Homework Answers
![* Zw= (2487 - 9,82]+ i (asy + xya) * ZW = (2,22-Y,02) -; (224, +242) Again zaatiy * z = 24-iy, W = xotiy W = r2-ig, o So Zw =](http://img.homeworklib.com/questions/86c25c30-cbe3-11eb-8c58-01dd4f438d7e.png?x-oss-process=image/resize,w_560)
![I take г. Мама - z=24tiy, Eq, ay, EIR - W = xgtigel a2, YzER wzo = myring . (Where wto] dariya :(4+141) (22 -142) (22+1Y2) (](http://img.homeworklib.com/questions/88ab1ca0-cbe3-11eb-98af-cbe0b9232cfb.png?x-oss-process=image/resize,w_560)
6 Show the following set identities, giren sets A, B, C, D.. ...a) ¢-C¢-A) = ADC...
6 Show the following set identities, giren sets A, B, C, D.. ...a) ¢-C¢-A) = ADC 6). (A-BUA=A ...) An (B-6) = (ANB)-(ANG) d) (A-B). (B-A) = 0 e) (A-G) N (B-G) = CANB)- & .f) (B-A) (ANB) = 0 9) CAUB)-B = A-CARB) = A-B h) A-(B-C) = (A-B) U CANG) ..) (A-B)-C = A - (BUC). ..;) (A-B) CC-D) = (ANG)-(BUD).
z [5] Find zw, and wî given w = -2 - iv2 and z = -...
z [5] Find zw, and wî given w = -2 - iv2 and z = - 8i . Leave answers in W r cis @ form. Sketches have been provided on the scratchwork page. ZW= Z II W 11 52 5w - -RN2 -8 2
1) Convert the following C code into MIPS assembly For (b-0; b<N, ++b) C-Z[b] If (Z[b]>W)...
1) Convert the following C code into MIPS assembly For (b-0; b<N, ++b) C-Z[b] If (Z[b]>W) W-Z[b] note: assign array Z, integers C and integer W to registers $SO, $S1, $S2 respectively. Put comments for each assembly line to explain its purpose.
37z-2 (a) Show using the definition of the Z-Transform that Z({3+4Uk-3} ) 2. Z 3 (b)...
37z-2 (a) Show using the definition of the Z-Transform that Z({3+4Uk-3} ) 2. Z 3 (b) Using operational theorems and the table of Fourier-Transforms, determine the following: i. F(6e-5te-4lt); ii. F124juw sin (11w) -7 iii. F-1 4w2- 12w + 12 (c) The Fibonacci sequence {fk), is generated via the following second order difference equation fk+2 Z-Transform technique, show that for k 2 1 fk+1 f, for k 0, with fo = 0 and fi = 1. Using the k V5...
3. Design a combinational circuit with inputs a, b, c, d and outputs w, z, y, z, where the input ...
1- Please answer all the question
2- with clear handwriting
Thank you,
3. Design a combinational circuit with inputs a, b, c, d and outputs w, z, y, z, where the input and output both represent a signed numbers (2s complement). The output is 7 less than the input, if the input is positive, or zero. If the input is negative, the output is 3 greater than the input. 7. Use the Boolean functions developed in problem #3 to create...
ㆍ 3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show...
ㆍ
3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show the following identities hold: R2 2 OO = Re = 1 +2 C-z ΣΑ. R2 - 2rR cos (-0)r2 coS n(-e) n=1
(3) If z = a + ib E C and |2| := Va² + b², prove...
(3) If z = a + ib E C and |2| := Va² + b², prove that |zw| = |z||w]. Proof. Proof here. goes (4) Let y : C× → R* be defined by 9(z) = |z|. Use Problem (3) to prove that y is a homomorphism. Proof. Proof goes here.
Let's say (XL, Y)',.., (Xn,Yn)'(n > 2) is a random sample at Bivariate Normal Distribution ρσ102 41(ΑΓΑΝ! and r is sample correlation coefficient r- Also when Z and W, is as below, ans...
Let's say (XL, Y)',.., (Xn,Yn)'(n > 2) is a random sample at Bivariate Normal Distribution ρσ102 41(ΑΓΑΝ! and r is sample correlation coefficient r- Also when Z and W, is as below, answer following questions (Question 3) (1) Show independence between (Z1, ..,Zn)' and (W, W)' (2) When (,,..,Zn)' and (Wi.,W' is independent, show Sww- Zw ~x2(n - 2), and show it is Szz ,Zn) independent with (Z1 Szw is independent, showNO,.1), and show it is 3) When (Z Z)...
2. Find the image of a horizontal line under the mapping w e Problem 5. Evaluate the following in...
please solve these two questions completely with steps thank you!
2. Find the image of a horizontal line under the mapping w e Problem 5. Evaluate the following integrals, justifying your procedures. 1. e z, where C is the circle with radius, Centre 1,positively oriented. 2. Let CRbe the circle ll R(R> 1), described in the counterclockwise direction. Show that Log Problem 6. The function g(z) = Vre2 (r > 0,-r < θπ) is analytic in its domain of definition,...
23. Consider the function w(z) = 2-2 (a) Where in the complex z-plane are the poles of w(z)? (b) ...
23. Consider the function w(z) = 2-2 (a) Where in the complex z-plane are the poles of w(z)? (b) Determine the first three terms for the Taylor series expansion of w(z) about 0 (c) Identify the region of convergence for the Taylor series of part (b). (d) Determine the general expression for the n'h coefficient of the Taylor series expansion of part (b) 208 INTRODUCTION TO COMPLEX VARIABLES (e) There is a Laurent series expansion for wC) about-= 0 in...
6 Show the following set identities, giren sets A, B, C, D.. ...a) ¢-C¢-A) = ADC 6). (A-BUA=A ...) An (B-6) = (ANB)-(ANG) d) (A-B). (B-A) = 0 e) (A-G) N (B-G) = CANB)- & .f) (B-A) (ANB) = 0 9) CAUB)-B = A-CARB) = A-B h) A-(B-C) = (A-B) U CANG) ..) (A-B)-C = A - (BUC). ..;) (A-B) CC-D) = (ANG)-(BUD).
z [5] Find zw, and wî given w = -2 - iv2 and z = - 8i . Leave answers in W r cis @ form. Sketches have been provided on the scratchwork page. ZW= Z II W 11 52 5w - -RN2 -8 2
1) Convert the following C code into MIPS assembly For (b-0; b<N, ++b) C-Z[b] If (Z[b]>W) W-Z[b] note: assign array Z, integers C and integer W to registers $SO, $S1, $S2 respectively. Put comments for each assembly line to explain its purpose.
37z-2 (a) Show using the definition of the Z-Transform that Z({3+4Uk-3} ) 2. Z 3 (b) Using operational theorems and the table of Fourier-Transforms, determine the following: i. F(6e-5te-4lt); ii. F124juw sin (11w) -7 iii. F-1 4w2- 12w + 12 (c) The Fibonacci sequence {fk), is generated via the following second order difference equation fk+2 Z-Transform technique, show that for k 2 1 fk+1 f, for k 0, with fo = 0 and fi = 1. Using the k V5...
1- Please answer all the question
2- with clear handwriting
Thank you,
3. Design a combinational circuit with inputs a, b, c, d and outputs w, z, y, z, where the input and output both represent a signed numbers (2s complement). The output is 7 less than the input, if the input is positive, or zero. If the input is negative, the output is 3 greater than the input. 7. Use the Boolean functions developed in problem #3 to create...
ㆍ
3 (10) Let = Re', z = re (0<r< R) be two complex numbers. Show the following identities hold: R2 2 OO = Re = 1 +2 C-z ΣΑ. R2 - 2rR cos (-0)r2 coS n(-e) n=1
(3) If z = a + ib E C and |2| := Va² + b², prove that |zw| = |z||w]. Proof. Proof here. goes (4) Let y : C× → R* be defined by 9(z) = |z|. Use Problem (3) to prove that y is a homomorphism. Proof. Proof goes here.
Let's say (XL, Y)',.., (Xn,Yn)'(n > 2) is a random sample at Bivariate Normal Distribution ρσ102 41(ΑΓΑΝ! and r is sample correlation coefficient r- Also when Z and W, is as below, answer following questions (Question 3) (1) Show independence between (Z1, ..,Zn)' and (W, W)' (2) When (,,..,Zn)' and (Wi.,W' is independent, show Sww- Zw ~x2(n - 2), and show it is Szz ,Zn) independent with (Z1 Szw is independent, showNO,.1), and show it is 3) When (Z Z)...
please solve these two questions completely with steps thank you!
2. Find the image of a horizontal line under the mapping w e Problem 5. Evaluate the following integrals, justifying your procedures. 1. e z, where C is the circle with radius, Centre 1,positively oriented. 2. Let CRbe the circle ll R(R> 1), described in the counterclockwise direction. Show that Log Problem 6. The function g(z) = Vre2 (r > 0,-r < θπ) is analytic in its domain of definition,...
23. Consider the function w(z) = 2-2 (a) Where in the complex z-plane are the poles of w(z)? (b) Determine the first three terms for the Taylor series expansion of w(z) about 0 (c) Identify the region of convergence for the Taylor series of part (b). (d) Determine the general expression for the n'h coefficient of the Taylor series expansion of part (b) 208 INTRODUCTION TO COMPLEX VARIABLES (e) There is a Laurent series expansion for wC) about-= 0 in...
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