## MongoDB ticket availability reaching zero

I recently came across intresting issue. I have a sharded cluster which has two replication sets with 2 secondaries. On my primaries, there were 300-400 connections at a point in time, shortly after sometime around a minutes spane, there were almost read and write connections in total 1200 spiked over primaries. Read and write ticket availability went down to 0 for few seconds. Cluster was non responsive during that time. Cluster usually handels more load then this during month end. Any suggestions to find cause of this issue?

## What does it mean if you take the zero vector in the hyperplane separation theorem?

If you have two disjoint sets V and W, which are compact and convex, then by the separation theorem there exists a vector u such that uv< uw.

However what does it mean if you take u=0?

## Second derivative Test becomes zero

Consider the domain 𝐷 = { (𝑥,𝑦) ∈ ℝ2:𝑥 ≤ 𝑦 } and the function ℎ: 𝐷 → ℝ defined by $$ℎ((𝑥,𝑦)) = (𝑥 −2)^4 +(𝑦−1)^4$$,(𝑥,𝑦) ∈ 𝐷. find the minimum value of h in the domain D , a) $$1/2$$
b) $$1/4$$
c) $$1/8$$
d) $$1/16$$

My work:
$$f′(x) = 4(x-2)^3$$
$$f′(y) = 4(y-1)^3$$
$$f”(x) = 12(x-2)^2$$
fxy = $$4(y-1)^3$$ (partial derivative of x,y)
Critical points are x = 2 and y = 1 ,
Performing second derivative test with x = 2 and y = 1 I get zero , How do I proceed and where have I gone wrong? kindly help . The answer is Option C: 1/8

## Is this function increasing in some neighborhood of zero.

Consider $$f(x)= x+x^2\sin(π/x)$$

Does this monotonic in some neighborhood of zero?

I think it isn’t as $$x^2\sin {\pi/2}$$ oscillates near zero. Even though amplitude of oscillation decreases,the function cannot be monotone.

But how can i prove this?

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## I have a “non zero exit code (101) issue

I installed python 3.7.2 64 bit for windows, and I also downloaded the embedded files. I also downloaded pycharm. When I tried to create a project in pycharm I got a “non zero exit code(101)” error. The command output is {unable to create process using ‘C:\Users\Chana Riva\AppData\Local\Programs\Python\Python37\python.exe “C:\Program Files\JetBrains\PyCharm Community Edition 2018.3.2\helpers\packaging_tool.py” list’}

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You're Bidding on fully Automated NEWS business Potential earning is up to $3000/week NO EXPERIENCE NEEDED! ——————————————————- WHY SHOULD YOU BID ON THIS… KILLER DESIGN ! 100% Automated NEWS Business – ZERO WORK ## sort a mysql result order depending if it’s zero or not I have a mysql table which has values and dates, this is what I'm trying to accomplish in the mysql query: sort value DESC, (value>0 ? date asc : date desc) It will sort all values descending, then the equal values will be sorted by date ascending/descending depending if their value is zero or not I tried a lots of combinations, but failed miserably ## Non zero solution of$3x\cos(x) + (-3 + x^2)\sin(x)=0\$

Ho can I find exact non-zero solution of $$3x\cos(x) + (-3 + x^2)\sin(x)=0$$. Its plot shows, it has many non-zero solutions.