Yo sup??
For our convenience let h=x+1
therefore
when x tends to -1, h tends to 0
hence we can rewrite it as

This inequality is of the form 1∞
We will now apply the formula

plugging in the values of g(x) and f(x)

express coth² as cosh²/sinh² and also write cosh-1 as 2sin²(h/2)
(by applying the property that cos2x=1-sin²x)
After this multiply the numerator and denominator with h² so that we can apply the property that

Now your equation will look like this.

We will now apply the result

where x=h²
we get

we now multiply the numerator and denominator with 4 so that we can say



Apply the limits and you will get


Hope this helps.
Answer:
Effective annual yield = 0.05094534 or 5.094%
Step-by-step explanation:
Given:
Rate of interest (r) = 5% = 0.05
Interest = compounded quarterly
Find:
Effective annual yield = Y
Computation:

Effective annual yield = 0.05094534 or 5.094%
Answer:
9.19
Step-by-step explanation:
Using Law of sines to find other two lengths:
a/sinA=b/sinB
let a be length of side unknown and b be hypotenuse then sinB=sin90 and sinA=sin45
a/sin45=13/sin90
a=13sin45
a=13(0.707)
=9.19
As the given triangle is isosceles hence the length of other two legs will be same i.e 9.19 !