Difference between revisions of "009A Sample Final 1, Problem 6"
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| − | + | <span class="exam"> Consider the following function: | |
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| − | + | ::<math>f(x)=3x-2\sin x+7</math> | |
| − | + | <span class="exam">(a) Use the Intermediate Value Theorem to show that <math style="vertical-align: -5px">f(x)</math> has at least one zero. | |
| − | + | <span class="exam">(b) Use the Mean Value Theorem to show that <math style="vertical-align: -5px">f(x)</math> has at most one zero. | |
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| − | + | <hr> | |
| − | + | [[009A Sample Final 1, Problem 6 Solution|'''<u>Solution</u>''']] | |
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| − | + | [[009A Sample Final 1, Problem 6 Detailed Solution|'''<u>Detailed Solution</u>''']] | |
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[[009A_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | [[009A_Sample_Final_1|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 15:53, 2 December 2017
Consider the following function:
- 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 f(x)=3x-2\sin x+7}
(a) Use the Intermediate Value Theorem to show that 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 f(x)} has at least one zero.
(b) Use the Mean Value Theorem to show that 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 f(x)} has at most one zero.