150finalexamBsolutions

150finalexamBsolutions - Math 150 Final Exam Form B...

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Math 150 Final Exam Form B Solutions 1. (a) 5 crosses at 0 5 crosses at 6 crosses at 1 resembles for large values of x x x x x = = = (b) () ( ) 0.539,0.127 and 0.928, 0.033 2. (a) basic function , horizontal shift left 8, flip the graph upside down, vertical shift up 2. x (b) ( ) ( ) a 10,0 , b 8,2 , and c 6,0 =− = 3. [ ) 5, 1 7, −− U 4. (a) ln(3) 5ln(5) 1.8254 ln(5) 2ln(3) x =≈ + (b) 9 5.2378 1 x e
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5. (a) 5cos(6 6 ) yx =− π , 5cos(6 ) y x = or others (b) () a 0,5 , b ,0 , c , 5 , d ,0 , e ,5 12 6 4 3 ππ ⎛⎞ ⎞⎛ == = = = ⎜⎟ ⎟⎜ ⎝⎠ ⎠⎝ 6. 2 a , 1, b ,1, c d 0 ,1 33 2 e, 1 , f , 1 , g , 1 −π =π− = = = = = π are all turning points 55 , , , , , and 62 6 6 2 6 x − π −π −π π π π = are all vertical asymptotes The transformations are a shift left by 6 π , and the period becomes 2 3 π
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7.
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150finalexamBsolutions - Math 150 Final Exam Form B...

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