Prove that you can write:
sum(n=1 to infinity) 1/n^s = (a/b)π^s,
where a/b is some rational number.-This is possibly false in general (though I know of no *proof* of this), and certainly an open ques
Which of the following is a basis for P2 and why?
a. {x^2, x+1, x^2+x+1}
b. {x, 1, 0}
c. {x^2+x+1, x^2+x, x+1}
d. {x^2, x, 1, 0}
I know a basis exists when two conditions are met: linear independenc
Im not sure if i am solving this question right and if someone could point me in the right direction that would be awesome!
dP/dt=0.3(1-(P/200))((P/50)-1)P
a)For what values of P is the population i
Thank you so much, just wanted to check my answer, an explanation of your work would be very helpful!-(6, 8)
RT is the diameter so passes from R, through P, to T. The distance along X from R to P wil
11√21 + 3√28
if you can help me, i will love you forever-11√21 + 3√28
3√28 = 3 * √4 * √7 = 3 * 2 * √7 = 6√7
11√21 + 6√7
thats as far as you can go,
you can factor it though
11*√3*√7 + 6*√7
√7 *
In order to calculate this integral, we need to use integration by parts.
By pulling out the 2:
∫ 2sec^3(x) dx = 2 ∫ sec^3(x) dx.
Next, integrate ∫ sec^3(x) dx by parts with:
u = sec(x) ==> du = sec
Heyy, stuck on this question:
Consider the relation between x and y that consists of all points
such that the distance from to the origin is 5.
a) Is (4, 3) in the relation? Explain.
b) Is (1, 5) in
how many grams of a 50% - silver alloy shoould be mixed with a 75% -silver alloy to obtain 40 grams of a 60%- silver alloy?i got the answer in the back of the book, i just need help solving it. thanks
Do you mean 40% of the original price?
$20 x 40% = $8
20 x 0.40 = 8
Or do you mean the discount is 40% off?
$20 - $8 = $12
(we already established that 40% of $20 is $8)
I dont need the numerical answer, I know its 1. What I dont know is how to get there. I know perfectly well how to use Lhopitals rule for fractions, but again, Im stumped on this.-Use logarithms. (Thi
please help me im struggling with this :(!!
here are the directions:
1. you will use my birthday 10/20/1997
2. create math problems using all the digits in my birthday to equal 24.
*2 of the problems
Let r denote the radius of the cylinder and h denote the height.
Since the volume of the cylinder is 100π cm^2:
V = πr^2*h = 100π ==> r^2*h = 100 and r^2*h - 100 = 0.
We want to minimize:
SA = 2πr^
Tommy can make 2 boxes/hr
Sarah can make 4 boxes/hr
Jessie can make 5 boxes/hr
When they all work together, how long will it take to make 1 box?-Add their individual rates to figure out how fast they
