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1. h[n] = 0; n < 0, n > 2, h[0] = 1, h[1] = h[2] = - 1
2. h[n] = 0; n < -1, n > 1, h[-1] = 1, h[0] = h[1] = 2
3. h[n] = 0; n < 0, n > 3, h[0] = -1, h[1] = 2, h[2] = 1
4. h[n] = 0; n < - 2, n > 1, h[- 2] = h[1] = h[-1] = - h[0] = 3
h[n] = 0; n < 0, n > 2, h[0] = 1, h[1] = h[2] = - 1
1. (1 - h/H)2 dr
2. (1 - h/H)2 dh
3. H(1 - r/R) dh
4. H (1 - (r/R))2 dr
H (1 - (r/R))2 dr
1. y1[n] ↔ Y1(z) =
2. y2[n] ↔ Y2(z) =
3. y3[n] ↔ Y3(z) =
4. y4[n] ↔ Y4(z) = 2z-4 + 3z-2 + 1
y1[n] ↔ Y1(z) =
1. 17√2
2. 17/√2
3. √(2)/17
4. 0
0
1. only when x (t) is bounded
2. only when x (t) is non-negative
3. only for t ≥ 0 if x (t) is bounded for t ≥ 0
4. even when x (t) is not bounded
even when x (t) is not bounded
1. has no finite singularities in its double sided Laplace Transform Y (s)
2. produces a bounded output for every causal bounded input
3. produces a bounded output for every anticausal bounded input
4. has no finite zeroes in its double sided Laplace Transform Y (s)
produces a bounded output for every causal bounded input
1. Pr (r > 6) = 1/6
2. Pr (r/3 is an integer) = 5/6
3. Pr (r = 8 | r/4 is an integer) = 5/9
4. Pr (r = 6 | r/5 is an integer) = 1/18
Pr (r = 8 | r/4 is an integer) = 5/9