Math 140 Final Exam Name___________________________________ Must show all pertinent work on separate paper. Put answers on Scantron. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the integral. 8 3 1) (3x - 7x + 4) dx 1) 7 1 7 9 4 9 4 A) 9x - x + 4x+ C B) x - x + 4x+ C 3 3 4 7 1 7 9 4 9 4 C) 9x - x + 4x+ C D) x - x + 4x+ C 4 3 3 -6 2) 11x dx 2) 5 7 55 11 11 -7 -5 A) + C B) + C C) -66x + C D) - x + C x 5x 5 3 3) 12x x dx 3) 24 2 11 8 9/2 9/2 9/2 9/2 A) x + C B) x + C C) x + C D) x + C 7 9 5 3 2 6 + x 4) dx 4) x 3 6 2 2 A) + x + C B) + x + C 2 2 x x 1 1 2 3 C) 6 ln x + x + C D) 6 ln x + x + C 2 3 0.2x 5) 9e dx. 5) 0.2x + 9e 1 0.2x 0.2x 0.2x A) + C B) 9e + C C) 18e + C D) 45e + C 0.2x+ 1 3 2 (5+ x )(4- x ) dx 6) 6) 5 5 1 5 1 3 4 6 3 4 20x- x + x - x + C 20x- x + x - + C A) B) 3 3 6 3 6 5 1 5 1 3 4 6 3 4 6 C) 20x- x + x - x + C D) 20- x + x - x + C 3 6 3 6 1+ 7x 4 7) e dx 7) 7x+ 4 7x A) 7e + C B) e + C 1 7x+ 4 7x+ 4 e + C C) (7x+ 4) e + C D) 7 3 t 8) dt 8) 3 4 4+ t 3 3 2/3 2/3 4 4 4 t (4+ t ) + C (4+ t ) + C A) B) 8 16 1 3 2/3 4 C) + C D) (4+ t ) + C 2 8 4 8(4+ t ) 2 x 9) dx 9) 3 5x + 8 1 3 3 A) ln 5x + 8 + C B) 15 ln (5x - 8)+ C 15 1 3 3 C) ln 5x + 8 + C D) 15 ln 5x + 8 + C 5 Evaluate the integral. 2 5 10) 4 x- dx 10) x 1 (Round to three decimal places.) A) 3.001 B) 12.846 C) 7.505 D) 1.410 2 4x+ 1 11) dx 11) 2 4x + 2x+ 2 0 (Round to three decimal places.) A) 1.778 B) 1.199 C) 1.040 D) 2.398 Find the total area of the region between the curve and the x-axis. 2 12) y= x - 6x+ 9; 2 x 4 12) 7 2 4 1 A) B) C) D) 3 3 3 3 3 13) y= (x+ 4) ; 0 x 4 13) A) 3840 B) 144 C) 960 D) 1024 2Find the inverse of the function. 3 14) f(x)= 2x - 8 14) 3 3 x+ 8 x -1 -1 A) f (x)= B) f (x)= + 8 2 2 3 x- 8 -1 C) Not a one-to-one function D) f (x)= 2 Evaluate the integral. 2 4 x + 1 15) dx 15) 5 x + 5x 1 1 3 1 1 1 1 ln ln ln 2 ln 7 A) B) C) D) 5 34 5 2 2 5 cos x dx 16) 16) 1 + 5 sin x A) ln 1+ 5 sin x + C B) 5 ln 1+...
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