y), the harmonic conjugate of u. Form the

Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Plot the point corresponding to, z =2(cos30ο +isin30ο ) in the complex plane, and write an…

A: z = 2(cos 30° + i sin 30°)

Q: 9- (-2 J3 + ja) * Rec tangular Form

A: Any complex number, z can be written in its rectangular form as z=x+jy  . This complex number can be…

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A: Find the condition for the given points to be collinear.

Q: 2. ) If a = 3i, b = i+j, c= i – 2j then: a) Find a + b + c in in i, j form. b) Find b + 2c in i, j…

A:

Q: -Usc polar coordinate to evaluate a2-x2 dxdy a2-x2 axdy

A:

Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: *#4.) In the diagram, mzJKM = 180° and KN bisects ZMKL. If MZMKN = (x2 +x)° and M2NKL = (3x+35)…

A: But from the given figure we can see that the angle MKL is an obtuse angle . Hence measure of angle…

Q: Write i -1 - i in x + iy form.

A: Here we use that i=exp (πi/2).

Q: Prove that the point 2a +b-c, 5a -b+ 2c and 8a – 3b+5c are collinear.

A: Given, 3 vectors or points, A(2,1,-1) B(5,-1,2) C(8,-3,5)

Q: The conjugate of -4 -3i is............

A:

Q: Let z2T3-L p=S+Si O fird all the complex mumbers %3D guien by hza

A:

Q: Specify in coordinates the projection made from point (1, 1) on the abscissa axis to the ordinate…

A:

Q: 2 (cos 150° + i sin 150°

A: The given complex number is in Polar form, so we covert it into Cartesian form by using the…

Q: Express (-2/3+ j2) in rectangular form.

A: Rectangular form of the given complex number

Q: Find the rectangular form of 7T 3√/2e² i.e. the a + bi form. Do not include any spaces.

A:

Q: Find the SUM of all the complex zeros of f(x)= x3 + 3x2 + 7x + 10 a.) -1  b.) -2  c.) -3  d.) 0  e.)…

A: It is given that

Q: 1 da (교2 + 1)2

A:

Q: se: Two different con

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Q: Write the following quotient in the polar form 1+i √3-i

A: rationalization of the given quotient

Q: Q13: Find the polar form for the following: a) 5+ j7, b) 7 + j 3, c) 9+j6

A: Let a number be given by a + ib.The equivalent polar form is reiθ where r =  and Search This…

Q: Find the derivatives of the following 1. [sin-(2z – 1)]² 2. cos-1(sin z – cos z)

A: Differentiating complex functions is similar to differentiating the functions with respect to x, but…

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A:

Q: 5. Find all the roots in both polar and Cartesian form for each expression. (a) (-2+2i) *. (b) (-1)…

A:

Q: Find the harmonic conjugate of the following. 10. х-у2+у

A:

Q: * ?Find the cross product A XB when A = 2i + 3j and B = -3i + 2j

A: The cross product of two vectors A→ and B→ in 2 coordinates is given by A→×B→=AxAyBxBy k^Where…