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When given the resultant vector, R , and the smallest angle, \theta , the horizontal component, R_{x} , is R \cos \theta , and the vertical component, R_{y}, is R \sin \theta .

1) 6x^4 - 29x^3 + 40x^2 - 7x - 12 = 0 Let the roots be \alpha, \beta, \gamma and \delta. \alpha\beta = 2 \Rightarrow \alpha = \frac{2}{\beta} \alpha + \beta + \gamma + \delta = -\big( \frac{-29}{6}\big) = \frac{29}{6} \alpha\beta + \alpha\gamma + \alpha\delta +...

1) Show that k(k!) = (k+1)!-k! 2) Find the largest power of 7 that is a divisor of 100! 3) Express using factorial notation: a) 30 x 28 x 26 x...x 4 x 2 b) 29 x 27 x 25 x...x 3 x 1 Thanks!

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If you find that you are forgetting what you learn at tutoring too easily and/or aren't revising what you have learnt regularly even after you have completed them at tutoring, then perhaps consider moving to different tutoring centre that teaches at a pace slower to your school. However, if you...