; an = 2 ? (-5)n-1 C. a5 = 1250; an = 2 ? (-5)n D. a5 = 1250; an = 2 ? (-5)n-1

Mathematics

Find the limit algebraically.

A. 1 B. 3 C. Does not exist D. 6

Mathematics

Solve the problem.One airplane is approaching an airport from the north at 131 km/hr. A second airplane approaches from the east at 264 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 27 km away from the airport and the westbound plane is 25 km from the airport.

A. 1036 km/hr B. 104 km/hr C. 958 km/hr D. 275 km/hr

Mathematics