steve2005 (Offline)

HI, i need some help to confirm the following statements
1/(1-z^2)=1+z^2+O(z^4) as z goes to infinity
1/(1-z^2)=-1/z^2+O(1/z^4) as z goes to infinity

Need help

Small hard particles are found in the molten glass from which glass bottles are made. On average, 15 particles are found per 100 Kg of molten glass. If a bottle contains one or more such particles it has to be discarded.

Suppose bottles of mass 1 kg are made. It is required to estimate the percentage of bottles that have to be discarded. Critisise the following 'answer' : since the material for 100 bottles contains 15 particles, approximately 15% will have to be discarded.

Making suitable assumptions, which should be stated, develop a correct argument using the poission model, and find the percentage of faulty 1 kg bottles to three significant figures.

Show that about 3.7% of bottles of mass 0.25 kg are faulty.

Hello on speed time graphs, I am always having problems with the times that they give. For example, lets look at this problem:

A car moves along a horizontal straight road, passing two points A and B. At A the speed
of the car is 15 m s–1. When the driver passes A, he sees a warning sign W ahead of him,
120 m away. He immediately applies the brakes and the car decelerates with uniform
deceleration, reaching W with speed 5 m s–1. At W, the driver sees that the road is clear. He
then immediately accelerates the car with uniform acceleration for 16 s to reach a speed
of V m s–1 (V > 15). He then maintains the car at a constant speed of V m s–1. Moving at
this constant speed, the car passes B after a further 22 s.

(a) Sketch, in the space below, a speed-time graph to illustrate the motion of the car as it
moves from A to B.

When sketching these graphs, I am always having troubles distinguishing between the meaning of "for 16 seconds " and "further 22 seconds". If it says "for" does that mean that the time is for that particular block and if they say "further " does that mean that you add on the time from the end of the previous block.

I got the right answers but it was simply I guess due to chance. I feel i dont have the real understanding. "for " and further' is always getting me confused. HELPPPPPP>?

Hi, i'm a bit stuck on the following question...Hope you won't mind giving me some hints
does the series s_n=((n!)^(100))/(2^(n*(n+1))/2) converge? show all rour working.
I hope hearing from you soon

Hi, can you please differentiate (x+3)e^-x for me please?

Thank you so much, big help, can you just help me with one last question?

Hello

Sir, Thank you very much, I fully understand the method in time for my exam tomorrow, really do appreciate it.

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