Consider the equation xex = cos x. (a) Find a interval [a, b] containing a root α. (b) Calculate the first three iterations c1, c2 and c3 of the bisection method by hand using a and b from part (a) and = 10−4. (c) What is the minimum number of iterations required to find α within an accuracy of 10−6

Will mark determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points r, s, and t conjecture: r, s, and t are coplanar. a) false; the points do not have to be in a straight line. b) true c) false; the points to not have to form right angles. d) false; one point may not be between the other two.