can we work on this problem

Determine whether the space curve given by r(t) = (,,t7 + 5) intersects the xy-plane. Consider the following method for identifying the point of intersection. Solve the system of equations x(t) =0 (t) =0 t =0 {is =0 Therefore, t = 0. So solve for r(0) to find the point of intersection. r(0) = ((0), (0)*, (0) + 5) r(0) = (0,0, 5) Is the point of intersection (0, 0,5)? If not, explain the misconception in the demonstrated method. O A curve intersects the xy-plane when the z coordinate of r(t) is 0. Acurve intersects the xy-plane when the y and z coordinate of r(1) is 0. O The point of intersection is (0, 0, 5). A curve intersects the xy-plane when the x and z coordinate of r(t) is 0. State the point of intersection, if it exists. (Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in the form (*,*,*). Enter NO SOLUTION if the curve does not intersect the x-axis.) point coordinates