query: Use of Mean Value Theorem
positive_passages.docid: 157960
positive_passages.text: How can I prove the existence of two values in a given domain Mean value theorem?
negative_passages.docid: 11387
negative_passages.text: Mean Value Theorem: $\frac{2}{\pi}<\frac{\sin x}{x}<1$
negative_passages.docid: 22516
negative_passages.text: Question about condtion of MVT for integral.
negative_passages.docid: 63580
negative_passages.text: Convergence in distribution, probability, and 2nd mean
negative_passages.docid: 43861
negative_passages.text: Find the Mean for Non-Negative Integer-Valued Random Variable
negative_passages.docid: 37283
negative_passages.text: Show that $\frac{X-\mu}{\sigma}\sim N(0,1)$ using moment functions
negative_passages.docid: 17815
negative_passages.text: Understanding the minimization of mean squared error function
negative_passages.docid: 111255
negative_passages.text: Gauss's mean value theorem problem
negative_passages.docid: 154617
negative_passages.text: Mean, Average and Expectation
negative_passages.docid: 146519
negative_passages.text: gaussian and mean curvatures
negative_passages.docid: 2799
negative_passages.text: Question about arithmetic–geometric mean
negative_passages.docid: 119779
negative_passages.text: Sequences of arithmetic and geometric mean
negative_passages.docid: 129116
negative_passages.text: $P(X<Y)$ where X and Y are exponential with means $2$ and $1$
negative_passages.docid: 58041
negative_passages.text: Prove by Mean Value Theorem $\frac{x}{1+x}0$
negative_passages.docid: 140516
negative_passages.text: How does one prove the Taylor's Theorem by the Cauchy's Mean Value Theorem?
negative_passages.docid: 127688
negative_passages.text: Example where convergence in mean does not imply convergence in quadratic mean
negative_passages.docid: 48920
negative_passages.text: Mean value theorem for integrals: how does the sign matter?