Show a\" work! Decimal answers can be rounded to 3 decimal places. Use a graphing utility to find intercepts, relative extrema, points of inection and asymptotes for # 14. (1+2) 2 f(r)=(512+4x+10) 1"X}=(3x5) (ix5) 2 3. f(x}= (2.x2 3] 4. for) = [X3 6x3 +3x+3l 5. An open box is made from a rectangular piece of material by cutting equal squares from each corner and turning up the sides. Find the dimensions ofthe box with maximum volume ifthe piece ofmaterial is 10 inches by 2 inches. 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the measurements are correct to within 0.25 feet, use differentials to estimate the propagated error in the area of the yard. 7. Find the price per unit p that produces the maximum prot given C = 2500 T53: + 0.04.762 and p = 2000 0.63:2 . Use P = xpC