1. prove that the vector 5a + 6b + 7c, 7a - 8b + 9c, and 3a + 20b + 5c are coplanar vector.
2. write the relation between derivative and anti-derivative.
3. is the function f: [1,4) to R, defined by f(x) = x^2 bijective? justify your answer.
4. write inverse and contrapositive of the statement. "If ABC is a triangle, then sum of all three angles is 180."
5. solve the inequality [x(x+2)]/(x-1) <0
6. find the domain and range of function f(x) = (|x-1|)/(x-1).
7. a rubber ball is dropped from a height of 16 ft. at each rebound, it rises to a height, which is (3/4)th of the height of the previous fall. what is the total distance through which the ball will have moved before it finally comes of rest?
8. write the criteria for a function y=f(x) to local maxima a d local minima at a point x=a. find the local maxima and minima of the function f(x)=2x^4 -9x^2 - 24x +3. also find the point of inflection (if it exists).
9. find from definition the derivative of (cos x)^1/2

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