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DIPTI PUBLICATION ( AP EAMET)-PARTIAL FRACTIONS-EXERCISE 1
- (5x^(2)-3x+4)/((x+1)(x^(2)-5x+6))=
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- Resolve (x^(4))/((x-1)(x-2)) into partial fractions.
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- Resolvex^(3)/((2x-1)(x+2)(x-3)) into Partial fractions.
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- x^(3)/((2x-1)(x+2)(x-3))=A+B/(2x-1)+C/(x+2)+D/(x-3) rArr A =
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- (x^(3)-5)/(x^(2)-3x+2)=
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- If (x^(2)+x+1)/(x^(2)+2x+1)=A+B/(x+1)+C/(x+1)^(2) then A - B =
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- ((x-a)(x-b))/((x-c)(x-d))=A/(x-c)-B/(x-d)+C rArr C=
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- If A/(x-1)+B/(x+1)=(6x)/(x^(2)-1), then A =
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- (2x-1)/((x-1)(2x+3))=1/(5(x-1))-k/(5(2x+3)), then k =
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- If (5x+6)/((2+x)(1-x))=11/(3(1-x))+y then y =
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- If (3x+4)/(x^(2)-3x+2)=A/(x-2)-B/(x-1) then (A, B) =
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- If (2x+3)/((x+1)(x-3))=a/(x+1)+b/(x-3), then a + b =
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- If 1/((1-2x)(1+3x))=A/(1-2x)+B/(1+3x), then 2B =
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- ((x+1))/((2x-1)(3x+1))=A/((2x-1))+B/((3x+1)) rArr 16A+9B=
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- If (x^(2)-10x+13)/((x-1)(x^(2)-5x+6))=A/(x-1)+B/(x-2)+C/(x-3), then C ...
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- If (x^(2)+x+1)/(x^(2)+2x+1)=A+B/(x+1)+C/(X+1)^(2), then A+B+C=
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- If x^(4)/((x-1)(x+2))=1/(3(x-1))-16/(3(x+2))+x^(2)-x+k, then k =
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- If (x^(2)+2)/((x^(2)+1)(x^(2)+3))=(Ax+B)/(x^(2)+1)+(Cx+D)/(x^(2)+3) th...
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- If (3x+2)/((x+1)(2x^(2)+3))=A/(x+1)+(Bx+C)/(2x^(2)+3), " then "A+C-B=
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- If 1/(x^(2)-1)=1/k[1/(x-1)-1/(x+1)] " then "k=
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