ESSAY. You must show your work. Write your answer in the space provided or on a separate sheet of paper. Use Newton's method to approximate all the intersection points of the pair of curves. Some preliminary,r graphing or analysis may help in choosing good initial approximations. Round to six decimal places. ly=ex and y=x2+3 Solve the problem. 1"} Suppose a business can sell 3: gadgets for p = 250 I101 3: dollars apiece. and it costs the business clx} = mac + 25!. dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit. S} The diameter of a tree was 11 in. During the following year. the circumference increased 2 in. About how much did the tree's diameter increase? [Leave your answer in terms of n.) 9} Determine the dimensions of the rectangle of largest area that can he inscribed in a semicircle of radius 3. For the given expression y', rlcl y" and sketch the general shape of the graph of y = x]. 1UIIY'= x25 - xi