Difference between revisions of "009B Sample Midterm 3, Problem 3"

Latest revision as of 17:28, 23 November 2017

Find a curve $y=f(x)$ with the following properties:

(i) $f''(x)=6x$

(ii) Its graph passes through the point $(0,1)$ and has a horizontal tangent there.

@@ Line 1: / Line 1: @@
-<span class="exam">State the fundamental theorem of calculus, and use this theorem to find the derivative of
+<span class="exam"> Find a curve &nbsp;<math style="vertical-align: -5px">y=f(x)</math>&nbsp; with the following properties:
-::<math>F(x)=\int_{\cos (x)}^5 \frac{1}{1+u^{10}}du</math>
+<span class="exam">(i) &nbsp; <math style="vertical-align: -5px">f''(x)=6x</math>
+<span class="exam">(ii) &nbsp; Its graph passes through the point &nbsp;<math style="vertical-align: -5px">(0,1)</math>&nbsp; and has a horizontal tangent there.
+<hr>
+[[009B Sample Midterm 3, Problem 3 Solution|'''<u>Solution</u>''']]
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-!Foundations: &nbsp;
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+[[009B Sample Midterm 3, Problem 3 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]