37-46 - Quotients Evaluate the quotient, and write the result in the form a + bi. 37. i 38. 1 +i 5 - i 40. 3 + 4i 2 - 3i •39. 1- 2i 10i 41. 1 - 2i 42. (2 — 3і) 1 4 + 6i 43. -3 + 5i 44. 3i 15i 1 45. 1 + i (1 + 2i)(3 – i) 46. 2 +i

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Q: 1. Prove Euler's formula: Let z e C (the set of all Complex numbers). Then: eiz = cos z +i sin z

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Q: 37-46 Quotients Evaluate the quotient, and write the result in the form a + bi. 1 38. 1 + i 37. 5 -…

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Q: Compute the determinant of the matrix

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Q: 3. Find the general value of z in the complex number: (Note k = any integers) etz = 4v2 + j4v2 O A.…

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Q: 1 Quotients Evaluate the quotient, and write the result in the form a + bi. 4 + 6i -3 + 5i 44. 43.…

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A: 37. Evaluate the quotient and write the result.

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Q: e the complex number 8e" in a + bi form X error - invalid form

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Q: Quèstion 2 Write z -5- iz + 3i in a + bi form (x +y- 5)+i(3 –x +y) (x+y- 5) + i(3 – x - y)…

A: z = x + i y

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Q: Express the result in trigonometry and rectangular form Complex Number Arithmetic Let -1 + V3i V3 +…

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A: 27- Given- 4-1+2i To find- The above product and write the result in the form of a+bi.

Q: ) Write the quotient in standard form a + bi and c + di 2) Write the quotient in standard form2 + 3i…

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Q: 10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi- tive…

A: i=0 ,1y=y ,0 verify :   -iy = -iy  To find additive inverse of z=x+iy

Q: 1. If z = x + iy is a complex number with x, y E R, we define |z| = (x² + y?)1/2 and call this…

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Q: 6-4i/-5+9i Evaluate and write the result in the form a+bi

A: Evaluate and write the result in a+ib form

Q: Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0]…

A: Given that z1=[3,0.7],z2=[2,01.2] and z3=[4,-0.5] To find :  (c) (i)Find a complex number z=[r,θ]…

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Q: 74. Two complex numbers a + ib and c + id are equal if and only if a = c and b = d. Use this fact to…

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Q: Quèstion 6 Write z - 5- iz + 3i in a + bi form (x+y-5) + i(3-x +y) (x+y + 5)+ i(3 - x- y) (r- y- 5)+…

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Q: 37-46 Quotients in the form a + bi. 37.! 1 38. 1 + i

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Q: 27–36 ■ Products Evaluate the product, and write the result inthe form a  bi.

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