Finding the Arc Length of a Plane Curve In Exercises 1-6,sketch the plane curve and find its length over the given interval.
\(\mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}, \quad[0,4]\)
Text Transcription:
r(t)=ti + t^2j, [0,4]
Step 1 of 5) Exponential functions increase or decrease very rapidly with changes in the independent variable. They describe growth or decay in many natural and industrial situations, and the variety of models based on these functions partly accounts for their importance.