Question

4. Find $x(t) * h(t)$ if: (a) 1 x(t) 2? t (b) x(t) 1 2 t h(t) -? ? t $h(t) = \begin{cases} \sin(t) & -? < t < ? \\ 0 & \text{otherwise} \end{cases}$ h(t) 2 1 1 2 t

          4. Find $x(t) * h(t)$ if:
(a)

1
x(t)

2?
t

(b)

x(t)

1

2
t

h(t)
-?
?
t

$h(t) = \begin{cases} \sin(t) & -? < t < ? \\ 0 & \text{otherwise} \end{cases}$

h(t)
2
1
1
2
t

4. Find x(t) * h(t) if:
(a)

1
x(t)

2?
t

(b)

x(t)

1

2
t

h(t)
-?
?
t

h(t) = sin(t) -? < t < ?
0 otherwise

h(t)
2
1
1
2
t

Added by Hunter T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Krystal K

Step 1

Given x(t) = 1 and h(t) = sin(t) for t > 0, and h(t) = 0 for t <= 0, we can write the convolution integral as: x(t) * h(t) = ∫[0, t] x(τ)h(t-τ) dτ Since x(t) = 1 for all t, the integral simplifies to: x(t) * h(t) = ∫[0, t] h(t-τ) dτ Now, let's consider the Show more…

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