1. Express the following sums in summation notation starting with k = 1. (a) 1 + 2+4 +8+16+32 16 64 256 (b ) + + 5 5 + 5 2. Given / 2f (x) dx - 6 and [ f() de = 7, find [ f(x) do and ( 25 (y ) dy . 3. A particle moves on a coordinate line with acceleration a(t) = d's dt 2 = 15vt Vt subject to the conditions that v(1) = 4 and s(1) = 0. Find v(t) and s(t)