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...
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...
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)