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(Solved): (a) Sketch the curve represented by the parametric equations below. Use arrows to indicate the dire ...
(a) Sketch the curve represented by the parametric equations below. Use arrows to indicate the direction of the curve as increases. \[ x=5 \sin (t)+5 \quad y=3 \cos (t) \quad 0 \leq t \leq \pi \]
(b) Eliminate the parameter \( t \) in part (a) to obtain an equation for this curve in rectangular coordinates. \[ , x \geq 5 \]
Expert Answer
The given parametric set of equations we get, x=5sin?t+5y=3cos?t On the interval is, 0?t?? now putting the t values as, t=0,pi/4,pi/2 x=5y=3x(?4)=52+5