Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} +

Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} + 1\right)^3 dx - \int_1^{10} \left(\sqrt{x} - 1\right)^3 dx .
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2. asked by John
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If Upper F(x) = int_1^x (f(t)) d t where f(t) = int_1^(t^2) (sqrt(2 + u^2) divided by u) d u find (Upeer F) prime prime (2).
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Consider the general case where the two classes have different means and possibly different variances:\displaystyle
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Evaluate \displaystyle \lim_{x \to 0} \frac{\sqrt{2}x}{\sqrt{2+x}-\sqrt{2}}.
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2. asked by Lucy
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If Upper F(x) = int_1^x (f(t)) d t where f(t) = int_1^(t^2) (sqrt(2 + u^2) divided by u) d u find (Upeer F) prime prime (2)
1. 1 answer
2. 31 views
Given two data points in 2 dimensions:\displaystyle \displaystyle \mathbf{x}^{(1)} \displaystyle = \displaystyle (x^{(1)},
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Given two data points in 2 dimensions:\displaystyle \displaystyle \mathbf{x}^{(1)} \displaystyle = \displaystyle (x^{(1)},
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2. 92 views
The normal distribution \mathcal{N}(\theta ,1) with with mean \theta and known variance \sigma ^2=1 has pdf\displaystyle
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Consider the same statistical set-up as above. Suppose we observe a data set consisting of 1000 observations as described in the
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2. 163 views
Recall from the slides that the Gamma distribution can be reparameterized using the two parameters a, the shape parameter, and
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2. 132 views