MathAnalysisCalculusMultivariable calculus

Curves and vectorial functions

Theory

Two particles

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Graph the following two curves:x1=3cos⁡ty1=3sin⁡t0⩽t⩽2πx_1=3 \cos t \quad y_1=3 \sin t \quad 0 \leqslant t \leqslant 2 \pix2=−2+cos⁡ty2=3+sin⁡t0⩽t⩽2πx_2=-2+\cos t \quad y_2=3+\sin t \quad 0 \leqslant t \leqslant 2 \piIn how many points do they intersect?

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