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Problem A player plays a game with the following rules. He throws a die until $1$ appears or he wishes to finish. The aim of the game is to...
Asked on 12/05/2020 by student
2 answer$$iint e^{x+y},dA$$ domain defined by:$${xge 5:::,:yge 5::,:x+yle 16}$$ This is what I'm given and I'm asked to solve this. I know the formula $ale xle b::,:g_1left(xright)le yle...
Asked on 12/05/2020 by Dr. Suess Official
1 answerThank you for taking time to look at this question. Below is the equation where I need your help. $$left ( frac{dh}{dt} right )^2 + hfrac{d^2h}{dt^2} = F_{u1} -...
Asked on 12/05/2020 by curious 2 learn
1 answerLet $$S = -int_{1}^{2}frac{1}{te^t},dt + int_{2}^{3}frac{1}{te^t},dt-int_{3}^{4}frac{1}{te^t},dt + cdots +text{ad inf}$$ Does the series $S$ converge? Clearly, $$S=sum_{ngeq 1}(-1)^{n}int_{n}^{n+1}frac{1}{t e^t},dt$$ So I thought of using alternating series test...
Asked on 12/05/2020 by Ramana
3 answerI want to understand why $i_{1ast}(h)=i_{2ast}(h)$ is $1=alphabetaalpha^{-1}beta^{-1}.$ $i_{1ast}:pi_{1}(U_1cap U_2,x)rightarrowpi_1(U_1, x)$. Since $pi_{1}(U_1, x)={1}$ we must...
Asked on 12/05/2020 by moooose
0 answerI have a question where I must evaluate the following integral over a circle where $lvert z rvert = 2$. $$I = oint frac{z^3e^{frac{1}{z}}}{1+z}dz$$ I have tried the $z^3...
Asked on 12/05/2020 by Gray
4 answerIn principal component analysis (PCA), one can choose either the covariance matrix or the correlation matrix to find the components. These give different results because, I suspect, the eigenvectors between...
Asked on 12/05/2020 by Lucozade
1 answerWhat is the name of this property of subtraction: $a - b -c = a - c - b$? I.e. "commutative" for everything but the first element: "when the...
Asked on 12/05/2020 by Adam B.
2 answerRandom variable $X$ has uniform distribution on section $[0,2]$. What's the expected value of variable $Y=frac{X^{4}}{2}$ I don't know how to start this task.I know formula...
Asked on 12/05/2020 by fakeraker p
2 answerI need a check on the following problem:Let $A$ a nonsingular matrix with real eigenvalues, and consider the iterative scheme $$x_{k+1} = x_k + alpha (b- Ax_k)$$ for...
Asked on 12/05/2020
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