Find the angle measurements of the intersections for the two equations f(x) = 4x - 5 and g(x) = 2x^ 2 - 5.
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ok, can you first find the intersection point of f(x) and g(x) ?
for that you'll need to solve the 2 equations simultaneously.
How? Im so sorry , openstudy clicked me off, because of updates.
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yeah, me too...
tag me when you come back.
i will list out the steps anyways.
1) find the point of intersection of those two curves, by solving them simultaneously. (say x1, y1)
2) find the first derivative of each curve at that point.
derivative of (4x-5) at x=x1 will be say m1 (the slope of the tangent at x=x1)
and derivative of 2x^2-5 at x=x1 will be say m2 (the slope of the tangent at x=x1)
3) now you know slopes of both the tangent, just apply the formula to get angle between them
tan theta = | (m1-m1) / (1+m1*m2)|