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please help me understand how to solve these questions. Question 1: Find a parameterisation of the curve y = $3 (with z = 0) and

please help me understand how to solve these questions.

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Question 1: Find a parameterisation of the curve y = $3 (with z = 0) and hence calculate its curvature at the point (2, 8, 0). Question 2: The logarithmic spiral shown below has equation r(t) = (etcos(4t), etsin(4t), O) . (a) Find the arc length parameterisation of r(t). Hint: Evaluate the integral in the arc length equation from 00 to t. (b) Find the curvature and torsion of the spiral (using either your arc length parameterisation or the original parameterisation). Question 2: The logarithmic spiral shown below has equation r(t) : (etcos(4t), etsin(4t), 0) . (a) Find the arc length parameterisation of I'(t). Hint: Evaluate the integral in the arc length equation from 00 to t. (b) Find the curvature and torsion of the spiral (using either your arc length parameterisation or the original parameterisation). Question 3: Prove that the position vector of the point on a straight line closest to the origin is perpendicular to the line

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