154E3-S2011

# 154E3-S2011 - MA 15400 Spring 2011 Exam 3 C LAW OF SINES...

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MA 15400 Spring 2011 Exam 3 LAW OF SINES LAW OF COSINES sin α a = sin β b = sin γ c c 2 = a 2 + b 2 2 ab cos ANGLE BETWEEN TWO VECTORS: cos θ = ( r a ) ( r b ) r a r b α β γ A B C c a b

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MA 15400 Exam 3 Spring 2011 Covers Lessons 23 to 34, which starts with question #53 of Section 7.6 and then all of Sections 8.1, 8.2, 8.3, and 4.5. 1 Sketch the function and answer questions 1 and 2: ( ) 15 2 8 2 2 2 = x x x x x f 1. What are the vertical asymptotes of the function? A. 5, 3 x x = − = B. 4 , 2 = = x x C. 5, 3 x x = = − D. 4 , 2 = = x x E. None of the above 2. In which intervals is ( ) ? 0 > x f A. ( ) ( ) ( ) , 5 4 , 2 3 , B. ( ) ( ) 5 , 4 2 , 3 C. ( ) ( ) , 5 4 , 2 D. ( ) ( ) ( ) , 5 0 , 3 3 , E. None of the above
MA 15400 Exam 3 Spring 2011 Covers Lessons 23 to 34, which starts with question #53 of Section 7.6 and then all of Sections 8.1, 8.2, 8.3, and 4.5. 2 3. If 2 , 1 = s , which vector best represents –2 s ? A. A B. B C. C D. D E. E 4. Approximate, to four decimal places, the solution(s) of the equation that are in the interval 2 , 2 π . (Warning: Check the mode of you calculator) 2 3tan 7tan 3 0 u u + + = A. 7032 . 2 , 3699 . 0 B. 0559 . 1 , 5148 . 0 C. 7676 . 1 , 5657 . 0 D. 2165 . 1 , 3543 . 0 E. None of the above.

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154E3-S2011 - MA 15400 Spring 2011 Exam 3 C LAW OF SINES...

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