I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
Answer:
$30.86
Step-by-step explanation:
28.45+( 28.45*0.085)
28.45+2.41
30.86
In your situation you said that
Putting those together, you'd have
because
.
To evaluate the difference quotient, first find each piece on it's own:
because
no matter what your x-value is.
So putting those together:

Remember that the difference quotient is basically finding the slope of something. Since you were given that the slope is 0, the difference quotient should work out to match that.
Answer:
Step-by-ste
Oh, oh! This is such a tricky question...
Guess what!
Both of them are correct. Why?
Because if we simplify 3/12, we get 1/4th!
(How do you simplify?)
3/12 = 1/4
Because if we divide both "3" and "12" in 3/12 by 3, we get 1 instead of 3 and 4 instead of 12.
I hope you've got it! ;)