Difference between revisions of "009A Sample Final 3, Problem 10"
Jump to navigation
Jump to search
Kayla Murray (talk | contribs) (Created page with "<span class="exam">Compute ::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math> ::<span class="exam">b) <math st...") |
Kayla Murray (talk | contribs) |
||
| Line 1: | Line 1: | ||
| − | <span class="exam"> | + | <span class="exam">Let <math>y=\tan(x).</math> |
| − | ::<span class="exam">a) <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">b) <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> |
| − | |||
| − | |||
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 18:36, 17 February 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.}
| Foundations: |
|---|
Solution:
(a)
| Step 1: |
|---|
| Step 2: |
|---|
(b)
| Step 1: |
|---|
| Step 2: |
|---|
(c)
| Step 1: |
|---|
| Step 2: |
|---|
| Final Answer: |
|---|
| (a) |
| (b) |
| (c) |