MTH 240 Final: MTH240 – W2007 Final
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Instructions: have your student card available on your desk. Notes, calculators and other aids are not permitted. Unjus- ti ed answers will be given little or no credit. Cross out or erase all rough work not relevant to your solution: present your solutions neatly and legibly in the space provided. Messy or illegible solutions will receive no credit: if you need more space, use the back of the page. Indicate this fact on the original page, making sure that your solution cannot be confused with any rough work which may be there. 3: (4+4) solve the di erential equations. (a) dy dx xy x2 + 4 y(0) = 8 (b) dy dx 3x2y = ex3. 4: (4+4+4) evaluate the following integrals (a) Mth240 final exam: (4+6) (a) express the following integral as an in nite series. Find the third degree taylor polynomial for f (x) centered at 1.