i have a few questions that i need to learn how to do.

please help

Radicals:

Simplify

1. a) (2root3 - 3root2)(root5 + 4root3)

b) 2root5 / 3root2

c) root2 - root3 / 2root3 + 3root2

Factoring:

1. a) 5y - 40y^4

b) 54y^6 + 16x^3

c) 2x^2(2x + 1) - x(2x + 1) + 3(2x + 1)

d) 80x^4 - 45x^2y^2

Trigonometric Functions

1. A periodic function f has a period of 15. If f(5) = 13 and f(40 = -5, determine f(110).

2. An object suspended from a spring moves up and down. The distance from max point to low point is 30cm and it takes 4s to complete 5 cycles. Model this equation as a sine function, describing distance from mean position d(t) cm, with respect to time (t s).

Logarithmic Functions

1. Express x as a logarithmic function of y.

y = 2.7(8)^x

it will be so helpful if you could help me, even if its just a few of the questions. thank you!!!