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(1) "(x)/(6)+5=(x)/(3)+(x)/(4)...

` (1) "(x)/(6)+5=(x)/(3)+(x)/(4)`

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Add: (3x^(2) - (1)/(5)x + (7)/(3)) + ((-1)/(4)x^(2) + (1)/(3)x - (1)/(6)) + (-2x^(2) - (1)/(2)x + 5)

3+(x)/(4)=(1)/(2)(4-(x)/(3))-(5)/(6)+(1)/(3)(11-(x)/(2))

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

Take away: (6)/(5)x^(2)-(4)/(5)x^(3)+(5)/(6)+(3)/(2)x om (x^(3))/(3)-(5)/(2)x^(2)+(3)/(5)x+(1)/(4)

If the mean of the scores x_(1), x_(2), x_(3), x_(4), x_(5) "and" x_(6) is x, then mean of 5x_(1), 5x_(2), 5x_(3), 5x_(4), 5x_(5), "and" 5x_(6) is ______.

The series expansion of log_(e) [(1 + x^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]

int(root(3)(x))(root(5)(1+root(3)(x^(4))))dx(i)(1+x^((3)/(4)))^((6)/(5))+C(ii)(1+x^((6)/(3)))^((6)/(5))+C(iii)(5)/(18)(1+x^((4)/(3)))^((6)/(5))+C (iv) (1)/(6)(1+x^((4)/(3)))^(6)+C

(3) (5x+1)(6+3x)+{(4x+3)(3x+4)}