Determine the absolute value of each of the following complex numbers:a. z = 5 + 12i   b. 2 - 3i.

Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the…

A: The given problem is to evaluate and simplify the given complex expression and express the final…

Q: find each of the products and express the answers in the standard form of a complex number. (8 - 4i…

A: Given :  8 - 4i 7 - 2i

Q: Graph each complex number along with its opposite and conjugate.       2-i

A: A complex number is written in the form, z=a+bi where, a is the real part and b is the imaginary…

Q: I. Write each complex number in polar form. 1. 4√3 + 4i

A:

Q: Multiply each complex number by its complex conjugate. a. 3 + 6i   b. 2 − 5i

A: A complex number is a number of the form a+bi with a,b being real numbers. In this form we have a is…

Q: find each of the products and express the answers in the standard form of a complex number. (-2 - 4i…

A: Given:To find (-2-4i)=?Formula:(a+b)2=aa+b2+2abi2=-1

Q: V-75 + V25 х -36 с.

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given expression is 4i5+2i. To express the answer in the standard form of a complex number.…

Q: find each of the products and express the answers in the standard form of a complex number. (3i ) (2…

A: We have   3i(2 - 5i)To find the value of this , we simplify this as follows (3i)(2- 5i)  = (3i)(2) -…

Q: Divide the following complex numbers and express the result in standard​ form, a+bi​, where a and b…

A: We have to divide the following complex numbers and express the result in standard​ form.

Q: Find two square roots of each of the following complex number.   3 - 4i

A: Given complex number: 3-4i The square root of a complex number is as 3-4i Now, consider 3-4i=x+iy

Q: find each of the products and express the answers in the standard form of a complex number. (4 + 3i…

A: We have to find the product of the complex numbers to write in standard form: 4+3i 6+i We know that…

Q: Divide the following complex numbers. -8 - 6i 3+ i

A: To divide: The complex numbers -8-6i3+i. Formula used: a+bc+d=ac+ad+bc+bd a2-b2=a+ba-b

Q: find each of the products and express the answers in the standard form of a complex number. (7i )…

A: 7i-9+3i

Q: Simplify the expression to a single complex number: (2 + 3i)(4i)

A:

Q: Express each product, quotient, or power in both trigonometric and complex form. (-2 + 2i√3)4

A: Express each product, quotient, or power in both trigonometric and complex form.

Q: Determine the absolute value of each of the following complex numbers: a. z = 3 + 4i   b. z = -1 -…

A: To find the absolute value of the given complex numbers. a. Given complex number is z=3+4i Absolute…

Q: perform the indicated operations and express the answers in the standard form of a complex number.…

A: Given: -4+i+2+3i

Q: Find the trigonometric form of each complex number of 32i and then find the fifth roots.

A: we have given that z=32iwe know that z=x+iy=32ilet x=rcosθ, y=rsinθwhere…

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: -5i2-4i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Our Aim isto simplify the expression given below:-6i-23i-(i)

Q: perform the indicated operations and express the answer in the standard form of a complex number.…

A: To perform the indicated operations and express the answer in the standard form of a complex number.…

Q: Write each of the complex numbers in the form a + iß, where a and B are real numbers. (a) 2ei/3 (b)…

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: The given expression is -2+7i-1+i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: given complex number-4-7i6i,let z=-4-7i and w=6iz/w=-1.1667+0.667i

Q: find each of the products and express the answers in the standard form of a complex number. (6 - 2i…

A: We find the standard form of the product as,

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A:

Q: Graph each complex number along with its opposite and conjugate.           -3i

A: The given complex number is -3i. Its opposite and conjugate complex number is 3i. Now graph these…

Q: Graph each of the following complex numbers, and express each in trigonometric form.   1+√3 i

A: Consider the given complex number z then z=1+3i

Q: find each of the products and express the answers in the standard form of a complex number. (-3 - 6i…

A: To find the product of -3-6i2 and expression the answers in the standard form of a complex number.…

Q: Which of the following complex number is represented in the Argand diagram shown? -1 -1 1 2 --1- --2…

A: If we have a complex number a+ib Here a is the real part of the complex number and b is the…

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: To express the complex number in standard form.(5+i)(2+9i) Solution: (5+i)(2+9i) On simplifying…

Q: find each of the products and express the answers in the standard form of a complex number. (5 - 3i…

A: The value of the given expression can be found by the square formula of difference. Apply the…

Q: find each of the products and express the answers in the standard form of a complex number. (9 + 6i…

A: (9 + 6i ) (-1 - i )=9(-1-i)+6i(-1-i)                           =-9-9i-6i-6i2           distribute…

Q: Find the following quotient and express the answer in standard form of a complex number. 3−5i/4−3i

A: The given expression is,

Q: (2+4i) b. (5-7i)

A: Topic- complex number

Q: find each of the products and express the answers in the standard form of a complex number. (-6i…

A: find each of the products and express the answers in the standard form of a complex number. (-6i…

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: We have to express the given complex number in standard form: 310i We know that i=-1⇒i2=-1 Where, i…

Q: Simply the each of the following complex numbers (4i – 3)(3 + 4i) a. -

A:

Q: Find two square roots of each of the following complex numbers.   3 - 4i

A: 3-4i=(3+1)-4i-1=4-4i-1=4-4i+i2=22-2·2i+i2=2-i2

Q: Graph each of the following complex numbers, and express each in trigonometric form. -5i

A: The complex number is given -5i

Q: find each of the products and express the answers in the standard form of a complex number. (-5 - 3i…

A: To find the product: (-5-3i)(2-4i) Solution: (-5-3i)(2-4i) On simplifying further we get:…

Q: Divide the following complex numbers. -23 + 11i 5 +i Vatch

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given : −3+8i−2+i

Q: find each of the following quotients, and express the answers in the standard form of a complex…

A: Given 3i2+4i

Q: find each of the products and express the answers in the standard form of a complex number. (-1 + 2i…

A: The standard form of a complex number is a+bi where a,b  are real numbers. The following…

Q: Match the correct modulus or absolute value to the complex number: - 6 + 8i

A: Explanation and solutions is given below....

Q: Divide the following complex numbers and express the result in standard form, a +bi, where a and b…

A: