Difference between revisions of "009A Sample Final 3, Problem 5"

Revision as of 19:33, 17 February 2017

Calculate the equation of the tangent line to the curve defined by $x^{3}+y^{3}=2xy$ at the point, $(1,1).$

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

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-<span class="exam">Compute
+<span class="exam"> Calculate the equation of the tangent line to the curve defined by <math>x^3+y^3=2xy</math> at the point, <math>(1,1).</math>
-::<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 style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
-::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
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