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Explain the Following in Detail
(1) If X~F[n, m], Y =*~F[m, n].- (2) If T~t[n], T2~F[1,...
(1 point) Consider the function f(x) = Es cos(t) – 1 t2 dt. Which of the...
(1 point) Consider the function f(x) = Es cos(t) – 1 t2 dt. Which of the following is the Taylor Series for f(x) centred at x = 0? 2n-1 Α.Σ (-1)" (2n – 1)(2n)! X +C. n=0 oo 2n-1 B. (-1)" (2n – 1)(2n)!" X n=1 (-1)" X20-2 (2n + 1)! M n=1 D. iM: (-1)"(2n – 2), 2n–3 (2n)! X n=1
T has cumulative distribution function F(t) = 1-(2/t)?, t> 2 otherwise Let Y = T2 and...
T has cumulative distribution function F(t) = 1-(2/t)?, t> 2 otherwise Let Y = T2 and let g(y) be the pdf of Y. Find g(y) for y> 4. A. 8/43 B.8/43/2 c. 4/y? D. 16/y E. 1024/y: Reset Selection
(1 point) Consider the function f(x) = f* cos(t) – 1 dt. t2 Which of the...
(1 point) Consider the function f(x) = f* cos(t) – 1 dt. t2 Which of the following is the Taylor Series for f(x) centred at x = 0? w A. (-1)" (2n – 1)(2n)! -x2n- +C. n=0 (-1)"(2n – 2) 2n–3. B. (2n)! n=1 c. Σ (-1)" (2n + 1)! -x2n-2 n=1 D. Š (-1)" -X2n-1 (2n – 1)(2n)! n=1
Q9 (Approximation of π) (a) Show that 1/1 + t2 = 1 − t2 + t4 − ... + (−1)n−1 t 2n−2 + (−1)n t2n /1 + t2 for all t ∈ R and n ∈ N. (b) Integrate both side in (a), show that tan−1 (x) = x − x3/3 + x5 /5...
Q9 (Approximation of π) (a)
Show that 1/1 + t2 = 1 − t2 + t4 −
... + (−1)n−1 t 2n−2 + (−1)n
t2n /1 + t2 for all t ∈ R and n ∈ N.
(b) Integrate both side in (a), show that tan−1 (x) =
x − x3/3 +
x5 /5 − ... + (−1)n−1x 2n−1/ 2n −
1 + Z x 0 (−1)n t2n /1 +
t2 dt.
(c) Show that tan−1 (x) − ( x...
Solve f, g, l, m x{n - 1] = 1.30. Determine if each of the following...
Solve f, g, l, m
x{n - 1] = 1.30. Determine if each of the following systems is invertible. If it is, construct the inverse system. If it is not, find two input signals to the system that have the same output. (a) y(t) = x(t - 4) (b) y(t) = cos(x(t)] (c) y[n] = nx[n] (d) y(t) = x(t)dt ( x[n - 1], n>1 (e) y[n] = {0, n = 0 (f) y[n] = x[n]x[n – 1] ( x[n],...
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83, 2) with 0 2 t 1l F=(z-z, 0,2) r(t)-(cost, 0, sin t) with 0 t π F = (-y,2, 2) with r(...
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83, 2) with 0 2 t 1l F=(z-z, 0,2) r(t)-(cost, 0, sin t) with 0 t π F = (-y,2, 2) with r(t) = (-2 cost, 2 sin t, 2t) 0 < t < 2π
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83,...
(3) Find the area bounded by the curve x(t) = 3t-t2, y(t) = 3.li and the...
(3) Find the area bounded by the curve x(t) = 3t-t2, y(t) = 3.li and the y-axis. 3 N 1 2
X and Y are n x n matrices and det X^T = 3 and B^-1 =...
X and Y are n x n matrices and det X^T = 3 and B^-1 = 2 T F det(X^2 Y^2 (X^-1)^T) = 12 T F detX/(detY^T) = 6 T F det(X^3 Y) = 27/2 T F det(X^-1 Y^2 X ^T) = -4 T F det(X^-1 B^T) = 6 T F det(XY) = 3/2
please explain in detail i am confused ( a & b) 2.27 Determine y[n] = x[n]*h[n]...
please explain in detail i am confused ( a & b)
2.27 Determine y[n] = x[n]*h[n] for the following pairs of signals: (a) x[n]=u[n], h[n] = 4" u[n] (b) x[n] = h[n] = 2"u[n] (C) x[n] =(0.3)"u[n], h[n] = 2"u[n]
find laplace transform f(t) = {0, 0 st < 2 t2-1 t2 2 f(t) = {0, 0 st
find laplace transform
f(t) = {0, 0 st < 2 t2-1 t2 2
f(t) = {0, 0 st
(1 point) Consider the function f(x) = Es cos(t) – 1 t2 dt. Which of the following is the Taylor Series for f(x) centred at x = 0? 2n-1 Α.Σ (-1)" (2n – 1)(2n)! X +C. n=0 oo 2n-1 B. (-1)" (2n – 1)(2n)!" X n=1 (-1)" X20-2 (2n + 1)! M n=1 D. iM: (-1)"(2n – 2), 2n–3 (2n)! X n=1
T has cumulative distribution function F(t) = 1-(2/t)?, t> 2 otherwise Let Y = T2 and let g(y) be the pdf of Y. Find g(y) for y> 4. A. 8/43 B.8/43/2 c. 4/y? D. 16/y E. 1024/y: Reset Selection
(1 point) Consider the function f(x) = f* cos(t) – 1 dt. t2 Which of the following is the Taylor Series for f(x) centred at x = 0? w A. (-1)" (2n – 1)(2n)! -x2n- +C. n=0 (-1)"(2n – 2) 2n–3. B. (2n)! n=1 c. Σ (-1)" (2n + 1)! -x2n-2 n=1 D. Š (-1)" -X2n-1 (2n – 1)(2n)! n=1
Q9 (Approximation of π) (a)
Show that 1/1 + t2 = 1 − t2 + t4 −
... + (−1)n−1 t 2n−2 + (−1)n
t2n /1 + t2 for all t ∈ R and n ∈ N.
(b) Integrate both side in (a), show that tan−1 (x) =
x − x3/3 +
x5 /5 − ... + (−1)n−1x 2n−1/ 2n −
1 + Z x 0 (−1)n t2n /1 +
t2 dt.
(c) Show that tan−1 (x) − ( x...
Solve f, g, l, m
x{n - 1] = 1.30. Determine if each of the following systems is invertible. If it is, construct the inverse system. If it is not, find two input signals to the system that have the same output. (a) y(t) = x(t - 4) (b) y(t) = cos(x(t)] (c) y[n] = nx[n] (d) y(t) = x(t)dt ( x[n - 1], n>1 (e) y[n] = {0, n = 0 (f) y[n] = x[n]x[n – 1] ( x[n],...
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83, 2) with 0 2 t 1l F=(z-z, 0,2) r(t)-(cost, 0, sin t) with 0 t π F = (-y,2, 2) with r(t) = (-2 cost, 2 sin t, 2t) 0 < t < 2π
(3) For the following velocity fields F on R3, find the flow along the given curve. r(t) = (t, t2, 1) F=(-4xy, 83,...
(3) Find the area bounded by the curve x(t) = 3t-t2, y(t) = 3.li and the y-axis. 3 N 1 2
please explain in detail i am confused ( a & b)
2.27 Determine y[n] = x[n]*h[n] for the following pairs of signals: (a) x[n]=u[n], h[n] = 4" u[n] (b) x[n] = h[n] = 2"u[n] (C) x[n] =(0.3)"u[n], h[n] = 2"u[n]
find laplace transform
f(t) = {0, 0 st < 2 t2-1 t2 2
f(t) = {0, 0 st
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