Area Between a Parabola and Two Tangent Lines
International journal of mathematical education in science and technology(2020)
Abstract
The goal of this note is to obtain the area enclosed between a parabola and two tangent lines using visual arguments. The first step that we have to follow, in order to do that, is noticing that the area between a parabola and a tangent line only depends on the leading coefficient of the quadratic function of the parabola. Finally, the intersection of two parabolas with the vertices on x-axis and equal leading coefficients is the key to obtain the result.
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Key words
Parabola,tangent line,visualization
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