This problem is an applied optimization problem. The problem is to minimize
the area of the triangle formed by a tangent line to the function y = 1⁄9 x2.
The triangle is defined by the origin, the x-intercept of the tangent line, and the
y-intercept of the tangent line. Only triangles formed in the first quadrant are
of concern.
This project walks students through computing the perimeter and area of the Koch Snowflake as an application of geometric series. Students then create their own fractal and perform similar computations.
The purpose of this lab is to determine the spring constant of a given spring. This spring constant is given by the relation between the force exerted on the spring and the distance the spring is either stretched or compressed. This relationship is given through Hooke’s law which we are going to get a better understanding of throughout this lab.
Miguel Amezola
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