How do you know which function is the inner radius and which is the outer radius?
1 answer:
Step-by-step explanation:
Graphing them is the best way to tell (I put one from Desmos in th attachment scribbled on it a little to match our situation). Otherwise you'll just have to know which one is going to be where on the interval given; but that knowledge comes by graphing them a lot anyways.
Also remember to draw your strips/lines from the axis of revolution to the curves. The longer one will represent the outer radius of the volume and the shorter one the inner radius.
So:
- Graph the functions.
- Draw your strips/lines
- Outer is longer, Inner is shorter
Comment with any questions.
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The domain of the graph is while the range of the graph is
.
- The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.
For the graph, the domain will be the values of the graph along the x-axis.
- Domain =
(Note that -8 is not included)
- For the range, the interval is given as:
. Note that the value of 4 is not included since it is opened.
Learn more on domain and range here: brainly.com/question/1942755