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

A: 11°
B: 45°
C: 8°

Sagot :

Answer:

45

Step-by-step explanation:

ashishdwivedilVT

The angle of intersection between the equation f(x) = 3x and g(x) = 4-x² is 45⁰

What is Angle of Intersection?

Angle of intersection between two curves is the acute angle between the tangents to the curves at the intersection point.

Here, f(x) = 3x

then slope of f(x), [tex]m_{1}[/tex] = 3

g(x) = 4 - x²

then slope of g(x) , [tex]m_{2}[/tex] = -2  at x = 1

Now, Angle of intersection, tan θ = [tex]\frac{m_{2}-m_{1} }{1+ m_{1}m_{2} }[/tex]

tan θ = (-2 - 3) / (1 + 3.(-2))

tan θ = -5 / -5

tan θ = 1

θ = 45⁰

Thus, The angle of intersection between the equation f(x) = 3x and g(x) = 4-x² is 45⁰.

Learn more about Angle of intersection from:

https://brainly.com/question/15457894

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