The values obtained by those data also aligned to the
parametric equation Pr/Ir versus Ir, but the coefficients differ from the expected values.
Parametric equation of a second circle with center C2:
Note that D, the image of the diagonal line {[r.sub.1] = [r.sub.2]} under the map [V.sub.depr], is a cubic curve whose
parametric equation is given by the formulas {c = - [r.sub.1.sup.2] - [r.sub.2.sup.2] - [r.sub.1][r.sub.2], d = - [r.sub.1.sup.2] [r.sub.2] - [r.sub.2.sup.2][r.sub.1]}.
Example 18 Let S be the ellipsoid represented by the following
parametric equation3) Examining the
parametric equation for the envelope (fig 3b), we see that X=0 occurs when the parameter t = 1/2.
We note that m = f(b)-f(a)/g(b)-g(a) and we get y = 1/2 x + [pi]/2, the
parametric equation for AC can be written as
Equation (7) expresses the
parametric equation of the generated path through the fictitious mechanism Wp-7.
The second paper, 'Modeling shell morphology of an epitoniid species with
parametric equations,' dealt with mathematically modelling marine species and noted the significance of the method in differentiating each group of specie.
They cover preparation for calculus; limits and their properties; differentiation; applications of differentiation; integration; differential equations; applications of integration; integration techniques and improper integrals; infinite series; conics,
parametric equations, and polar coordinates; vectors and the geometry of space; vector-valued functions; functions of several variables; multiple integration; and vector analysis.
After solving these equations, the
parametric equations x (t) and y (t) (where x and y are spatial coordinates and t is the time) result from exponential functions.