Show that the following equations have at least one solution in the given intervals. a. xcosx−2x2+3x−1=0,xcosx−2x 2 +3x−1=0, [0.2, 0.3] and [1.2, 1.3]
b. (x−2)2−lnx=0,(x−2) 2 −lnx=0, [1,2] and [e, 4]
c. 2xcos(2x)−(x−2)2=0,2xcos(2x)−(x−2) 2 =0, [2, 3] and [3, 4]
d. x−(lnx)x=0,[4,5]x−(lnx) x =0,[4,5]