Vector field v of x comma y equals angle bracket 4 absolute value of x and absolute value comma 1 close-angle bracket models the velocity of water on the surface of a river. What is the speed of the water at the point 2 comma 3? Use meters per second as the units.

The speed can be found by finding the magnitude of, in this case, our vector field, v. So our speed is the magnitude of vector v, which is equal to the square root of 16x squared, plus 1. And square root.

Now, we want the speed at a particular point. So we'll evaluate this. As v the magnitude of vector v, evaluated at the 0.23.

Which be equal to the square root of 16 times 2 squared plus 1. And square root. Which is equal to the square root of 65 meters per second, squared.