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oh wait i missed out the definite integrals, its between pi and 0
the answers says 2pi/3
xSin(x^3)
pls help!
A small restaurant seats 20 diners and is full every night. There are only 12 steaks available and 40% of diner tables will request a steak, indepedent of each other.
one table can only order one steak.
If a customer orders a steak, what is the probability that he/she will recieve it?
Any tips? I can't seem to get the answer which is actually 0.996315 to 6sf
hi people!
Im nevin and im from new zealand!
im 17 and desperately trying to understand calculus in my high school at the moment
my teacher is quite retarded in that he only has a degree in psychology and
doesnt know much beyond differentiation
this is why you guys will be my best teachers!!!
thanks for helping me
hi guys me again!
Q- Jack and Morgan are gambling, on a roulette wheel there are 10 blacks and 30 reds, they both take turns at spinning the wheel, the first person to land their dice on black wins.
If jack goes first, what is his probability of winning?
so i figured out this is a summation question to infinity
b=1/4 r=3/4
the probability would be
b+brr+brrrr+brrrrr.....
so b+ b(sum of n=0 n=inf)(r^2)^n
where r<1
now how do i solve this?
sorry i don't know how to write the summation notation on here!
now how do i solve this?
yea i would think there is a print error
the origional problem was probably what gAr said it was
the book is pretty darn useless at explaining stuff
thanks for the help guys!
hi bob bundy, thanks for helping
so i expand 1/3(1/3x2+1)^-1
i still get the terms in fractions with convergence of every value of x
1/3-(x^2)/9+(x^4)/27-(x^6)/81.....
can you please explain how the answer is different?
which is 3-9x^2+27x^4-81x^6.... true for -sqrt3>x>sqrt3
how did the terms not have fractions?
thanks for your reply
so the question is expand 1 / (x^2+3)
so i take 1st term as x^2, 2nd term as 3 and power as -1
using binomial series i got-
1/3-(x^2)/9+(x^4)/27-(x^6)/81..... true for all values of x???
but the answer says-
3-9x^2+27x^4-81x^6.... true for -sqrt3>x>sqrt3
??? why does that happen?
is it to do with requirements of convergence or am i just wrong?
so how do i calculate the valid values of x for convergence?
thanks for your help bobby now i understand!
hi guys, so i understand that the product rule can be applied
when finding dy/dx for-
y=f(x)g(x)
then dy/dx=f'(x)g(x)+g'(x)f(x)
but what happens if you are trying to find dy/dx for
y=f(x)f(u)
where u is a function of x as well?
for example y=f(x) (ln g(x))
do you use chain rule or is it just the same thing?
hi guys, im stuck on a question
find dy/dx for equation
y=(8x)^(x-2)
i think im missing a rule to differentiate y=f(x)^g(x)
please help
thnx
mathsyperson- thnx for the solution! ya your right it means intersect only inside the circle. i kinda thought it was something like that but didn't think it was equal in probability haha. thnx everyone
a circle has it's circumference evenly distributed with 2010 dots, 4 dots chosen at random are a,b,c,d
find the probability of line segments a-b intersecting with c-d!
i don't know how to do it please help me!