The masses in grams of X, Y and Z present at time t seconds after the start of the reaction are x, 10 – x and – x respectively At any time the rate of formation of X is proportional to the product of the masses of Y and Z present at the time When t = 0, x = 0 and d d t x = 2 (a)Show that x and t satisfy the differential equation d d t4 Binomial Expansions 41 Pascal's riTangle The expansion of (ax)2 is (ax)2 = a2 2axx2 Hence, (ax)3 = (ax)(ax)2 = (ax)(a2 2axx2) = a3 (12)a 2x(21)ax x 3= a3 3a2x3ax2 x urther,F (ax)4 = (ax)(ax)4 = (ax)(a3 3a2x3ax2 x3) = a4 (13)a3x(33)a2x2 (31)ax3 x4 = a4 4a3x6a2x2 4ax3 x4 In general we see that the coe cients of (a x)n How do you use the binomial theorem to expand #(x^(2/3)y^(1/3))^3#?
Binomial Expansion Binomial Expansions Copyright C By Houghton Mifflin Company Inc All Rights Reserved 2 The Binomial Theorem Provides A Useful Method Ppt Download
