Final answer:
To find the equation for the tangent plane to the surface at a given point, calculate the slope of the curve, determine the endpoints of the tangent line, and plug them into the slope equation.
Step-by-step explanation:
To find the equation for the tangent plane to the surface at a given point, follow these steps:
- Calculate the slope of the curve at that point.
- Determine the endpoints of the tangent line, which correspond to positions at different times.
- Plug the endpoints into the equation to solve for the slope of the tangent line.
By using these steps, you can find the equation for the tangent plane to the surface.