CommonFinalExam-MATH1241-Spring2010

CommonFinalExam-MATH1241-Spring2010 - Part I(MULTIPLE...

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Unformatted text preview: Part I (MULTIPLE CHOICE, CALCULATORS NOT ALLOWED) . 1. The limit lim x →-∞ ( 2 x 2 + x- 1 ) (a) is equal to 2. (b) is equal to ∞ . (c) is equal to- 2. (d) is equal to-∞ . (e) is equal to- 1. 2. The limit lim x → 1 5 + x 10 x- 2 (a) is equal to- 1 2 . (b) is equal to 1 10 . (c) is equal to ∞ . (d) is equal to 0. (e) is equal to-∞ . 3. The limit lim x →-∞ x 2 e x (a) is equal to 1. (b) is equal to 0. (c) is equal to- 1. (d) is equal to-∞ . (e) is equal to ∞ . 4. The limit lim x →- 3 x 2 + 6 x + 9 x 2 + 2 x- 3 (a) is equal to- 1. (b) is equal to 3 2 . (c) is equal to 0. (d) is equal to- 3. (e) does not exist. 1 5. The limit lim x → 2 x √ x + 1- 1 (a) is equal to- 2. (b) is equal to 0. (c) is equal to 2. (d) is equal to 4. (e) is equal to ∞ . 6. The limit lim x → 5- | x- 5 | x- 5 (a) is equal to- 1. (b) is equal to 0. (c) is equal to 1. (d) is equal to ∞ . (e) is equal to-∞ . 7. The limit lim x → sin(4 x ) 2 x (a) is equal to 0. (b) is equal to 1. (c) is equal to 2. (d) is equal to ∞ . (e) is equal to-∞ . 8. d dx (2 x sin( x )) = (a) 2 x . (b) 2sin( x ). (c) 2 x cos( x ). (d) 2sin( x ) + 2 x cos( x ). (e) 2sin( x ) + 2cos( x ). 9. The derivative of function f ( x ) = (5 x 2- 2 x ) 3 (a) is f ( x ) = (5 x 2- 2 x ) 3 . (b) is f ( x ) = 3(10 x- 2) 2 . (c) is f ( x ) = 10(5 x 2- 2 x ) 2 . (d) is f ( x ) = (30 x- 6)(5 x 2- 2 x ) 2 . (e) is f ( x ) = (10 x- 2)(5 x 2- 2 x ) 2 . 2 10. The derivative of function f ( t ) = 1 √ 2 t (a) is f ( t ) =- 1 2 t √ 2 t . (b) is f ( t ) =- 1 √ 2 t . (c) is f ( t ) =- 2 √ 2 t . (d) is f ( t ) = 1 2 t √ 2 t . (e) is f ( t ) = 1 √ 2 t . 11. If g ( θ ) = tan 2 (5 θ ), then g ( θ ) = (a) 2tan(5 θ ). (b) 2tan(5 θ )sec 2 (5 θ ). (c) 10tan(5 θ )sec 2 (5 θ ). (d) 10tan 2 (5 θ )sec(5 θ ). (e) 10tan 2 (5 θ )sec 2 (5 θ ). 12. If y = 5 x x 3- 4 , then dy dx = (a) 5 3 x 2 . (b) 5 3 x 2- 4 . (c) x 4- 15 x 3- 4 x ( x 3- 4) 2 . (d) 20 x 3- 20 ( x 3- 4) 2 . (e)- 10 x 3- 20 ( x 3- 4) 2 . 13. The derivative of function f ( x ) = x 2 + 4 x + 3 √ x (a) is f ( x ) = 3 2 x 1 2- 2 x- 1 2 + 3 2 x- 3 2 . (b) is f ( x ) =- 3 2 x 1 2 + 2 x- 1 2- 3 2 x- 3 2 . (c) is f ( x ) =- 3 2 x 1 2- 2 x- 1 2 + 3 2 x- 3 2 . (d) is f ( x ) = 3 2 x 1 2 + 2 x- 1 2- 3 2 x- 3 2 . (e) is none of the above. 3 14. If f ( x ) = sin( x ) e 2 x , then the second derivative f 00 ( x ) is equal to (a)- sin( x ) e 2 x . (b)- 4sin( x ) e 2 x . (c)- sin( x ) e 2 x + 2cos( x ) e 2 x . (d)- sin( x ) e 2 x + 2cos( x ) e 2 x + 4sin( x ) e 2 x . (e)- sin( x ) e 2 x + 4cos( x ) e 2 x + 4sin( x ) e 2 x . 15. The derivative of function f ( x ) = ln x- 1 √ x + 2 (a) is f ( x ) = √ x +2 x- 1 ....
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CommonFinalExam-MATH1241-Spring2010 - Part I(MULTIPLE...

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