Prove:
$$ \int_{0}^{1} e^{x} \sqrt{2 x+1}\left(1+x+x^{2}\right)^{100} d x \leq \sqrt{\frac{\left(e^{2}-1\right)\left(3^{201}-1\right)}{402}} $$
You may not use any integral computation tools such as Wolfram Alpha for this question. HINT: Think about inner products.
Homework Answers
Please comment if you need any clarification.
If you find my answer helpful please put thumbs up.thank you
![let HX+X+ P (2* +1] derde 220 PE! P=3. 1=1 el MU! (s p200 dp foto 7+1 200+1 3 200 201 12 201 3 fuppur Inmit. 201 lower limit](http://img.homeworklib.com/questions/3d411a90-8a70-11eb-95d1-7b4a99249cbd.png?x-oss-process=image/resize,w_560)
Solve the integral substitute the value of picture below please i need some help i'm desperate please pleaseI hace a Lot homework
\(\frac{\mathscr{L}}{\frac{\rho_{\infty} V_{\infty}^{2} c}{2}}=\int_{0}^{\frac{b}{2}}\left(\frac{\partial C_{l}}{\partial \alpha}\left(\alpha-\alpha_{C_{l}=0}\right)+\frac{\partial C_{l}}{\partial \alpha} \varphi(v)-\frac{\partial C_{l}}{\partial \alpha} \frac{\dot{p} v}{V_{\infty}}+\frac{\partial C_{l}}{\partial \beta} \beta \mathscr{U}_{b_{2}}(v)\right) v d v\)substitute this value in the integral and solve:
1-Given the function:
1-Given the function: \(y=\frac{x^{2}-3 x-4}{x^{2}-5 x+4}\), decide if \(f(x)=y\) is continuous or has a removable discontinuity, and find horizontal tond vertical asymptotes.2 A-Use the definition \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to prove that derivative of \(f(x)=\sqrt{4-x}\) is \(\frac{-1}{2 \sqrt{4-x}}\)2 B- Evaluate the limit \(\lim _{h \rightarrow 0} \frac{f(x+h) - f(x)}{h}\) for the given value of \(x\) and function \(f(x) .\)$$ f(x)=\sin x, \quad x=\frac{\pi}{4} $$3-Given the function: \(y=(x+4)^{3}(x-2)^{2}\), find y' and classify critical numbers very carefully using first derivative tess...
Round your answers to two decimal places.
Round your answers to two decimal places. a. Using the following equation:\(S_{\hat{y}},=s \sqrt{\frac{1}{n}+\frac{\left(x^{*}-\bar{x}\right)^{2}}{\sum\left(x_{i}-\bar{x}\right)^{2}}}\) Estimate the standard deviation of \(\hat{y}^{*}\) when \(x=3 .\)b. Using the following expression:\(\hat{y} * \pm t_{\alpha / 2} s_{\hat{y}}\)Develop a \(95 \%\) confidence interval for the expected value of \(y\) when \(x=3\). toc. Using the following equation:$$ s_{\text {pred }}=s \sqrt{1+\frac{1}{n}+\frac{\left(x^{*}-\bar{x}\right)^{2}}{\sum\left(x_{i}-\bar{x}\right)^{2}}} $$Estimate the standard deviation of an individual value of \(y\) when \(x=3\).d. Using the following expression:\(\hat{y}^{*} \pm t_{\alpha / 2} s_{\text {pred }}\)Develop a \(95 \%\) prediction...
math
3) Find the mean value of \(y=\frac{x}{x^{2}}+\frac{x^{4}}{\sqrt{2} x^{2}}-\frac{x}{2} e^{x^{2}}\) for \(0.5 \leq x \leq 1\).4) Find the general solution of the following differential equation. $$ \frac{d y}{d x}=\frac{x^{2}}{49 y^{3}+x^{2} y^{3}} $$5) Solve the following differential equation. $$ \frac{d^{2} y}{d x^{2}}=\frac{x}{(16+x)^{2}} $$
Let X be a normal random variable with mean µ, variance^2 , pdf and mdf
Let \(X\) be a normal random variable with mean \(\mu\), variance \(\sigma^{2}\), pdf$$ f(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{(x-\mu)^{2}}{2 \sigma^{2}}} $$and mgf \(M(t)=e^{\mu t+\frac{1}{2} \sigma^{2} t^{2}}\)(a) Prove, by identifying the moment generating function of \(a+b X\), that \(a+b X \sim\) \(N\left(a+b \mu, b^{2} \sigma^{2}\right)\)(b) Prove, by identifying the pdf of \(a+b X\) (via the cdf), that \(a+b X \sim N(a+\) \(\left.b \mu, b^{2} \sigma^{2}\right)\)
ZILLDIFFEQ9 11.1.016.
Let \(\left\{\varphi_{n}(x)\right\}\) be an orthogonal set of functions on \([a, b]\) such that \(\psi_{0}(x)=1\) and \(\varphi_{1}(x)=x\), Show that \(\int_{a}^{b}(\alpha x+\beta) \varphi_{n}(x) d x=0\) for \(n=2,3, \ldots\) and any constants \(\alpha\) and \(\beta\),First we note that \(\alpha x+\beta=(\square) \Phi_{1}(x)+(\square \quad) \Psi_{0}(x)\).Using this together with the fact that \(\varphi_{0}\) and \(\varphi_{1}\) are orthogonal to \(\varphi_{n}\) for \(n>1\), we have the following.$$ \begin{aligned} \int_{a}^{b}(\alpha x+\beta) \varphi_{n}(x) d x &=\int_{a}^{b} a x \psi_{n}(x) d x+\int_{a}^{b} \beta \varphi_{n}(x) d x \\ &=\int_{a}^{b}\left(\square_{0}\right) \varphi_{1}(x) \varphi_{n}(x) d...
My question relates to Example 2.4, Section 3 (The Harmonic Oscillator) in the textbook Introduction to...
My question relates to Example 2.4, Section 3 (The Harmonic Oscillator) in the textbook Introduction to Quantum Mechanics by DavidJ. Griffiths. My problem is with the normalization of of the following equation: |A|^2 \sqrt{\frac{m\omega}{\pi\hbar} (\frac{2m\omega}{\hbar})\int_{-infty}^\infty x^2 e^\frac{-m\omega x^2}{\hbar} dx. Integration by parts does not work because e^(-x^2) is not a n elementary function. I tried using the technique of improper integral - type 1 infinite integral - but I was not able to obtain the normalization factor of 1 given...
Assess a subjective triangular probability distribution for the random variable, X, where X is defined as...
Assess a subjective triangular probability distribution for the
random variable, X, where X is defined as the amount of snowfall
you think we will get in our next snowstorm in inches. Suppose that
you expect your commute to increase in minutes according to the
function . What is the expected increase in your
commute for the next snowstorm?
Estimate E[f(X)] by creating simple Monte Carlo
simulation in Excel.
Here are some equations for the triangular distribution that may
help you:...
Find the Fourier integral representation of f(x) = e −|x| and hence show that
(15 marks) Find the Fourier integral representation of \(f(x)=e^{-|x|}\) and hence show that$$ \int_{0}^{\infty} \frac{d t}{1+t^{2}}=\frac{\pi}{2} $$
Consider the heat conduction problem
5. If \(f(x)=\left\{\begin{array}{cc}0 & -2<x<0 \\ x & 0<x<2\end{array} \quad\right.\)is periodio of period 4 , and whose Fourier series is given by \(\frac{a_{0}}{2}+\sum_{n=1}^{2}\left[a_{n} \cos \left(\frac{n \pi}{2} x\right)+b_{n} \sin \left(\frac{n \pi}{2} x\right)\right], \quad\) find \(a_{n}\)A. \(\frac{2}{n^{2} \pi^{2}}\)B. \(\frac{(-1)^{n}-1}{n^{2} \pi^{2}}\)C. \(\frac{4}{n^{2} \pi^{2}}\)D. \(\frac{2}{n \pi}\)\(\mathbf{E}_{1} \frac{2\left((-1)^{n}-1\right)}{n^{2} \pi^{2}}\)F. \(\frac{4}{n \pi}\)6. Let \(f(x)-2 x-l\) on \([0,2]\). The Fourier sine series for \(f(x)\) is \(\sum_{w}^{n} b_{n} \sin \left(\frac{n \pi}{2} x\right)\), What is \(b, ?\)A. \(\frac{4}{3 \pi}\)B. \(\frac{2}{\pi}\)C. \(\frac{4}{\pi}\)D. \(\frac{-4}{3 \pi}\)E. \(\frac{-2}{\pi}\)F. \(\frac{-4}{\pi}\)7. Let \(f(x)\) be periodic...
Let \(\left\{\varphi_{n}(x)\right\}\) be an orthogonal set of functions on \([a, b]\) such that \(\psi_{0}(x)=1\) and \(\varphi_{1}(x)=x\), Show that \(\int_{a}^{b}(\alpha x+\beta) \varphi_{n}(x) d x=0\) for \(n=2,3, \ldots\) and any constants \(\alpha\) and \(\beta\),First we note that \(\alpha x+\beta=(\square) \Phi_{1}(x)+(\square \quad) \Psi_{0}(x)\).Using this together with the fact that \(\varphi_{0}\) and \(\varphi_{1}\) are orthogonal to \(\varphi_{n}\) for \(n>1\), we have the following.$$ \begin{aligned} \int_{a}^{b}(\alpha x+\beta) \varphi_{n}(x) d x &=\int_{a}^{b} a x \psi_{n}(x) d x+\int_{a}^{b} \beta \varphi_{n}(x) d x \\ &=\int_{a}^{b}\left(\square_{0}\right) \varphi_{1}(x) \varphi_{n}(x) d...
Assess a subjective triangular probability distribution for the
random variable, X, where X is defined as the amount of snowfall
you think we will get in our next snowstorm in inches. Suppose that
you expect your commute to increase in minutes according to the
function . What is the expected increase in your
commute for the next snowstorm?
Estimate E[f(X)] by creating simple Monte Carlo
simulation in Excel.
Here are some equations for the triangular distribution that may
help you:...
Most questions answered within 3 hours.
-
2) You are given the task of finding a representation for a
circle in a drawing...
asked 19 minutes ago -
STUDY QUESTION: Does use of diet drug fen-phen
(fenfluramine-phentermine) cause valvular heart disease?
HINT: Valvular heart...
asked 11 minutes ago -
1. An object weighing 40 N rests on a surface. The coefficient
of friction is 0.35....
asked 1 hour ago -
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 2 hours ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 2 hours ago -
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 3 hours ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 5 hours ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 7 hours ago -
Hello, can someone please help me answer this question?
How much heat is absorbed by a...
asked 7 hours ago -
. A marketing researcher conducted a survey of 25 shoppers
randomly selected at the local mall...
asked 8 hours ago -
Create an comprehensive response to the
following:
Antimicrobial agents work on a multitude of microbes (bacteria,...
asked 8 hours ago -
6.13 LAB: Step counter. Section 6.3.
A pedometer treats walking 2,000 steps as walking 1 mile....
asked 8 hours ago