Exercise 4.docx

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    Exercise 4.1

    Resolve into partial fractions.

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    Exercise 4.2

    Resolve into partial fractions

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    Exercise 4.3

    Resolve into partial fractions.

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    EXERCISE 3.3

    1. Find a third proportional to

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    (i) 6, 12 (ii) a3, 3a2

    (iii) a2- 2, a - b (iv) (x - y)2,x3- y3

    (v) (x + y)2,x2-xy - 2y2 (vi)

    (i) 6, 12 (ii) a3, 3a2

    (iii) a2- b2, a - b (iv) (x - y)2,x3- y3

    (v) (x + y)2,x2-xy - 2y2 (vi)

    2. Find a fo!rth proportional to

    (i) 5, 8, 15 (ii) 4x4, 2x3, 18x5

    (iii) 15a56, 1"a25, 21a33 (iv) x2- 11x# 24, (x- 3), 5x4- 4"x3

    (v) p3# q3,p2-q2,p2-pq# q2 (vi) (p2 - $2)(p2# p$ # $2) , p3# $3 , p3- $3

    3. Find a %ean proportional et&een

    (i) 2", 45 (ii) 2"'35, 5'7

    (iii) 15p4qr3, 135q5r7 (iv)

    4. Find the val!es of the letter involved in the follo&in contin!ed proportions.

    (i) 5,p, 45 (ii) 8,x, 18

    (iii) 12, 3p- 6, 27 (iv) 7,m- 3, 28