1. Match each equation in rectangular coordinates with its equation in polar coordinates: (a) x² + y² = 4 r² (1-2 sin²0) = 4 r(cos+ sin 0) = 4 r=2 sin 0 r = 2 (b) x² + (y − 1)² = 1 O r² (1-2 sin²0) = 4 r(cos 0 + sin 0) = 4 r=2 sin 0 Or=2 (c) x+y=4 O r² (1-2 sin² 0) = 4 r(cos 0 + sin 0) = 4 r = 2 sin 0 r = 2

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A: Let's find.

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A: This problem is convert to pollar form and then solve so,......

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Q: (a) If the null space of a 6 x 9 matrix A is 3-dimensional, what is the dimension of the column…

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A: We have to find out