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!!!
.........difference of two cubes
b) 54y^6 + 16x^3
.......now this is the sum of two cubes
..........factored out the commonc) 2x^2(2x + 1) - x(2x + 1) + 3(2x + 1)
this can't be factored anymore, we would need a -3. are you sure the original question wasn't ?
.....this is the difference of two squaresd) 80x^4 - 45x^2y^2
so what did we learn here. when we need to factor something, the first step is to see if there are any common factors we can pull out. then we look if the rest can be factored using things like "the difference of two squares" or "the sum/difference of two cubes" or just regular quadratic factoring