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2 4 . [5 points] Given fl f(:r) d1 = 6, and e 411(3) dar = 3, nd the value of f; f(:r) (51: (A)

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2 4 . [5 points] Given fl f(:r) d1 = 6, and e 411(3) dar = 3, nd the value of f; f(:r) (51: (A) 10 (B) 10 (C) 12 (D) 12 (I) none of the above . [5 points] If flaztrr2 2) d1: : 1, then k : (A) 3+, (B) a (C) E (D) a 400 (E) 14 (F)14 (G) 13 (H)18 (E) % (F) none of the above . [5 points] :7; = W is a marginalrevenue function. Find the demand function. Hint: you can assume that revenue : 0 when quantity 2 0. (A) 1% (B) 1% (0} % (D) $ (E) $ (F) none ofthe above . [5 points] Given the integral f :r""eg'\"r3 afar, where n is a whole number 2 9, which of the following options successfully solves for this integral? (A) Solve by parts nl times (B) Solve by parts n times (C) Solve by parts n+1 times (D) Solve by parts nl times usub once (E) none of the above 5. [2 points] Given fan/9 :r dsr, what integration technique(s) can we use to solve? \"by inspection\" means it is a standard integration formula found in your textbook (i.e. the power rule for integration) (A) by inspection (B) u-sub (C) integration by parts (D) A353 (E) A850 (F) B350 (G) A&B&C (H) none of the above . [18 points total: 3 points for each correct, 0 for incorrect answer or no answer] Answer \"True\" or \"False\" for each of the following: For any integral below, you may assume that the function f is continuous everywhere. (i) Edmund} 9(3) + 5m = mm 154 mm _ f4 g(:r)d:r: + 50: J u I 1 d5 (u) 1.: ,(Mwa 117\") ' In =sz (iii) I: Hi) dc: = 0 {iv} IS f(u(=r}}u'(=r) air = U uHull (V) I: f'(:r) air = M) - u} (vi) Solving an indenite integral using different integration techniques will give you the same + 0 value

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