Can you solve this 10 questions in 3 hours and how much?

1. Find the standard form of the equation of the hyperbola satisfying the given conditions.

foci :(0,-10), (0,10); vertices: (0,-6), (0,6).

2. Identify the equation without completeing the square. 2y^{2} -3x + 3y = 0

a) hyperbola b) ellipse c) parabola d) circle.

3. Use Demoive's theorem to find the indicated power of the complex number, write the answer in rectangular.

[2(cos 15 degree + i sin 15 degree)]4.

4. Find the given given function of f and g . find the indicated composition (f degree g) (x)

f(x) 7/x+1 g(x) = 4/5x.

5. Polar cordinate of point are given, find the rectangular cordinates of the point [9, 3n/4].

6. find the exact value by using a sum or difference identity. sin 105 degree.

7.Use Descartees's rule of signs to determine the possible number of positive and negative real zeros for the given function: f(x) = -4x^{5 }+ x^{3} - x^{2} + 1.

8. Find the angle between the given vectors, round the nearest tenth of a degree. u + i-j, v=3i +4j.

9.Use a sketch to find the exact value of the expression. Express as a rational number ( not decimal).

cos{sin -1 4/5}.

10. Two sail boat leave a habour in the bahamas at the same time first sail at 23 mph in direction 3.30 degree, the second sails at 30mph in direction 210 degree, assuming that both boats speed and heading after 2 hours how far apart are the boats.

a) 64.7 miles b) 92.1miles c)75 miles d) 88.8miles.

Subject | Mathematics |

Due By (Pacific Time) | 07/02/2013 08:00 pm |

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