Professor McGonagall presented the pair of equations shown below: y = 6x − 10
y = 2x − 2

Part A: Explain to Professor McGonagall how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form. (5 points)

Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

Which of the following is closest to 32.9 x 7.5? a: 232 b: 259 c: 220 d: 265

Find the area of the surface obtained by rotating the curve z=4e^2y from y = 0 to y =1 about the y-axis. the area is square units