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 Hint:
