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

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.