Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. Another classification is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for. Similarly, one may distinguish formal or fact-based problems requiring psychometric intelligence, versus socio-emotional problems which depend on the changeable emotions of individuals or groups, such as tactful behavior, fashion, or gift choices.Solutions require sufficient resources and knowledge to attain the goal. Professionals such as lawyers, doctors, and consultants are largely problem solvers for issues which require technical skills and knowledge beyond general competence. Many businesses have found profitable markets by recognizing a problem and creating a solution: the more widespread and inconvenient the problem, the greater the opportunity to develop a scalable solution.
There are many specialized problem-solving techniques and methods in fields such as engineering, business, medicine, mathematics, computer science, philosophy, and social organization. The mental techniques to identify, analyze, and solve problems are studied in psychology and cognitive sciences. Additionally, the mental obstacles preventing people from finding solutions is a widely researched topic: problem solving impediments include confirmation bias, mental set, and functional fixedness.
This question is from the book Kleppner and Kolenkow Q 3.8:
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My attempt is posted here:
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The value of a(minimum) that I'm getting is different from the official solution. The official solution is posted here...
My question is on the highlighted part (circled in red);
Why is it wrong to pre-multiply each term by ##e^x##? to realize ,
##5e^{2x} -2-9e^x=0## as opposed to factorising by ##e^{-x} ## ?
The other steps to required solution ##x=\ln 2## is quite clear and straightforward to me.
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I hope this message finds you all well.
I am writing to you to address what I think are inaccuracies in my English transcript of the courses I have studied in my university, which is my courses’ titles are not correct. For example, "General Mathematics 1" should actually...
I was looking for videos, or post on how to do a physics home work problem. Ended up finding a similar post on this website. It didn't quite answer my question, but I thought I could post here to figure it out.
I figure one can dig around for plenty of quality problems online, but I'm hoping to skip right to the good stuff by you posting your favorite real analysis problems from college, internet, textbook, dream, imagination, etc. It would be so helpful to get some comments this time, and please don't...
Is necroposting seen as a problem here on PF? Screenshot below from another forum shows an approach to avoiding necroposts, at least those unintentional ones.
I honestly do not understand this question, my thoughts;
ignoring the diagram and using algebra i can see that the step size [1,5] → [2,6] can be found by adding 1 (common difference) to each number meaning that the answer is A...
...the other options B,C,D and E can not be related by a...
Hello,
Looking for help with a physics problem.
I am dealing with a problem regarding the flow discharge between 2 open water bodies connected by a concrete sluice with gates. The issue is that the channel is not straight but rather a trapezoid (image of the cross-section below). The discharge...
Feynman, in the third volume of his Lectures on Physics, chapter 1, presents bullets and waves in two different diagrams, Fig 1-1 and 1-2 respectively.
https://www.feynmanlectures.caltech.edu/III_01.html
It is obvious that bullets are counted individually, the detector registering each hit...
I came across this very interesting Thermodynamics problem in PhysicsStackExchange. It was deleted by the OP because the moderators, in their infinite wisdom, gave him a hard time about its being a homework problem which was, in their opinion, a "check my work" post, rather than a "I'm having...
Please note that the system is not in equilibrium, and that tension must be solved for the instant where the angle is 154 degrees.
My attempt (correct ans is Ft = 626N)
Hi everyone, I would help in such problem. i have tried to use a fresh card, but it always gives an illegal data signal am using mcnp6. here is my fmesh code. thanks
FMESH44:n GEOM=X Y Z ORIGIN=-10 -10 -10
IMESH=-50 IINTS=5
JMESH=50 JINTS=11
KMESH=50 KINTS=8
EMESH= 1e-7...
Hello! Using concepts of physics 1 like kinamatics, dynamics, circular motion, pressure, newton's laws. Make me a physics question that needs basic calculus like integrals and derivaties to solve!
I got c=13, but I'm using an app that, at the 'diagnostic' stage, doesn't tell you if you're correct or not
(I multiplied the first equation by 4, and the second by 2, then subtracted the second from the first)
I did this too fast idk if I'm wrong
So for the x component
use the formula d = rt / delta x = v*t
26 = vcos(theta)
y component
use the displacement formula
19.6 = vsin(theta)
tan^-1(19.6/26) = 36.5 degrees
the answer key says 20.2 degrees idk whats wrong
I guess the first one is wrong.
Because in this cycle we have ##|Q_H| > |Q_L|## then ## |Q_L| - |Q_H| ## is negative and caanot be equal with ##|W|##.
Am I right?
m1 = unknown
m2 = 0.05 kg
x = 0.38 m
T = 0.8s
Tried to plug in values into the above equations:
0.8 = 2pi*sqrt(m1+0.05/k)
k = ((m1+0.05)*9.8)/0.38
Got negative values for both k and m which doesn't make sense
Hello guys, in my work we have a problem detected in the clutch drum (automatic gearbox) : indentations in the contact of the clutch drum and the circular plate, wefound that the hardness of the circular plate is higher than the clutch drum, do you guys have some propositions to solve this?
Hello. Sorry if the title is a bit vague.
I'm doing this challenge (google foobar) and even though it's not very elegant to ask for help, it's not like I'm going to win any kind of prize for it. In any case I'd like some suggestions since my current solution fails 2 tests on 5. The most...
Would anyone be able to help with this Newtons law problem
Block A rests on top of block B as shown in (Figure 1). The table is frictionless but there is friction (a horizontal force) between blocks A and B. Block B has mass 6.00 kg and block A has mass 2.00 kg. If the horizontal pull applied to...
I really do not understand what they are asking here...wording here in english is a bit confusing to me...but from similar examples, i made use of the approach below (which i still do not understand) hence my post.
##\dfrac{30π}{60 ×180} = \dfrac{0.0254}{d}##
##d = \dfrac{274.32}{30π}##
##d=...
If the veil stretches prefectly, then when the princess moves by ##\Delta x##, then if the spider was not moving, he would also move by ##\Delta x## from the door, so he would be in the same distance from the princess. So assuming it, the time would be ##t_f=\frac {l_0}{u}## but that is no...
I get PF to work just fine with Chrome and Edge but it's a mess with Firefox. I've cleared the cache, closed Firefox and opened it again. No joy. Anyone else using Firefox here and NOT having problems?
Also, FYI, I'm using Windows 10 and Firefox says I have the latest version
Its a bit clear; i can follow just to pick another polynomial say
##(x+1)^3## are we then going to have ##(2x-2)+ x+3##?
or it has to be a polynomial with
##x^2+1## being evident? cheers...
[Mentor Note -- Two threads on the same by the OP have been merged into one]
I'm having trouble understanding the solution my professor gave me, in particular, the accelerations of m_2 and m_1. When my professor solved for the acceleration of m_2, he used a as the acceleration but when I look...