1. The problem statement, all variables and given/known data
There are 8 opposite-sex married couples in a party and 6 people are chosen to win a prize.
What is the probability that they are 3 marri...
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1. The problem statement, all variables and given/known data
Prove by induction that,
3^(2n) - 1 is an integral multiple of 8
for all positive n >= 1.
2. Relevant equations
3^(2n) - 1
...
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i dont understand the point of LaTeX Source CodeThe following code was used to generate this LaTeX image:[itex]\\hat{\\theta}[/itex]LaTeX code reference [javascript:;]>');"> if a vector is completely ...
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Given S is set for all real number. A is set for all even number, B is set for all positive integer, C is set for odd number represent the relationship between the sets with Venn diagram.
This questi...
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1. The problem statement, all variables and given/known data
I am needing to identify whether or not my distribution follows a normal distribution. Now by eye it kind of looks like it does, but I nee...
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I think I have returned all my math back to teachers without any refund.
y=f(x);
h=xb-xa, which is very small.
My Q is to calculate curve length rather than area numerically.
But let me us...
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1. The problem statement, all variables and given/known data
The mean height of players in a basketball competition is 184 cm. If the standard deviation is 5 cm, what percentage of them are likely to...
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1. The problem statement, all variables and given/known data
Let LaTeX Source CodeThe following code was used to generate this LaTeX image:[tex]I_n=\\int_{0}^{1} (1+x^2)^{-n} dx[/tex]LaTeX code refer...
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1. The problem statement, all variables and given/known data
Hi, I have a question: Prove that a square matrix of order n has an LU-factorization if and only if the origin is not contained in the n...
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1. The problem statement, all variables and given/known data
1) If I know that z_1 = (2+i) and z_2 = (2-i) are solutions to a polynomial, how do I find it? (I have six to chose between, it's a mult...
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1. The problem statement, all variables and given/known data
Show by matrix multiplication, LaTeX Source CodeThe following code was used to generate this LaTeX image:[tex]\\delta_{ij}v_j = v_i[/tex]L...
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1. The problem statement, all variables and given/known data
Find a differential eq. y''+ay'+by=0 with this basis: exp(-1-i)x , exp(-1+i)x
2. The attempt at a solution
I see from this that th...
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1. The problem statement, all variables and given/known data
How many solutions does
z^2-iz(conjugate)=1/4
have?
2. The attempt at a solution
z^2=(1/4)+y+ix
Since the RHS is a comple...
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My problem is the next:
Show that LaTeX Source CodeThe following code was used to generate this LaTeX image:[tex]\\forall x,y\\geq 0[/tex]LaTeX code reference [javascript:;]>');"> and LaTeX Source ...
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1. The problem statement, all variables and given/known data
The problem asks me to: Determine a reduction formula for the stated integral (See Picture and problem at:
http://garciarussellchem.ang...
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y'' + 2y' + 5y = 0 (*)
OK, what I have done is computing the two roots y1 = exp(-x)*cos2x and y2 = exp(-x)*sin2x.
However, when I compute the derivatives of these two, and substitute into (*), ...
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Let's say I have a simple difference equation (the logistic equation from population dynamics);
LaTeX Source CodeThe following code was used to generate this LaTeX image:[tex] \\frac{x_{t+1}}{x_t} ...
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I am given the following information,
A x X = B
A ● X = phi
Where A, B, and X are vectors and phi is a scalar. A cross product is indicated by “x” and “●” indicates a dot product.
...
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It's been too long since I've done probability or statisitcs, so I'm looking for a bit of help on this subject. I hope that my title is actually what I'm about to talk about . Basically, we always se...
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Are the functions y=0 and y=sinh(pi*x) linearly dependent or linearly independent on the intercal x>0?
I'm not sure what I'm supposed to do here, but I try to divide them:
0/sinh(pi*x). This ...
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Integrate LaTeX Source CodeThe following code was used to generate this LaTeX image:[tex] \\int_C \\sec^2 z dz \\ \\mbox{any path from } \\ \\frac{\\pi}{4} \\mbox{ to } \\frac{\\pi\\iota}{4} \\\\ \\...
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1. The problem statement, all variables and given/known data
The five numbers 1, 2, 3, 4, and 5 are written respectively on five disks of the same size and placed in a hat. Two disks are drawn wit...
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Reduce to the 2nd order and solve the eq.
(1-x^2)y'' - 2xy' + 2y = 0 (we know that y(1) = 0)
I don't know what to do here, except that I'm supposed to find y(2). I know the formulas
y(...
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1. The problem statement, all variables and given/known data
If P(A) =0.4, P(B)=0.5, and P(A∪B)=0.7, find P(A’∪B’)
3. The attempt at a solution
P(A’) = (Probability of al...
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1. The problem statement, all variables and given/known data
The sequence LaTeX Source CodeThe following code was used to generate this LaTeX image:[tex]u_1,u_2,u_3,...[/tex]LaTeX code reference [jav...
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