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Find a Rectangular Equation for the Plane Curve Defined by the Parametric

Question 149

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- x=7sin⁡t,y=7cos⁡t;0≤t≤2πx = 7 \sin t , y = 7 \cos t ; 0 \leq t \leq 2 \pi


A) x2+y2=49x ^ { 2 } + y ^ { 2 } = 49 ; for xx in −7≤x≤7- 7 \leq x \leq 7
B) y=x2−9y = x ^ { 2 } - 9 ; for xx in −2≤x≤2- 2 \leq x \leq 2
C) y=a2−x2=49y = \sqrt { a ^ { 2 } - x ^ { 2 } } = 49 ; for xx in −∞<x<∞- \infty < x < \infty
D) y2−x2=49y ^ { 2 } - x ^ { 2 } = 49 ; for xx in −∞<x<∞- \infty < x < \infty

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