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Mathematics 13 Online
OpenStudy (diamondanon2):

Find the angle of intersection between the equations f ( x ) = 3 x and g ( x ) = 4 - x 2 in the first quadrant.

OpenStudy (diamondanon2):

Answer choices are 8 11 45 (degrees)

OpenStudy (timamits):

First solve these two equations to get point of intersections of two curves. Find the one which lies in the first quadrant. Then by taking derivatives find slope of each curves at the intersection point. Let us say, these are m1 and m2 then find the angle by calculating arctan(abs(m1-m2)/(1+m1*m2)).

OpenStudy (diamondanon2):

oh okay

OpenStudy (diamondanon2):

what is answer

OpenStudy (diamondanon2):

I go 45

OpenStudy (timamits):

yes 45 is the correct answer.

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