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13 Nov 2019
Section 10.1 Parametric Equations
3. +-15 points SCalcET8 10.1.AE.002 My Notes Ask Your Teacher EXAMPLE 2 equations? What curve is represented by the following parametric x = 4 cos(t) y = 4 sin(t) 0 t 2n (4 cos(t), 4 sin(t)) SOLUTION If we plot points, it appears that the curve is a circle. We can confirm this impression by eliminating t. Observe that x2 + y2 = 16 cos2(t) + 6 Thus the point (x, y) moves on the circle x2 + y2- . Notice that in this example the parameter t can be interpreted as the angle (in radians) shown in the figure. As t increases from 0 to 27, the point (x, y) = (4 cos(t), 4 sin(t)) moves once around the circle in the -Select 4direction starting at the point (x, y) = Video Example Need Help?Read It Talk to a Tutor
Section 10.1 Parametric Equations
3. +-15 points SCalcET8 10.1.AE.002 My Notes Ask Your Teacher EXAMPLE 2 equations? What curve is represented by the following parametric x = 4 cos(t) y = 4 sin(t) 0 t 2n (4 cos(t), 4 sin(t)) SOLUTION If we plot points, it appears that the curve is a circle. We can confirm this impression by eliminating t. Observe that x2 + y2 = 16 cos2(t) + 6 Thus the point (x, y) moves on the circle x2 + y2- . Notice that in this example the parameter t can be interpreted as the angle (in radians) shown in the figure. As t increases from 0 to 27, the point (x, y) = (4 cos(t), 4 sin(t)) moves once around the circle in the -Select 4direction starting at the point (x, y) = Video Example Need Help?Read It Talk to a Tutor
Casey DurganLv2
13 Nov 2019