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- Find a vector equation for the tangent line to the curve of intersection of the cylinders x2+y2=25 and y2+z2=20 at the point (3, 4, 2).Determine an equation of the rectifying plane to at x=1.What is the moment of inertia about the x-axis bounded by the curves y² = -16(x-4), the line 8x-15y = 0 and the x-axis.
- Find the length of parametrized curve given by x(t) = 6t2 + 12t, y(t) = -4t3- 12t2 - 9t where t goes from 0 to 1The plane curve C is the part of y = x^4 that begins at the point (−1, 1) and ends at the point(1, 1). Evaluate the line integralFind a parametrization for the curve described below. The line segment with endpoints (-2,4) and (0,5). X = ----- for 0 ≤ t ≤ 1