## Answers

Solution : Given that U = x3+yz , X = browse , y = brsîne , Z = +r = 4(37,2) =x+yz , x(br,e) = þrcose, y (er; e) = þrsing and z (B730=6+r, X u = x3 +32 → au 2X 3x0² +0 of xo 个 au 2x – 3X2 (4. Theorem: Let u(67,z) be a frenetion X, Y, Z and xCBre), y(bre), 7(b5e) Then by chain Ruleg weget au ag au ap ax ap ay ap az and u = x3+yz » au = 0 + Z au au axt he (1) → au Z Z e 2u24+ -(5) ne ele au ax ax ar + all az ƏZ ar (cli ay u=x² x3 + YZ and (2) → au az 0+y ne 24 24+24 24+24 az 2x 20 20 az ao oe → ne ze =y L(3) 6) Since x = prcose Then ㅋ ax rocoso хе ele prose JX -- br sine de (8) 9

Sinee, y = prsine Then ay=psine 24 = $ sino/; ia he esmed ab 20 2p (10) (12) Sinee Z=b+p Then 2Z 1 a Z 1 = a Z 30 ao (13) (14) (5) Therefore from (16), we get au au at + az ap ne From (1), we get au ax au az ax ap 38 to From (4,5,6), we get au 3226 au =Z] de = 3x2 ro caso + Z rosino + ty ab ne = haze хе Re From (7),(0),13), we get 24 = 3(prcose) ne ErcosA + (p+r).rsine + prsine Since x = prcose, y = prsing and Z = p+r 2x = rose, ay el= singh de az ap=1 au - Bu 3 ?-?oset Frsin 6+2Sim Then + prsine (3x2)rcose) +(z)rSine) +($) (1) Now cohen þ=2, r=1, 0 = 0 de he au TT = 3 x?rcos +z rsino ty de (16) 3(2)?(1)?(05(0) 3+ (2) (1) sin() +(2)? Sin (0) +2).(0) Sino) → au ap = 3.4.1 + 2.1.0 +4.0 + 2.1.0 since COS(O) = 1 and Sin (O) = 0

de rette = 4.3 +0+0+0 → ne = 12 ap (Answer) From (17), weget 9 24. = 3x2bcose + z bsino + y From (2 we get 24 22 agar au zu ta n elle au az az an ele au ar = 3 3(prcose) pcose + (p+r) þsine + prsing Since x=br cose, y = bosine, z =b+r From (4,5), (6), we get lau = 3x25|24 = zl,342 - y ax when yo = 1; Ⓡ = 2, 0 = 0 , From (8), (11),(4), we get C ne ele 31 2:1. cosa = 10503(2)0056) 3(2.

Xe de posel, 2 * = psine and ә +(2+1).2-Sing(0) + 2.1 Sin (0) ze T = ele dhe me 3 (2.1)?2. -2.1 + (3).2.0 +2.1.0 Since cos (O) = 1 and Sinco) = 0 au ap Therefore y = (@x2)pose) +(z) Chine) +8)(1) 3x2 pcose + z p sine +y -(17) du → = ele → 2u = 3:23 +0+ 0 ele = 3.8 จริง he ele he ele 24 (Answer)

From (18), we get Ze ne au 20 au an ax 20 + - + Өe De ze = ne ax au 20 From (3), we get au au ay --3px?nsin 0 + z prcoso ay From (1), (5), (6), we get au 3x3 = Z1; 24- y =-3Cþrcose)ksine + (p+r) þrcos From (9), (12), (5), weget 3X -- brsinel24 - brose 22 - 0 = -3 3p3 cos?e sin o + b2r cose +brzcoset 24 = 3x2(-þrsine) + z (brcose) + y(0) a = -353p3 cos?8 Sine + b2po2cose+br_cose 24 - 3px? Sine + Z prcos 8 +0 brcoso de 3 bel ne Өe Then 介 E ao when p = 1, b=2, 0 = 0 → ne Өe – 3ppxz sine + Zprcose (18) he Өe. --3(2)(1) 3605? (0) Sin (0) + 2212 cos(0) +2:12 Cos (0) he Өe = -3.8.10 + 4.1.1 +2.1.1 since cos(O)=1 and sin(o)=0 he = 0 + 4 +2 au 20 = 6 lo Answer

.
#### Similar Solved Questions

1 answer

##### C++ and Data Structures (EE 3223) 9. (5 points) Briefly explain the purpose of the following:...

C++ and Data Structures (EE 3223) 9. (5 points) Briefly explain the purpose of the following: (a) A const class function (b) A const input object to a class function (c) A static class member variable (d) A static class function (e) A destructor...

1 answer

##### MQuestion 16 0 12.5 pts U.S. UK Wheat 126 12 Cloth 6 18 The table above...

mQuestion 16 0 12.5 pts U.S. UK Wheat 126 12 Cloth 6 18 The table above shows United States and United Kingdom production of wheat (bushels per hour) and cloth (yards per hour). According to the classical theory of trade, which of the following is true? The United States will gain more from trade th...

1 answer

##### - The sample information ort Sample 1 Sample 2 less than the proport ny = 120...

- The sample information ort Sample 1 Sample 2 less than the proport ny = 120 X1 = 40 n2 = 124 X2 = 55 15 of 20 (3 Given the null and alternative hypotheses below, a level of significance a=0.1, together with the accompanying sample information hypothesis? Ho: P1 P2 HAPA <P2 Click on the icon to ...

1 answer

##### Question 1 Not yet answered Marked out of 2 Flag question Let A and B two...

Question 1 Not yet answered Marked out of 2 Flag question Let A and B two independent events and P(A) = 0.6 and P(AnB) = 0.3. Find P(BC), (Probability of B complement) O a. 0.9 O b. 0.5 O c.0.2 O d. 0.8...

1 answer

##### Let f(t) be a function on [0, 0). The Laplace transform of fis the function F...

Let f(t) be a function on [0, 0). The Laplace transform of fis the function F defined by the integral F(s) = estf(t)dt. Use this definition to determine the Laplace transform of the following function. 3 0<t<2 5. 2<t *** The Laplace transform of ft) is F(s) = { for all positive s+ and F(5)=...

1 answer

##### Return to question Lubricants, Inc., produces a special kind of grease that is widely used by...

Return to question Lubricants, Inc., produces a special kind of grease that is widely used by race car drivers. The grease is produced in two processing departments-Refining and Blending. Raw materials are introduced at various points in the Refining Department The following incomplete Work in Proce...

1 answer

##### By Andres Lopez - Friday, 2 August 2019, 8:55 PM Explain the relation between Positive mental attitude...

by Andres Lopez - Friday, 2 August 2019, 8:55 PM Explain the relation between Positive mental attitude and good health...

3 answers

##### The product of two numbers is 108, and the quotient is 12

The product of two numbers is 108, and the quotient is 12. What are the two numbers....

1 answer

##### When 109.27 g of pure copper reacts with 488.28g of iodine, 546.35g of a compound containing...

When 109.27 g of pure copper reacts with 488.28g of iodine, 546.35g of a compound containing only copper and iodine result. 51.20g of iodine remain when the reaction is complete. a. Do these results support the Law of Conservation of Mass? Explain b. Another student heat 5.10g of copper with 7.00g o...

1 answer

##### Question 5, 6 and 7 Given information for questions 5 to 7: Thula and Sizwe are...

Question 5, 6 and 7 Given information for questions 5 to 7: Thula and Sizwe are in the business of renovating dilapidated buildings around Hillbrow. They are trading in a partnership named Thulasizwe Renovations with a profit sharing ratio of 3:2 respectively. They decided to admit Sethu from 1 July...

1 answer

##### 1. What is a continuity plan, and why is it important? 2. What occurs in your...

1. What is a continuity plan, and why is it important? 2. What occurs in your current place of employment in a disaster? Has your facility discussed the plan for continuity of care and data? 3. If you were in charge, how would you implement a continuity plan? Include lessons from the Joplin Tornado ...

1 answer

##### The contribution margin format income statement is not widely used for external financial reporting, but is...

The contribution margin format income statement is not widely used for external financial reporting, but is allowed by GAAP. true or false...

1 answer

##### 2. The most important stakeholder who has an interest or involvement in the behavioral healthcare system,...

2. The most important stakeholder who has an interest or involvement in the behavioral healthcare system, structure, process, task and/or activity is ________________. The client Policy makers Accreditors Payers 3. The _________ process encompasses initial and ongoing assessment tasks and activities...

1 answer

##### Homework: 6C Homework 8 of 15 (6 complete) HW Score: lus Score: 0 of 1 pt...

Homework: 6C Homework 8 of 15 (6 complete) HW Score: lus Score: 0 of 1 pt 6.C.21 Use the normal destribution of 10 scores, which has a mean of 130 and a standard deviation of 15, and the following table with the standard scores and protesto to find the indicated quantity E Click the icon to view the...

1 answer

##### 1. The note payable was issued on June 1 to purchase the equipment.The note is due...

1. The note payable was issued on June 1 to purchase the equipment.The note is due in two years, on june 1, 2023, and carries interest at the rate of 6%.The principal is due at maturity and the interest is payable at the beginning of each month The trial balance before adjustment of Heis Deli...

1 answer

##### / o / / If angle C measures 71° and BC has length 5, find: •...

/ o / / If angle C measures 71° and BC has length 5, find: • Angle B (in degrees): • The length of AB • The length of AC:...

1 answer

##### . You pull a simple pendulum of length 0.240m to the side through an angle of...

. You pull a simple pendulum of length 0.240m to the side through an angle of 3.50 and release it. a) How much time does it take the pendulum bob to reach its highest speed? b) How much time does it take if the pendulum bob is released at an angle of 1.75 (instead of 3.50")? 7. An unhappy 0.300k...

1 answer

##### Based on IR, mass spec and HnmR answer the following questions. plz provide detailed explanatio A)...

Based on IR, mass spec and HnmR answer the following questions. plz provide detailed explanatio A) what is the exact structure and what is IUPAC name B) what are main IR signals C) wha are main HNMR signals D) labell major mass spect peaks and show the structure of fragmanted ions E) why the compoun...