Solve the below:
1. Determine the vertices and focii of the graph of x^2/16 + y^2/35=1
2. Rotate the axes to eliminate the xy-term.
8x^2+64xy+8y^2+12x+12y+9=0
3. Find the discriminate and classify the graph.
7x^2-9xy+4y^2-4x-4y=0
4. Find the polar form of the equation 6x^2+3xy+6y^2=(-3)
5. A soccer ball is kicked with an initial velocity of 48ft/sec at an angle of 49 dgrees to the horizontal. Which set of parametric equations describes the path of the ball?
a. x=48t sin49degrees; y=48t cos49degrees-16t^2
b. x=48t cos49degrees; y=48t sin49degrees-16t^2
c. x=48t cos49degrees-16t^2; y=48t sin49degrees
d. x=48t sin49degrees-16t^2; y=48t sin49degrees
6. Find the eccentricity of the ellipse:
(x+6)^2 + (y-5)^2/64 = 1