4 a) Find the Fourier Integral representation of ?(?) = 1 ?? |?|
< 1
0 ?? |?| > 1
b) Find the Fourier Sine Transform of ?(?) = ? −|?| . Hence
evaluate ∫ ?????? 1+?2 ??.
Consider the following functions. f(x) = x − 3, g(x) = |x +
3|
Find (f ∘ g)(x).
Find the domain of (f ∘ g)(x). (Enter your answer using interval
notation.)
Find (g ∘ f)(x).
Find the domain of (g ∘ f)(x). (Enter your answer using interval
notation.)
Find (f ∘ f)(x).
Find the domain of (f ∘ f)(x). (Enter your answer using interval
notation.)
Find (g ∘ g)(x).
Find the domain of (g ∘ g)(x). (Enter your answer using...
find the power series representation of each of the following
functions and give an interval of convergence for each one. assume
that the center of each series is that a=0
a) xsin(x^2)
b) f(x)= e^(-x^10)
correction : a) f(x)=xsin (x^2)
A. Find the indefinite integral.
B. Find the indefinite integral.
C. Find the derivative.
f(x) = x6 ·
log3(x)
Give your answer using the form below.
xA(B + C
logD(x))
A =
B =
C =
D =
D. Find the indefinite integral.
E. Find the area under the curve below from x = 1 to
x = 2. Give your answer correct to 3 decimal places.
F. Find the area under the curve below from x = 0 to...