# Questions & Answers

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- Assume that a procedure yields a binomial distribution.
- Find the points on the cone z^2 = x^2 + y^2 that are closest to the point (2,2,0).
- Let x represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. What are the possible values of X?
- Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.
- A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground.
- Find the parametric equation of the line through a parallel to b.
- Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, -1), B(3, -2, 0), C(1, 3, 3).
- Find the differential of each function. (a) y=tan (7t), (b) y=3-v^2/3+v^2
- Determine if the columns of the matrix form a linearly independent set. Justify each answer.
- Solve the equation explicitly for y and differentiate to get y’ in terms of x.
- Find the vectors T, N, and B at the given point. r(t)=< t^2,2/3 t^3,t > and point < 4,-16/3,-2 >.
- Find a nonzero vector orthogonal to the plane through the points P, Q, and R, and area of the triangle PQR.