Difference between revisions of "009A Sample Final 3, Problem 9"

Revision as of 19:35, 17 February 2017

Let

g(x)=(2x^{2}-8x)^{\frac {2}{3}}

a) Find all critical points of

g

over the

x

-interval

[0,8].

b) Find absolute maximum and absolute minimum of

g

over

[0,8].

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+<span class="exam">Let
-::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
+::::<math>g(x)=(2x^2-8x)^{\frac{2}{3}}</math>
-::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
+::<span class="exam">a) Find all critical points of <math>g</math> over the <math>x</math>-interval <math>[0,8].</math>
-::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
+::<span class="exam">b) Find absolute maximum and absolute minimum of <math>g</math> over <math>[0,8].</math>
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