Question

For the signal $x(t)$ shown below, sketch the following and indicate what operation is performed. 4- 2 $x(t)$ 0 2 (a) $x(t - 4)$ (b) $x(-t)$ (c) $x(2 - t)$ (d) $x(2t)$ (e) $x(t/1.5)$ (f) $\frac{dx(t)}{dt}$ HINT: Derivative of a function at the jump discontinuity is equal to an impulse of strength equal to the amount of discontinuity.

          For the signal $x(t)$ shown below, sketch the following and indicate what operation is performed.

4-
2
$x(t)$
0
2

(a) $x(t - 4)$
(b) $x(-t)$
(c) $x(2 - t)$
(d) $x(2t)$
(e) $x(t/1.5)$
(f) $\frac{dx(t)}{dt}$

HINT: Derivative of a function at the jump discontinuity is equal to an impulse of strength equal to the
amount of discontinuity.

For the signal x(t) shown below, sketch the following and indicate what operation is performed.

4-
2
x(t)
0
2

(a) x(t - 4)
(b) x(-t)
(c) x(2 - t)
(d) x(2t)
(e) x(t/1.5)
(f) (dx(t))/(dt)

HINT: Derivative of a function at the jump discontinuity is equal to an impulse of strength equal to the
amount of discontinuity.

Added by Chelsea A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sachin Rao

Step 1

So, the resulting signal x(t-4) will have the same shape as x(t), but it will be shifted to the right by 4 units. Show more…

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For the signal x(t) shown below, sketch the following and indicate what operation is performed: x(t) (a) x(t-4) (b) x(-t) (c) x(2-t) (d) x(2t) (e) x(t/1.5) (f) x'(t) HINT: The derivative of a function at a jump discontinuity is equal to an impulse of strength equal to the amount of discontinuity.