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Find the length of the arc of the circular helix with vector equation r(t) = t, cos(pit), sin(pit) from the point (0, 1, 0) to the point (2, 1, 0). Find an equation for the NORMAL PLANE to the curve r(t) = t, cos(pit), sin(pit) when t = 1/4. what point in R3 corresponds to r (1/4)? Use a computer algebra system to produce a picture of the helix, plane and point you identified in part b).

Show transcribed image text Find the length of the arc of the circular helix with vector equation r(t) = t, cos(pit), sin(pit) from the point (0, 1, 0) to the point (2, 1, 0). Find an equation for the NORMAL PLANE to the curve r(t) = t, cos(pit), sin(pit) when t = 1/4. what point in R3 corresponds to r (1/4)? Use a computer algebra system to produce a picture of the helix, plane and point you identified in part b).