WA10 - A = 2ᶋ(x-1 –(x-1 1/3 dx =2(x 2/2 – x-3/4(x-1...

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Robert E Goode MAT-231-GS004 Mentor: Dr. Paoletti 11/04/2011 Writing Assignment #10 Section 7.1 (2,4,6,8,12,20,22,24,26,28,30,32,34,36,40,44,50) 2. A = ᶋ[2x+5] – [x 2 +2x+1] dx =ᶋ (-x 2 +4) dx 4. A = ᶋ (x 2 -x 3 ) dx 6. A = 2ᶋ (x-1) 3 – (x-1) dx 8. ᶋ (1-x 2 ) – (x 2 -1) dx 12. ᶋ (sec 2 x – cos x) dx 20. The points of intersection are given by: -x 2 +4x+1 = x+1 -x 2 +3x = 0 X 2 = 3x when x = 0,3 A = ᶋ(-x 2 +4x+1) – (X+1) dx = ᶋ (-x 2 +3x)dx =9/2 22.
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The points of intersection are given by: -x 2 +4x+2 = x+2 X(3-x) = 0 when x = 0,3 A = ᶋ [f(x) – g(x)] dx = ᶋ-x 2 +4x+2 –x -2 dx = ᶋ(-x 2 +3x)dx = 9/2 24. A = ᶋ (1/x 2 – 0) dx = [-1/x] = 4/5 26. The points of intersection are given by: √(x-1) = x-1 x-1 = (x-1) 3 = x 3 -3x 2 +3x-1 x 3 -3x 2 +2x=0 x(x 2 -3x+2)=0 x(x-2)(x-1)=0 therefore x = 0,1,2
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Unformatted text preview: A = 2ᶋ (x-1) – (x-1) 1/3 dx =2(x 2 /2 – x -3/4(x-1) 4/3 ) =2[(1/2-1-0) – (-3/4)] =1/2 32. A= ᶋ(4-4/(2-x)dx = 4x +4ln{2-x) =4-4ln2 = 1.227 34. X 3-2x+1 = -2x X 3 +1 = 0 when x=-1 A = ᶋ(fx – gx) dx = ᶋX3-2x+1+2x dx = ᶋ X 3 +1 dx = X 4 /4 +X =2 36. X 4-2x 2 = 2x 2 X 2 (x 2-4)= 0 when x = 0,2,-2 A=2ᶋ2x 2-(x 4-2x 2 ) dx =2ᶋ4x 2-x 4 dx =2[4x 3 /3 – x 5 /5 = 128/15 40. A = ᶋ6x/(x 2 +1) – 0 =[3ln(x 2 +1)] = 3 ln 10 = 6.908 Numerical approximation is 6.908 44. A = ᶋ(cos2x – sinx) dx =[1/2sin2x +cosx] =(√3/4 +√3/2) – 0 =3√3/4 = 1.299 50. A= ᶋ (2sinx+cos2x) dx =[ -2cosx +1/2 sin 2x] = 4 Numerical approximation is 4...
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WA10 - A = 2ᶋ(x-1 –(x-1 1/3 dx =2(x 2/2 – x-3/4(x-1...

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