Question

Consider the surface. Find an equation of the tangent plane to the surface at the point?

Answer 1

To find the slope of a tangent line at a specific point on a curve, one should determine the change in position and time between two given endpoints, and divide the change in position by the change in time.

Step-by-step explanation:

The question seems to refer to the concept of finding the slope of a tangent line to a curve at a particular point. Specifically, this situation involves finding the slope of a tangent line to a curve at t = 25 s based on given endpoints for the position and time. Given the endpoints (1300 m at 19 s) and (3120 m at 32 s), the slope can be found by using the formula for slope: (change in position) / (change in time), which results in the calculation of the slope v.

To find the slope v of the tangent line at t = 25 s for the given curve, one would follow these steps:

1. Identify the endpoints given for the curve at the specific times.
2. Calculate the difference in positions and times between these two points to obtain the change in position and change in time.
3. Divide the change in position by the change in time to find the slope v of the tangent line.