MCS 351 ENGINEERING MATHEMATICS SOLUTION OF ...

So, we get x(t) = a + (c − a)t and y(t) = b + (d − b)t. Hence
z(t) = x(t) + iy(t) = (a + (c − a)t) + i(b + (d − b)t)
13. Let x(t) = t and y(t) = 1 t . Then we obtain parametric equation z(t) = t + i 1 t .
14. The equation of an ellipse whose major and minor axess coincide with the cartesian axis is
( x a )2 + ( y b )2 = 1
Because of y ≥ 0 we obtain following graphic:
Parametric equation is x(t) = a cos t, y(t) = b sin t, y ≥ 0.
15. At first we determine y at x = −1, x = 0 and x = 1 for helping us to get graphic.
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