1. Match the rational functions (a)-(d) with the corresponding partial fraction decompositions (i)–(iv). x² + 4x + 12 (a) (x + 2)(x² + 4) 2x2 + 8x + 24 (b) (x + 2)2(x² +4) x2 – 4x + 8 (c) (x – 1)2(x – 2)2 x4 – 4x + 8 (d) (x +2)(x² + 4) 4 (i) х — 2+ 4х — 4 X +2 x² +4 -8 (ii) (x – 2)2 (х — 1)2 х -x +2 x2 +4 4 (iii) (x + 2)2 (iv) x+2 x2 +4

Q: (a) 9+ 2 X' 4

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Q: g8 – 3z6 + 7r – 16x + 5x + 2r – 7 a3(x – 1)(r2 + 3) 28 – 3.2 + 7x – 16x + 5x³ + 2x - T If f(x) = r6…

A: Given         fx=x8-3x6+7x5-16x4+5x3+2x-7x3x-1x2+3

Q: 4.x3 – (2² +5)² Write out the form of partial fraction decomposition Ax+B Cx+D x² +5 (2² +5)² A B…

A: The procedure of splitting up a rational fraction into two or more than two fraction is called…

Q: 4. Determine the CORRECT partial fractions for Ax+B C A. + (x²+9)² (x-3)² A B B. + (x²+9)²(x-3)²…

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Q: 3. Find the partial fractions of the rational function: 4x +5 x(x - 3)

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Q: The partial fraction decomposition of g(x) x²+4' f(x) x + 3 + where 14x + 3 x³ + 3x² + 4x + 12 can…

A: Partial fraction decomposition of 14x+3x3+3x2+4x+12

Q: Evaluate f 2x 5 (z+2)(z+5) dæ by partial fraction method.

A: I=∫2x−5(x+2)(x+5)dx Using partial fraction we can write 2x-5(x+2)(x+5)=A(x+2)+B(x+5)…

Q: The partial fraction decomposition of f(x) g(x) + where 3 (x + 3) (x² - 4x + 4) f(x) = g(x) = -3x² -…

A:

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A: Convert partial fraction decomposition of the function