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The answers to the math 241 final exam held in 1998. It includes solutions to various mathematical problems covering topics such as vectors, trigonometry, calculus, and quadratic equations.
Typology: Exams
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(1) (a) ใโ 9 , 6 , โ 2 ใ (b) 11 (c) x = 11 โ 9 t y = 3 + 6t z = 8 โ 2 t
(2) 3 ฯ/ 4
(4) (a) (2, ฯ/ 2 , 2 ฯ/3) (b) (โ 3 , 0 , 0)
(5) xexy
(6) (a) 1 / 12 (b) ฯ/ 4 (c) 2 ฯ
(7) a saddle point
(8) 6 x โ 8 y โ z = 1
(9) Abs. Max. is 10 Abs. Min. is 6
(10) 0
(1) (a) Check that 3(2 โ t) โ t + 4(2 + t) = 14 for all t. (b) 5 x + 7y โ 2 z = 6
(2) Abs. Max. is 11 /
Abs. Min. is โ 11 /
(3) 19 ฯ/ 15
(4) 4 / 3
(5) ฯ/ 2
