The Parametric Curve Defined Assignment Example | Topics and Well Written Essays - 750 words

The Parametric Curve Defined - Assignment Example B, C and D were held constant at 1. Plots of the various values of A are shown below to understand the resulting behavior using an increment of 0.5. At A = 0, the curve resembles a straight vertical line between y = -1 and y = 1. However, as A is increased to 0.5, the curve provides an elliptical shape that is skewed on the x-axis. At A = 1, the curve becomes a perfect circle. As A is increased to both 1.5 and 2, the curve gains greater elliptical nature on the x axis such that the ellipse’s major axis lies on the x-axis. Therefore, it could be surmised that variation in the amplitude constant for the x parametric curve (A) tends to produce elongation on the x-axis. The amplitude constant for the y parametric curve (C) was varied using default values in Microsoft Mathematics 4.0, which ranged between 0 and 2. Moreover, all other constants i.e. A, B and D were held constant at 1. Plots of the various values of C are shown below to understand the resulting behavior using an increment of 0.5. At C = 0, the curve resembles a straight horizontal line between x = -1 and x = 1. However, as C is increased to 0.5, the curve provides an elliptical shape that is skewed on the y-axis. At C = 1, the curve becomes a perfect circle. As C is increased to both 1.5 and 2, the curve gains greater elliptical nature on the y axis such that the ellipse’s major axis lies on the y-axis. Therefore, it could be surmised that variation in the amplitude constant for the y parametric curve (C) tends to produce elongation on the y-axis. The frequency constant for the x parametric curve (B) was varied using default values in Microsoft Mathematics 4.0, which ranged between 0 and 2. Moreover, all other constants i.e. A, C and D were held constant at 1. Plots of the various values of B are shown below to understand the resulting behavior using an increment of 0.5. At B = 0, the curve resembles a straight vertical line between y = -1 and y = 1 that crosses the x-axis at x = 1.