Consider the function f(t)=10sec^2(t)−3t^3
Let F(t) be the antiderivative of f(t) with F(0)=0. Then
F(t)=...
Consider the function f(t)=10sec^2(t)−3t^3 Let F(t) be the antiderivative of f(t) with F(0)=0. Then F(t)=...
(1 point) Consider the function f(t) = 10 sec?(t) – 6t". Let F(t) be the antiderivative of f(t) with F(0) = 0. Find F(t).
6 (1 point) Consider the function f(x) = 1 Let F(2) be the antiderivative of f(x) with F(1) = 0. Then F(3) equals 1111
2t +1 if 0 <t< 2 Consider f(t) = { | 3t if t > 2. (a) Use the table of Laplace transforms directly to find the Laplace transform of f. (b) Express f in terms of the unit step function, then use Theorem 6.3.1 to find the Laplace transform of f.
Consider the function f(t)= -r< t〈0, with fit (a) Sketch f(t) by hand for-3r 〈 t 〈 3T. (b) Determine the general Fourier Series for f(t)
Consider the function f(t)= -r
3. Consider the function f(t) = ' π2 , with f(t) = f(t +2r). 0<t<π (a) Sketch f(t) by hand for-3r < t < 3T. (b) Determine the general Fourier Series for f(t). (c) Use MATLAB to plot f(t) and the n = 4 Fourier series representation on the same set of axes for -t<T
' cos(3t), t<n/2, 2. Let f(t) = sin(2t), 7/2<t< , Write f(t) in terms of the unit step e3 St. function. Then find c{f(t)}.
Find the Laplace transform of the function f(t). f(t) = sin 3t if 0 <t< < 41; f(t) = 0 ift> 41 5) Click the icon to view a short table of Laplace transforms. F(s) = 0
Given a continuous periodic function f ( t ) with period 3 T,
let F ( s ) be the Laplace transform of f ( t ). Identify the
correct expressions for A and B which make the formula for the
Laplace transform of f ( t ) correct:
F ( s ) = ∫ 0 A f ( t ) e − s t d t 1 − e B
Group of answer choices
Given a continuous periodic function...
3. Consider the periodic function defined by f(x) =sin(r) 0 x<T 0 and f(x) f(x+27) (a) Sketch f(x) on the interval -3T < 3T (b) Find the complex Fourier series of f(r) and obtain from it the regular Fourier series.
3. Consider the periodic function defined by f(x) =sin(r) 0 x
Also :
FS (2.8)
FS (4)
FS (5)
The function f(t) is defined by -3t+6, 0<t<4 f(t) = -3, 4 < t < 5. Let f (t) denote the periodic extension of f(t), with period 5. Evaluate f (-2.3), f (O), f (7.5), f (9.2) and state the value to which the Fourier series of f (t), FS(t), converges for each of the following values: t = 0,t = 2.8, t = 4, t = 5. Enter all your answers...