Question

Find the d.f.t of two finite sequences f[n]= -3,-1,-7 and g[n]= 4, 0, 1/2. and find the convolution.

thank you

Answer #1

Given F(2) = 1, F'(2) = 7, F(4) = 3, F′(4) = 7
and G (4) = 2 , G′(4)= 6, G(3)= 4, G′(3)=11,
find the following.
(a) H(4) if H(x) = F(G(x))
H(4) =
(b) H′(4) if H(x) = F(G(x))
H′(4) =
(c) H(4) if H(x) = G(F(x))
H(4) =
(d) H′(4) if H(x) = G(F(x))
H'(4)=

Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0 (1) =
1, f0 (2) = 4, g0 (1) = 8, g0 (2) = −4.
(a) Suppose h(x) = f(x^2 g(x)). Find h 0 (1).
(b) Suppose j(x) = f(x) sin(x − 1). Find j 0 (1).
(c) Suppose m(x) = ln(x)+arctan(x) e x+g(2x) . Find m0 (1).

Given a matrix F = [3 6 7] [0 2 1] [2 3 4]. Use Cramer’s rule to
find the inverse matrix of F.
Given a matrix G = [1 2 4] [0 -3 1] [0 0 3]. Use Cramer’s rule
to find the inverse matrix of G.
Given a matrix H = [3 0 0] [-1 1 0] [-2 3 2]. Use Cramer’s rule
to find the inverse matrix of H.

Q) Find f.
f''(x)= −2+36x−12x^2, f(0)=7,
f'(0)=12
f(x)=
Q) Find f
f''(t)=sint+cost, f(0)=2, f'(0)=3
f(t)=
Q) Find f
f''(x)=20x^3+12x^2+4, f(0)=4, f(1)=2
f(x)=

1.Find ff if
f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos(x),f(0)=−7,f(π/2)=7.
f(x)=
2.Find f if
f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,
and f(π/3)=2.f(π/3)=2.
f(x)=
3.
Find ff if f′′(t)=2et+3sin(t),f(0)=−8,f(π)=−9.
f(t)=
4.
Find the most general antiderivative of
f(x)=6ex+9sec2(x),f(x)=6ex+9sec2(x), where −π2<x<π2.
f(x)=
5.
Find the antiderivative FF of f(x)=4−3(1+x2)−1f(x)=4−3(1+x2)−1
that satisfies F(1)=8.
f(x)=
6.
Find ff if f′(x)=4/sqrt(1−x2) and f(1/2)=−9.

1. Find the radius of convergence for:
∞∑n=1 (−1)^n x^n / √n+9
2. If f(x)=∞∑n=0 n /n^2+1 x^n and g(x)=∞∑n=0 (−1)^n n /n^2+1
x^n, find the power series of 1/2(f(x)+g(x)).
∞∑n=0 =

5. Part I
If f(x) = 2x 2 - 3x + 1, find f(3) - f(2).
A. 0
B. 7
C. 17
Part II
If G( x ) = 5 x - 2, find G-1(x).
A. -5x + 2
B. (x + 2)/5
C. (x/5) + 2
Please help me solve this problem and if you can please also
show or explain how you got that answer. Thank you! :)

4. Let f : G→H be a group homomorphism. Suppose a∈G is an
element of finite order n.
(a) Prove that f(a) has finite order k, where k is a divisor of
n.
(b) If f is an isomorphism, prove that k=n.

Suppose that 4?/(7+?)=∑?=0∞????.4x/(7+x)=∑n=0∞cnxn.
Find the first few coefficients.
?0=c0=
?1=c1=
?2=c2=
?3=c3=
?4=c4=
Find the radius of convergence ?R of the power series.
?=R=

Consider the functions f(x) and g(x), for which f(0)=2, g(0)=4,
f′(0)=12 and g′(0)= -2
find h'(0) for the function h(x) = f(x)/g(x)

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