Show that the middle term in the expansion of (1 + x)2¹ is (1-3.5 (2n- -1)) 2"x", where n is a positive integer. n! ...

(c) Find the term independent of x in the expansion of, 2 + 15 x3

2. (a) Given that (2 + x)" (1-x)" =+ pa³+qx²+7x+s, determine the values of P.4.9, and s. (b) Without expanding completely give the term in -=(x+1)* (c) Find the term that is independent of x in the following expansion: (+x)"

Find 11 (3 (3x + 2y)dA where R is the parallelogram with vertices (0,0), (4,5), (-3,1), and (1,6). Use the transformation = 4u - 3v, y = 5u + v.