e te form h(x)= A rope or other non-rigid object suspended from its ends will form a catenary, or a function of the However, if the rope is weighted unevenly, the catenary may be deformed. Suppose in a particular case, a rope is indeed weighted unevenly and then left to hang so that it makes 2 0.2x -0.3x +e the shape y(x)=- where y is the vertical position of the rope and x is the horizontal 2 distance from the left-most support. Both are measured in meters. a.) Suppose the left support and the right support are 15 meters apart. Find the horizontal position in which the rope hangs lowest to the ground. Ans: b.) Show that y(x) has no inflection points. c.) Find t'(2,000). What does this value represent? 3.) Use the change of base formula to prove that if y=logx, then y'= 4.) Given 1 1 In(a) x f(x)=(x-1)+5find (x) . Is f a function? How do you know?