We are given the following function and want to find the y-intercept:
Just substitute the value x=0 into the equation to find the value of the y-intercept:
Simplify
Simplify again
Since the value of f(x), or y, when x=0 is 66, the y-intercept of this function is 66.
Let me know if you need any clarifications, thanks!
~ Padoru
Replace x with π/2 - x to get the equivalent integral
but the integrand is even, so this is really just
Substitute x = 1/2 arccot(u/2), which transforms the integral to
There are lots of ways to compute this. What I did was to consider the complex contour integral
where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be
which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit
and it follows that
Answer:
The value of x is:
Step-by-step explanation:
we have to use the quadratic formula to solve for x.
The equation is given as:
which could also be written as:
The quadratic formula for the quadratic equation of the type:
is given as:
Here we have:
a=4, b=-5 and c=8.
Hence, by the quadratic formula we have:
Hence, the value of x is: