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Problems X
  1. The vertex of an elliptic paraboloid x2 + 4y2 - 4x - 8y - 2z + 14 = 0?
  2. The equation of hyperbolic paraboloid is _____?
  3. The circle which passes through the points (-2,3), (5,2) and (6,1) has a radius of _____?
  4. Two circles, whose diameters are 24 meters and 32 meters respectively, intersects. The angle between the tangents at either of the points is 28o57'18.09". Find the distance between the centers of the circles?
  5. Cos (F + p/2) is equal to _____?
  6. What is the linear velocity of a point on the equator in miles per hour? Assuming that the radius of the earth is approximately 4000 miles.
  7. A television tower stands on top of a building. From a point 75.3 feet from the base of the tower are 60.1o and 47.4o, respectively. How tall is the tower?
  8. A boat has a speed of 8 mph in still water attempts to go directly across a river with a current of 3 mph. What is the effective speed of the boat?
  9. It is the rotation required to move one ray, called the initial side of the angle, into coincidence with the other, called the terminal side.
  10. What is cosF Cosa equal to?
  11. Two transmission poles of equal heights are 100m apart on a horizontal level road. From a point on the road located between the poles, the angles of elevation of the top of the poles are 18o30' and 25o20' respectively. Find the height of the poles?
  12. What is Tan2A equal to?
  13. What is the circumference of a circle if the area of the inscribed square is equal to 2 square units?
  14. A straight line perpendicular to each of the two straight lines at their intersection is _____?
  15. What is the uncovered area of the circle inscribed on a square whose side length equal to 2 units?




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