Find the intersection points of the two curves
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Find the intersection points of the two curves

Question 2 - System of equations

Consider the curves defined by 1) the equation 5 (x - 1) 2 + 4 (x - 1) y + y2 = 1 and 2) x (t) = 2 t - 3 sin(t) and y (t) = 3 - 2 cos(t).

1. Find the intersection points of the two curves. Give your answers in numerical (decimal) form.

2. Produce a plot showing the two curves and a black dot at intersection points. The two curves should be drawn in different colours.

Hint
Computer"The intersecting lines are formed when two lines have precisely one common point. A common point connects the crossing lines. The point of intersection is the common point that exists on all intersecting lines. There will be a point of intersection between the two non-parallel straight lines that are co-planar.Solve each equation for y, put the two expressions for y equal to each other, s...
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