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- Use sine and cosine to parametrize the intersection of the cylinders x² + y = 81 and x? + z? = 81. Find a vector parametrization r(t) = (x(1), y(t), z(1)). (Use symbolic notation and fractions where needed. Use cosine for parametrization x variable.) x(t) = y(t) = + z(t) =Find the vector equation that represents the curve of intersection of the cylinder x2 + y? = 9 and the surface z = x* + y. %3D Write the equation so the (t) term contains a cos(t) term. 2(t) = 3 cos (t) y(t) = 3 sin(t) %3D z(t) = 9 cos(t) + sin (t)Convert the point (x, y, z) = ( − 3, — 3, — 5) to cylindrical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place. (r, 0, z) =