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but how can I draw a man in the diagram ?? :/
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Thanks! But do i need to always do a third differential if the second differential is zero?
You find minimum/maximum of something by differentiating it, and equating the derived formula to zero. Thus to find the minimum of the GRADIENT you need to differentiate dy/dx. This would be 1-8/x^3 and this would be equal to zero when x = 2 . So how do we decide if it's a minimum or a maximum?Thanks! But do i need to always do a third differential if the second differential is zero?
I thought zero may just show that it's positive therefore minimum? or since zero can be positive or negative, you do a third differentiation?
Thanks!You find minimum/maximum of something by differentiating it, and equating the derived formula to zero. Thus to find the minimum of the GRADIENT you need to differentiate dy/dx. This would be 1-8/x^3 and this would be equal to zero when x = 2 . So how do we decide if it's a minimum or a maximum?
There are various ways, one of them would be substituting in the derived equation with a value smaller than 2 and a value greater than 2. If you do so with x =1 and 3 for example, you'd find that the derived formula changes from a negative(decreasing gradient) to a positive (increasing gradient) i.e. a minimum.
Another method would be simple substitution in the gradient equation. Since it's either a minimum or a maximum at x =2, compare the gradient with any value of x and that of 2 ( The second part of the question ), if the gradient of 2 is smaller then it must be a minimum, and that's the case given.
When u get 0 try 3rd diff... for no error.Thanks!
But then you've differentiated d^2y/dx^2 = 1-8/x^3 again to give 24x^-4 to show that this gives a positive value, therefore minimum.
So third differentiation is also a method to find minimum/maximum right?
Assalamualaikum,
I have 2 doubts which are from phy p4. Please help me with them.
Here are the questions.
Please solve them asap.
http://onlineexamhelp.com/wp-content/uploads/2012/05/9702_s04_qp_4.pdf
Q#3(c)(ii), how is the ratio 3/4?
i need help with p2 o/n 14 q1 c, q2 iii
They will assume that u were confused and give no marks.Hey guys, suppose I'm not sure of the answer for a question and I write 2 varied answers for it.
Suppose one of then is correct and the other one is wrong.
Would i get marks for the correct answer or would they not give me any marks since I also have the wrong answer written?
Walaikumassalam,
For the first question:
compression of ideal gas at a constant temp: the gas if being compressed so work is being done on the gas molecules to bring them closer right? So w is +. Now it is said that temp is constant, but it is obvious that the temp will increase when the gas molecules are brought closer due to more frequent collisions, so to keep the temp constant, we have to cool it down i.e. we're removing thermal energy so q is -. Now, acc to the law of thermodynamic, (-)+(+) = 0. Thus, U is 0.
the heating of a solid with no expansion: When you're heating the solid, obviously you're supplying it with thermal energy so q is +. But it is said that it's done with no expansion i.e. no work is done on the solid particles, so w is 0. Overall, internal energy is increasing due to the particles vibrating faster due to greater thermal energy thus U is +.
the melting of ice at 0 degree C to give water at 0 degree C: for melting, the hydrogen bonds between ice has to be broken thus thermal energy is supplied to do so thus q is +. Now, no work is done in compressing the water molecules of ice. Thus w is 0. Overall, U is +.
Oh man... no luck in guessing thenThey will assume that u were confused and give no marks.
View attachment 52907
Can anyone answer the question plz
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