-1 €С аnd z -1 -1 * If zeC /{0} then there exists z (х, у) # 0 such that z = 1. Let Z -1 Show that z (- 2 x +y 2 2) ху How did we get the real and imaginary parts?

Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2Z3 О а. -5- ј85 О Б. 5+]85 О…

A: We have to multiply the given three complex numbers.

Q: for the quartic function represented by this graph?

A: In the given question, the concept of quartic function is applied. Quartic Function A quartic…

Q: Calculate 7 af Әх af af af af 7 Әх ду Әх af ах af ду (1, -1) (1, -1) f(x, y) = x4y3 - х = = = , and…

A:

Q: The Doman off(x) = V4 – Vx is

A: Note: The correct option is not in the option.

Q: 5. Let z1 = a1 + b;i and z2 = az + bzi. (a) Find Im[z,Zz + (Z)? – 2,7 ]. (b) Prove that (z)² = z,² .

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

Q: day dx5 + day dx4 - 6 d³ y = 0 dx³

A:

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: Verify the orthogonality condition of each of the equations y" - 2xy' - 2ny = 0 11 ( where n is a…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: -If u = x2 tan-1 २|४ y = - y² tan-1 x 22u дхду x² что - у² + J²u u ә2u u дхду дудх L ala 2

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Q: 2 [11]₁v=₁-1²] W u Compute: u.v= u. W = w u · (v + w) = u.v+u. W =

A:

Q: 6. Show that when ) < |z - 1| < 2, e - ( - 3) (2 - 1)(2 – 3) Complex Analysis n=0 (z-1)" 2+2 2(z-1)

A: We use Laurent series to prove given example.

Q: Graph the following function: y = -2 sin (2x - 3) - 2 Drag the black dot to shift your graph in the…

A:

Q: P(x1, #2) –X2, Q(x1, x2) = x1; D = {(x1,x2) :0 < x1 < 1,0 < x2 < 1}. = -

A: Note : " As per our guidelines we will solve only first question . If you want any specific question…

Q: Suppose z=2– 3i, What is a complex function f (z) = – 37 – 2i Re (z) ? —6+ 13і -6- 13i об+13і 6–13i…

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Q: -3 • Determinant of N = 1 -2. 1. -5 7 3. 5 4. -7 2.

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

Q: 1. (r - x) + (-2r + 3x) 2. (-y + 3) - (v - 2) 3. (-3a* + 4 + 2a') -(2 + Sa - a) 4. -(6 - b + 4b')…

A:

Q: 6. Show that when 0 < |-1|< 2, (z-1)(z-3) Complex Analysis (z-1)" 2+2 =-36 z−3) ² A=0 2(z-1)

A: We use substitution and Laurent series expansion.

Q: P(x1, x2) = x1X2, Q(x1,x2) = –2x102; D = {(x1,x2) :1 < x1 < 2,0 < x2 < 3}. %3D

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

Q: 1- DETERMINE A AND BEC FOR THAT THE FUNCTION: (f:C+a=+b -2 +az +b f(=) = IF = #1-i, 2-1+i (f(1– i)…

A: Continuity of complex function:

Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = ,…

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Q: Use the function, 4x + 8x – 60 =f (x) %3D - to match each key feature listed below. What is the…

A:

Q: Use the general chain rule to find DH (1,-1) given G(U)=G(u, v) = and H(U)= F(G(U)). /u²+3v² +2 F(X)…

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Q: 3. P'(-5.-3) is the image of P after a transla along the rule (x,y) → (x+2, y-1). What the…

A: P'=(-5,-3)translation rule is (x,y)→(x+2,y-1)let point P is (x,y)

Q: What are the coordinates of W()? (0, 1) 12 (-1, 0). 0, 2x (1, 0) (-, - 19 12 17 12 (0, -1) 02018…

A: Given: The figure as

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

A:

Q: What is the image of (-2,-2) under the reflection in the line x+y-1=0. (3,3) O (-1,-1) O (1,1) O…

A: What is the image of (-2,-2) under the reflection in the line x+y+1=0