exercise:Fbb7c85bd3: Difference between revisions
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Draw the graphs of the equations <math>y = x^2</math> | Draw the graphs of the equations <math>y = x^2</math> | ||
and <math>y = 4</math>, and label the region <math>R</math> bounded by them. | and <math>y = 4</math>, and label the region <math>R</math> bounded by them. | ||
<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li> | ||
Express the area of <math>R</math> as an integral with respect | Express the area of <math>R</math> as an integral with respect | ||
to <math>x</math> using | to <math>x</math> using [[guide:8310ca7964#theorem-1|Theorem]]. | ||
Evaluate the integral.</li> | Evaluate the integral.</li> | ||
<li>Similarly, express the area of <math>R</math> as an integral with | <li>Similarly, express the area of <math>R</math> as an integral with | ||
respect to <math>y</math> using the counterpart of | respect to <math>y</math> using the counterpart of [[guide:8310ca7964#theorem-1|Theorem]] | ||
for functions of <math>y</math>. Evaluate the integral and | for functions of <math>y</math>. Evaluate the integral and | ||
check the answer to | check the answer to (a).</li> | ||
</ul> | </ul> | ||
Latest revision as of 22:19, 23 November 2024
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[/math]
Draw the graphs of the equations [math]y = x^2[/math] and [math]y = 4[/math], and label the region [math]R[/math] bounded by them.
- Express the area of [math]R[/math] as an integral with respect to [math]x[/math] using Theorem. Evaluate the integral.
- Similarly, express the area of [math]R[/math] as an integral with respect to [math]y[/math] using the counterpart of Theorem for functions of [math]y[/math]. Evaluate the integral and check the answer to (a).