Harlen Pritchard
2021-10-17
Answered

A pair of honest dice is rolled once. Find the expected value of the sum of the two numbers rolled.

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Gennenzip

Answered 2021-10-18
Author has **96** answers

Below is sample space for sum of pair of dice:

Evaluating probability of each event:

We know Expected value (E) is given by:

Evaluating expected value (E) of the sum of the two numbers rolled:

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Use the given graph off over the interval (0, 6) to find the following.

a) The open intervals on whichfis increasing. (Enter your answer using interval notation.)

b) The open intervals on whichfis decreasing. (Enter your answer using interval notation.)

c) The open intervals on whichfis concave upward. (Enter your answer using interval notation.)

d) The open intervals on whichfis concave downward. (Enter your answer using interval notation.)

e) The coordinates of the point of inflection.$(x,\text{}y)=$

a) The open intervals on whichfis increasing. (Enter your answer using interval notation.)

b) The open intervals on whichfis decreasing. (Enter your answer using interval notation.)

c) The open intervals on whichfis concave upward. (Enter your answer using interval notation.)

d) The open intervals on whichfis concave downward. (Enter your answer using interval notation.)

e) The coordinates of the point of inflection.

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What is a solution to the differential equation $\frac{dy}{dx}=xy$ ?

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Find the Maclaurin series for $f(x)=({x}^{2}+4){e}^{2x}$ and use it to calculate the 1000th derivative of $f(x)$ at $x=0$. Is it possible to just find the Maclaurin series for e2x and then multiply it by $({x}^{2}+4)$?

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Determine the convergence or divergence of the series.

$\sum _{n=1}^{\mathrm{\infty}}(\frac{1}{{n}^{2}}-\frac{1}{{n}^{3}})$

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Verify $y=x\mathrm{tan}x$ is solution to ODE: $x{y}^{\prime}=y+{x}^{2}+{y}^{2}$

Verify$Sy=x\mathrm{tan}\left\{x\right\}$

is a solution to$x{y}^{\prime}=y+{x}^{2}+{y}^{2}$

Verify

is a solution to

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Let N be a positive integer. Find all real numbers a such that the differential equation $\frac{{d}^{2}y}{d{x}^{2}}-4a\frac{dy}{dx}+3y=0$ has a nontrivial solution satisfying the conditions $y\left(0\right)=0$ and $y\left(2N\pi \right)=0$

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I have this series:

$\sum _{n=1}^{\mathrm{\infty}}\frac{4}{(n+1)(n+2)}$

$\sum _{n=1}^{\mathrm{\infty}}\frac{4}{(n+1)(n+2)}$