Difference between revisions of "009A Sample Final 3, Problem 10"
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| − | <span class="exam">Let <math>y=\tan(x).</math> | + | <span class="exam">Let <math style="vertical-align: -5px">y=\tan(x).</math> |
| − | <span class="exam">(a) Find the differential <math>dy</math> of <math>y=\tan (x)</math> at <math>x=\frac{\pi}{4}.</math> | + | <span class="exam">(a) Find the differential <math style="vertical-align: -4px">dy</math> of <math style="vertical-align: -5px">y=\tan (x)</math> at <math style="vertical-align: -15px">x=\frac{\pi}{4}.</math> |
| − | <span class="exam">(b) Use differentials to find an approximate value for <math>\tan(0.885).</math> Hint: <math>\frac{\pi}{4}\approx 0.785.</math> | + | <span class="exam">(b) Use differentials to find an approximate value for <math style="vertical-align: -5px">\tan(0.885).</math> Hint: <math style="vertical-align: -15px">\frac{\pi}{4}\approx 0.785.</math> |
| − | + | <hr> | |
| − | + | [[009A Sample Final 3, Problem 10 Solution|'''<u>Solution</u>''']] | |
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| − | '''Solution | + | [[009A Sample Final 3, Problem 10 Detailed Solution|'''<u>Detailed Solution</u>''']] |
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[[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 16:49, 2 December 2017
Let
(a) Find the differential of at
(b) Use differentials to find an approximate value for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tan(0.885).} Hint: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{\pi}{4}\approx 0.785.}