10. Use i = (0, 1) and y = (y, 0) to verify that -(iy) = (-i)y. Thus show that the addi- tive inverse of a complex number z = x+iy can be written -z = -x-iy without ambiguity.

Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: Show that the equation cosx + x²³²-3 has a real root

A: Given: Equation: cos x+x3-3=e-xTo show: Given equation has a real root.

Q: Do complex numbers have inverses under the complex additionoperation (‘additive inverses’)? Explain.

A: z = a+ib is a complex number Then additive inverse of z is = -a-ib

Q: Multiply the complex numbers 15+j4 and 12+j4

A:

Q: Suppose the product z1z2 of two complex numbers is a nonzero real constant. Sho 2 kz1, where k is a…

A:

Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: 1. Simplify the following list of complex expressions to the form a + ib where a, b are real…

A: we need to simplify the given complex expression to the form a+ib we know i=-1,  i2 = -1,  i3=-i, i4…

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: i would apprativce it if you could exlpain

A: Given complex numbers are z=2+3iw=5−i So,  (a)  2z+w=2(2+3i)+(5−i)2z+w=(4+6i)+(5−i) Now, combining…

Q: Write the standard form of the complex number 4(cos(4π÷3)+isin(4π÷3)    Find the product:…

A:

Q: [-3i-2]]-[-2i-5j]= • 2 + ງ

A: Given-3i→-2j→--2i→-5j→