Find the work done by force F= 4√/2i-3xj +4√/yk, from (0,0,0) to (1.1.1) over each of the following paths. C₁ = ti+tj + tk, C₂ = ti+t²j+t¹k, and C3UC4 The work done over the straight-line path C₁ is (Type an integer or a simplified fraction.) The work done over the curved path C₂ is (Type an integer or a simplified fraction.) The work done over the path C₂UC4 is (Type an integer or a simplified fraction.) (0, 0, 0) C₁

Q: Find the following expressions if a = 3i - 5k, b = i+j3k, and c = 4i + 5j + 3k. 1. a.b: 2. a. c = 3.…

A:

Q: Find the quotient (1+i) 10 1+/3i A. 10(1+ 3i): B. 16+5i C. 8(/3+i)· D. 6(/3+2i)- E. -8(/3-i). Е.

A:

Q: Q.2. If 7, 1, and r, be the roots of 2x +5x-330, then find: (a) E (b) Er

A: For given cubic equation first, we will find the roots of equation. so we will get real and complex…

Q: A = ëx + 3ểy – 2ẻ, B = 4ẽx – ểy Ĉ = -3ẽz – 5ẻ, Ả x =?

A: vector product

Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi

A:

Q: If z = 1+ 2i and w = 3+ 4i, express the following in the rectangular form: (a) 2|w| +(1 – i)2² w + z…

A:

Q: Q4) Answer two only 5-3i, a) Evaluate i 2+4i b) solve the following to find c and d (3-2 i)(c+id) =…

A:

Q: (A) Given A = 3i + 5j , B = -4i + j Find the à +B , à – B & Ā. B

A:

Q: 3. Perform the following operations and find the degree of the result a. (2r- 4x² +7)+(3.x² – 12x-7)…

A: According to guidelines, first three subparts are to be solved. Please repost the remaining.…

Q: 1 Find I = dx. x2-2x+8 Choose the factorization of the denominator from the following: Question 1)…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find x and y given that (x+yi)/2+i = (1-i)/2+3i

A:

Q: (x + 5)(x - 2)dz Find + C

A:

Q: 1 0 -4 Q3. Let A = 0 3 -2 7 6 a) Compute the followings. i. det (-4) det (2.4") ii. det (34)") ii.…

A:

Q: [2 find A-1 if A = |1 -2 [4 0. 0. A= B= 1 D= -1 -1575215

A: We have find the inverse of given matrix

Q: Find 2π 3 [V² [V 0 0 5 п 6 xy sin (x² + y²) dx dy

A:

Q: Find (5z" 2æ®)dæ 5x° + + C

A:

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

A:

Q: Evaluate by Residue Theorem dx Soo JE(142 +22) Jä(1+x+z2)

A:

Q: Find all values of the following roots. a) (31)¹/2 b) (-i)¹/4 c) (-1)¹/4

A: According to guidelines we can solve only first three subparts, please repost remaining subparts.

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: Question 12 > Let a = - 6ỉ – 73 and b = – 47 – 33. Find ä · |

A: In this,we find dot product of given vectors a& b.

Q: Find the real numbers x and y if (x – iy) (3 + 5i) is the conjugate of –6 – 24i.

A:

Q: -6 14 (-7 15 , 18. Solve for X, if X³ = (). 0 2 Ans. X = -1 3

A: We are given that for a matrix X, such that X3=-614-715. We need to find the value of X. Let X =…

Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

A:

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

A:

Q: de 4TV3 Show that (2+cos8) 9

A:

Q: dx Compute√2+16 dr

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: C. Show that (1+i)*5 = 2*" (1 – i)

A: Polar form of complex numbers will be used in solving this problem. The typesetted solution in LaTeX…

Q: (y³ + kæyª – 2x) dæ + (3xy² + 20x²y³) dy O 20 O 10 O 5

A:

Q: Calculate the value of (1 + 2i)- and then use this value to find the roots of z - z + (1 - i) = 0.…

A: Expand to obtain the square of the given term and use quadratic formula to obtain the roots.

Q: Find the quotient (1+i) 10 1+/3i )A. 10(1+/3i)- O B.6(V5+21). OCs(V3+i): OD. 16+ Si OE -s(V3-i). D.…

A:

Q: 1 Evaluate Iz|= 12.0 |z| = 12.0 dz (z – 10.0)³(z² + 169)2

A: Introduction: When we study complex integration, Cauchy's integral theorem and Cauchy's integral…

Q: Each student should evaluate each residue, then comment on other students' answers either by agree…

A: