Please show work

46) Find the difference quotient and simplify of f(x) = 3x2 - 51 + 4 1 8 27 64 125 47) Find the general term of the sequence ,' 6'18' 54' 162 48) Rewrite using Sigma notation: 3+ 7 + 11 + ...407 10 10 49) Rewrite as a single sum (using only one Sigma): 20 + ) (2*) + 2) (2*-1) -> 2 k=1 K=4 *= 1 50) Find the sum of the first 300 even numbers. 15 51) Find the sum ) (3(-4)*-3) *=5 52) Expand using log properties, expand as much as possible: log Is (62 + a2 ) 25 Vy 53) Rewrite using one logarithm: , (In (x) - In (5) - In (y) - In (k)) 54) Use trigonometric identities to rewrite cos(2a + b) in terms of cos(a), cos (b), sin (a), and sin (b) 55) Simplify: sin(x) cos(7r) + sin(7r) cos(I) 56) Rewrite the equation of the ellipse 4x2 + 9y2 - 16x + 18y = 11 in standard form, identify center