math help, please solve and show work?

1) In simplest form,

1/x^2-1/y^2 ,

-----------------

1/y+ 1/x is equal to?

2) The equation 2x^2+8x+n=0 has imaginary roots when n is equal to?

3) If x is a positive acute angle and cos x= 8/17, find the value of sin x.

4) Solve for all values of q that satisfy the equation √3q+7 = q+3

5) Find the exact value

3(sec30)+9(csc60)

6) Find the measure of angle x if sin(x+15)=cos(45)

7) A function is defined by the equation y= 1/2x-3/2. What equation defines the inverse of this function?

8) The expression

1

------------ is equivalent to?

5-√13

Please answer any that you can, im happy with any help you can provide.