(∂4 +2 ∂3 -40 ∂2 +64 ∂) Γ + 3 ∂2 Γ ∂2 Γ + 6 ∂2 Γ ∂ Γ - 80 ∂ Γ ∂ Γ + 40 Γ ∂2 Γ + 192 Γ ∂ Γ = 0

Solutions are of the form Γ~

I have two questions:

1. Photomath tells me the first inequality is impossible because the left side is always bigger than zero. First of all, I thought the way to solve inequalities of second degree was to use the specific formula, not by just looking at it. If you actually use the formula on inequality nr20 it yelds a numeric result, so I don't get it: when do we use the formula?

2. Assuming nr20 was impossible, then shouldn't the other exercise also yeld the same result? The...

Read more]]>

[imath]S:\N\to\N[/imath], [imath]s(n)=n+1[/imath], where [imath]s(n)[/imath] is the successor function.

- [imath]s(n)=n+1[/imath]
- [imath]m+s(n)=s(m+n)[/imath]

Let [imath]S=\{l,m,n \in \N|(l+m)=n = l+(m+n)\}[/imath]

Read more]]>

[math]\sum_{n=1}^\infty\frac{(2n)!}{n^{2n}}\\\\\text{I tried to use d'alembert test but I got so hard limit, so I thought about cauchy's test:}\\\\\lim_{n\to\infty}\sqrt[n]{\frac{(2n)!}{n^{2n}}}\\\\\text{Do u have any ideas how to calculate this limit?}[/math]]]>

Any hint please? I don't need the solution but some hints to prove it! Thanks]]>

What I am mostly struggling is the base area. How do I calculate that?

I need to know c and d. What I got is not correct is overall, very exhausting.

]]>

Read more]]>

1.is this ode type or pde?

2.how i should solve it? consider zeta defined with x and t parameter.

]]>

I've tried rewriting it with partial fractions and than using the comparison test, but it didn't seem to work out.

]]>

Also, if that is true is there any way to determine (

Read more]]>

Topic is SET and Number (Math)

Thanks]]>

]]>

House 1 = $200,000 , 1500sqft

House 2 = $225,000 , 1350sqft

House 3 = $250,000 , 2000sqft

200,000/1500 = 133.33

225,000/1350 = 166.67

250,000/2000 = 125

133.33+166.67+125 = 425

425/3 = 141.67

Method Two:

200,000+225,000+250,000 =...

Read more]]>

i think the first term is derivative of fourier transform and the second one is sine fourier transform. what can i write for RHS and how we can find f(x)?]]>

The question/example set is this:

I've tried using Youtube and looking over class notes of how to get an equation for an exponential function but can't seem to find the right solution as these appear to use translations which I can't find out how it was done.

The work I was able to get done so far is here:

What would I be missing here or is...

Read more]]>

[math]\int_0^{\frac{\pi }{2}} \exp \left(-\frac{1}{2} \left(\frac{1}{2} \pi a^2 b^2 \left(\cos ^2(\theta )+\frac{1}{\cos ^2(\theta )}-2\right)+\frac{x^2 \cos ^2(\theta )}{\frac{1}{2} \pi a^2 b^2}+2 x \left(1-\cos ^2(\theta )\right)\right)\right) \, d\theta =\frac{\pi a}{2}[/math]

Any suggestion?]]>

I hope you will all excuse me - I'm not a maths expert.

I have been trying to find a way to identify an electronic module by its serial number.

I need to assign each module with a unique number between 1 and 247. (This is an industrial modbus slave address)

There are usually up to 10 of these modules connected together, so I need a way of uniquely addressing each one,

and allocating them an address in the range above without a duplicated address.

e.g. unique serial number: CT1400-523

My...

Read more]]>

a + b + ab = 16]]>