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MAT281 Calculus I FINAL EXAM Form MT DO NOT WRITE ON THE EXAM! Show all work! Decimal answers can be rounded to 3 decimal places. Use a graphing utility to find intercepts, relative extrema, points of inflection and asymptotes for # 1-4. _(x+2) (52" +4x+10) l'f(x)_(sxs) A= (5x-5) 3. f@)=(20-3) 4.f() =[ 627 43243 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 of the box with maximum volume if the piece of material 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 profit given C = 2500~ 75x +0.04x\" and p=2000-06x> . UseP=xp-C 8. Find [Ixdr 9. Find [2esc? (3x)dx