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Continuity requirement : Let's discuss the continuity requirement a little. Nowhere in the above description did the continuity requirement clearly come into play. We need that the function we're optimizing to be continuous in I to stop the following situation.
In this case, a relative maximum of the function apparently occurs at x = c. Also, the function is decreasing always to the right and is always rising to the left. Though, Due to the discontinuity at x = d , we can apparently see that f ( d ) =f (c ) and therefore the absolute maximum of the function does not takes place at x = c . Had the discontinuity at x = d not been there it would not have happened & the absolute maximum would have taken place at x =c .
Following is a summary of this method.
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Important Points About the Alternating Series Test There are a several things to note about this test. Very first, unlike the Integral Test and the Comparison or Limit Compari
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Test Of Hypothesis On Proportions It follows a similar method to the one for means except that the standard error utilized in this case: Sp = √(pq/n) Z score is computed
Lucy's youth group increased $1,569 for charity. They decided to split the money evenly between 3 charities. How much will each charity receive? Divide the money raised through
Ask question #Min 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01
Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
Change of base: The final topic that we have to look at in this section is the change of base formula for logarithms. The change of base formula is,
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