Math 140 Final ExamName___________________________________Must show all pertinent work on separate...

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Math 140 Final ExamName___________________________________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.1)a(3x8- 7x3+ 4) dx1)A)9x9-73x4+ 4x+ CB)13x9-74x4+ 4x+ CC)9x9-74x4+ 4x+ CD)13x9-73x4+ 4x+ C2)a11x-6 dx2)A)55x5+ CB)115x7+ CC)-66x-7+ CD)-115x-5+ C3)a12x3x dx3)A)247x9/2+ CB)29x9/2+ CC)115x9/2+ CD)83x9/2+ C4)a6+x2xdx4)A)3x2+x2+ CB)6x2+x2+ CC)6 lnx+12x2+ CD)6 lnx+13x3+ C5)a9e 0.2x dx.5)A)9e0.2x+ 10.2x+ 1+ CB)9e0.2x+ CC)18e0.2x+ CD)45e0.2x+ C6)a(5+x3)(4-x2) dx6)A)20x-53x3+53x4-16x6+ CB)20x-53x3+x4-16+ CC)20x-53x3+x4-16x6+ CD)20-53x3+x4-16x6+ C17)ae7x+4 dx7)A)7e7x+ 4+ CB)e7x+ CC)(7x+ 4)e7x+ 4+ CD)17e7x+ 4+ C8)at334+t4 dt8)A)38t4(4+t4)2/3+ CB)316(4+t4)2/3+ CC)18(4+t4)2+ CD)38(4+t4)2/3+ C9)ax25x3+ 8 dx9)A)115 ln5x3+ 8+ CB)15 ln (5x3- 8)+ CC)15 ln5x3+ 8+ CD)15 ln5x3+ 8+ CEvaluate the integral.10)a214x-5xdx(Round to three decimal places.)10)A)3.001B)12.846C)7.505D XXXXXXXXXXa204x+ 14x2+ 2x+ 2 dx(Round to three decimal places.)11)A)1.778B)1.199C)1.040D)2.398Find the total area of the region between the curve and the x-axis.12)y=x2- 6x+ 9; 2K xK 412)A)73B)23C)43D)1313)y=(x+4)3; 0K xK413)A)3840B)144C)960D)10242
	
Document Preview: 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
 XXXXXXXXXX
-7 -5
A) + C B) + C C) -66x + C D) - x + C
x 5x 5
3
3) 12x x dx 3)

XXXXXXXXXX
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)

XXXXXXXXXX
 XXXXXXXXXX
20x- x + x - x + C 20x- x + x - + C
A) B)
 XXXXXXXXXX
5 1 5 1
 XXXXXXXXXX
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 XXXXXXXXXXB XXXXXXXXXXC XXXXXXXXXXD) 1.410
2
4x+ 1
11) dx 11)

2
4x + 2x+ 2
0
(Round to three decimal places.)
A XXXXXXXXXXB XXXXXXXXXXC XXXXXXXXXXD) 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
 XXXXXXXXXX
 ln ln ln 2 ln 7
A) B) C) D)
 XXXXXXXXXX
cos x dx
16) 16)

1 + 5 sin x
A) ln 1+ 5 sin x + C B) 5 ln 1+...

Robert · Accepted Answer

Solution 1: 
  ∫(         )   
  
   
 

 
      
  
  
 

 
      
Hence option B 
Solution 2: 
  ∫        
  
     
  
   
   
  
 
      
Hence option D 
Solution 3: 
  ∫    √    
  ∫     

  ∫   

  

  
 
 

Hence option D 
Solution 4: 
  ∫
    
 
   
  ∫(
 
 
  )   
       
  
 
   
Hence option C 
Solution 5: 
  ∫         
  
      
   

Hence option D 
Solution 6: 
  ∫(    )(    )   
  ∫(             )   
      
   
 

 

 
   
      
   
 

 
   
Hence option C 
Solution 7: 
  ∫        
  
     
 
   
Hence option D 
Solution 8: 
  ∫
  
√    
    
Let
  ∫
 
 √ 
    
  ∫
 
 

 

  
 
 
(    )

Hence option D 
Solution 9:

Math 140 Final ExamName___________________________________Must show all pertinent work on separate paper. Put answers on Scantron.MULTIPLE CHOICE. Choose the one alternative that best completes the...

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