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Math
Complex numbers Topics

Complex numbers Questions

Determine the magnitude of the following complex number. Write the result in simplified radical form or in decimal form rounded to two decimal places.
1 + 3i

Math

Complex numbers Solutions

Determine the magnitude of the following complex number. Write the result in simplified radical form or in decimal form rounded to two decimal places. 1 + 3i

The complex number u = a + bi is_____________ of the complex number z if
z = u^n = (a + bi)^n.

Math

Complex numbers Solutions

The complex number u = a + bi is_____________ of the complex number z if z = u^n = (a + bi)^n.

Fill in the blank __________Theorem states that if z = r(cosθ + isinθ) is a complex number and n is a positive integer, then z^n = r^n (cos nθ + i sin nθ).

Math

Complex numbers Solutions

Fill in the blank __________Theorem states that if z = r(cosθ + isinθ) is a complex number and n is a positive integer, then z^n = r^n (cos nθ + i sin nθ).

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.
(cosπ/3+i*sinπ/3)^9

Math

Complex numbers Solutions

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (cosπ/3+i*sinπ/3)^9

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.
[4(cos 60° + i sin 60°)]^4

Math

Complex numbers Solutions

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. [4(cos 60° + i sin 60°)]^4

Write the standard form of the complex number
8(cos(60°) + i sin(60)
Plot the complex number

Math

Complex numbers Solutions

Write the standard form of the complex number 8(cos(60°) + i sin(60) Plot the complex number

The ______of the complex number z = a + bi is z = r(cos(θ) + i sin(θ)), where r is the ______of z.and θ is________

Math

Complex numbers Solutions

The ______of the complex number z = a + bi is z = r(cos(θ) + i sin(θ)), where r is the ______of z.and θ is________

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.
(4 + 4i)^6

Math

Complex numbers Solutions

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. (4 + 4i)^6

Plot the complex number and find its absolute value.
-9 +3i
I-9 + 3i I =

Math

Complex numbers Solutions

Plot the complex number and find its absolute value. -9 +3i I-9 + 3i I =

Write the standard form of the complex number
√50[cos(225) + i*sin(225°)]
Plot the complex number

Math

Complex numbers Solutions

Write the standard form of the complex number √50[cos(225) + i*sin(225°)] Plot the complex number

Match the complex number with its representation in the complex plane.
1 + 2i

Math

Complex numbers Solutions

Match the complex number with its representation in the complex plane. 1 + 2i

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Math

Complex numbers Solutions

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