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Determine the points (if any) on the curve C at which the vector field F is tangent to C and normal to C. Sketch C

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Determine the points (if any) on the curve C at which the vector field F is tangent to C and normal to C. Sketch C and a few representative vectors of F. F = (2x,2y). where c = {(x.y): x2+yz =64} Where is F tangent to C? Select the correct choice below and fill in any answer boxes within your choice. O A. Fis tangent to C at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no points where F is tangent to C. O C. F is tangent to C at every point on C. Where is F normal to C? Select the correct choice below and fill in any answer boxes within your choice. O A. Fis orthogonal to the tangent vector of C at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no points where F is normal to C. O C. F is normal to C at every point on C. Sketch C and a few representative vectors of F. Choose the correct graph below. O A. OB. O C. O D

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