2. Given the vector field F = (x, y) and the curve C = {(x, y): x² + y² = 9} dy a) Find to get an expression for the slo

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2 Given The Vector Field F X Y And The Curve C X Y X Y 9 Dy A Find To Get An Expression For The Slo 1 (307.91 KiB) Viewed 43 times

2. Given the vector field F = (x, y) and the curve C = {(x, y): x² + y² = 9} dy a) Find to get an expression for the slope of a tangent line to the given curve C. (Hint: use theorem 15.9 from chapter 15) dx b) Use the result of part (a) to show that the given vector field F is normal to curve Cat all points on C. (Hint: rewrite the slope from part (a) as a vector) c) Sketch the given curve C and a few representatives of F on C.