A question using mean value theorem
34081
Prove that $|f''(\xi)|\geqslant\frac{4|f(a)-f(b)|}{(b-a)^2}$
73588
Probability mass function of the sample mean
126202
Analysis Question Involving Real Numbers
140516
How does one prove the Taylor's Theorem by the Cauchy's Mean Value Theorem?
84161
Gauss law question with regard to this example
70621
Question concerning the mean-value property
17814
Geometric Mean of a Function
135219
On the mean value of a multiplicative function: Prove that $\sum\limits_{n\leq x} \frac{n}{\phi(n)} =O(x) $
43861
Find the Mean for Non-Negative Integer-Valued Random Variable
23246
Challenge question; How do I prove the expected value of the following?
135907
Area within a given number of standard deviations from given mean
66901
How to calculate the confidence interval of the mean of means?
21649
P.d.f of the absolute value of a normally distributed variable
147323
calculating mean of a random variable raised to a power
74433
Why does the Mean Value Theorem require a closed interval for continuity and an open interval for differentiability?
90373
Using Divergence Theorem
55853
Proof using Taylor's theorem