Write the complex number in rectangular form. 5 cis 315°

Q: Find the two square roots for the following complex number. Write your answers in standard form.…

A: Given -49

Q: Find the two square roots for the following complex number. Write your answers in standard form.…

A: The complex number is written in the form a+ib. The value of i2 is -1. The square of the sum of two…

Q: Write the complex number in polar form 6 + 6V3i

A: General form of a complex number is,                 x + iy  Polar form of complex…

Q: Find the complex fifth roots of -1 + i. Write roots in rectangular form. If necessary, round to the…

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Q: perform the indicated operations and express the answer in the standard form of a complex number. (3…

A: Given expression: z=3+4i2i The standard form of a complex number is Z=a+bi.

Q: Find the given power. Write answer in rectangular form. (Hint: first write the complex number in…

A: Given, Complex number  =  (-52 + 52i)4  Let's assume z = -52 + 52i  Then arugment of z = θ =…

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

A: Let Z = (1- i)^10. We Find Indicated power of the complex number. We write the answer in rectangular…

Q: Find the indicated roots of the following complex number. Write your answer in polar form in…

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Q: (-4+5i)(-6+6i) - your answer as a complex number in standa

A: Here we have to Multiplying (-4 + 5i)(-6 + 6i)

Q: Find the two square roots for the following complex number. Write your answers in standard form.…

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Q: Perform the indicated operation & simplify. Express the answer as a complex number. (7 + 2i)( – 8 +…

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Q: Write the complex number (-1-i)0 in the form x+iy - 8 Ob. 16 -32 d. 32i

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Perform the indicated operation & simplify. Express the answer as a complex number. (4 10i)(1- 5t) =…

A: Given that, (4 - 10i)(1 - 5i) We have to solve the given expression and find the answer as a complex…

Q: The value Va? + b² is the of the complex number a + bi.

A: The absolute value of any real number is a real numbers itself . The general form of complex number…

Q: Find the three cube roots of the following complex number. Write the results in both polar and…

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Q: Use DeMoivre’s Theorem to find the indicated power of the complex number .Write answer in…

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

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Q: 19) Write the complex number in polar form. -12 – 7j

A: Given the complex number, z=-12-7i The objective is to write the complex number in polar form.

Q: (-1+4i)(9–4i)

A: The solution are next step

Q: convert complex numbers to trigonomettic form and then Simplify the expression write the answer in…

A: 3-3i36=361-3i6=361-3i23=361-3-23i3=-23.361+3i3=-23.361-33i+33i-9=-23.36-8=26.36.…

Q: Convert the complex number below to rectangular form: Z = 10ei

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Q: Divide. -3+5i 5+6i Write your answer as a complex number in standard form.

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Topic -multiplication Of complex numbers

Q: Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a…

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Q: 1. Write the complex number i+2 in the form of rei® .

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Q: Write the complex number in rectangular form. 0.2(cos290° + i sin 290°) 0.2(cos 290° + i sin 290°) =…

A: Use rectangular form : x+ iy

Q: Find the two square roots for the following complex number. Write your answers in standard form.…

A: let us take z=x+iy  is any complex no    given   z2= -6+63    x2-y2+ 2xyi=-6+63 i    x2-y2= -6…

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: To , Solve the given Complex Problem.

Q: Write the complex number i+2 in the form of reie

A: To represent the complex number in exponential form , use the following formulae. Where, x and y…

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Given: √-3 ∙ √-12

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: Which complex number is equivalent to (7– 9i) – (-1+3i) ? A 6 6i 6 12i 8 6i D D 8- 12i B C.

A: On solving, we get

Q: Which point represents the complex number -3+2i? 4i 31 A 2 -2i D 31 6. 4. 우

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Q: Write the complex number i+2 in the form of rel0

A: image is attached with detailed solution.

Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

A: Given:

Q: Find a complex number z, where (10 + 6i) + z is a real number. i Then find the product of your…

A: A complex number is of the form a+ib ,where a and b are real numbers and i2=-1

Q: Convert all complex numbers to trigonometric form and then simplify the expression. Write the answer…

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write your answer in…

A: Z = (4 + 4 i)5 Z = 45 (1+ i)5 Z = 45 ( √2)5 [(1/ √2)  + (i/ √2) )5 Z = 4522√2 [cos(pi/4) + i…

Q: Write the complex number in trigonometric form. Begin by sketching the graph to help find the…

A: write the complex number in trigonometric form

Q: Convert the complex number into rectangular form. Give exact answers for a and b (no decimal or trig…

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Q: Perform the operation and simplify. Express the answer in terms of i (as a complex number). Show the…

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Q: Find the sum and the product of the given complex numbers. Plot a quadrilateral with the origin, the…

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Q: Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).…

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Q: Write the complex number in polar form 4-4 sq root 3 i =

A: First we will find the magnitude of the complex number and then proceed

Q: Write the complex number in polar form. -12 – 7j

A: Find the argument and the magnitude of the given complex number

Q: 1. Write the complex number i +2 in the form of rele

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Q: Add the two complex numbers: (3 + 4i) + (5i).

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Q: Determine the magnitude of the complex number, X. x-(8e(4ery

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Q: Convert all complex numbers to trigonometric form and then simplify the expression. Write the answer…

A: (-1-i)2(2i)2(-2+2i) -12-2-1i+i24i2-2+2i 1+2i-14-12-1+i    .............................As we know,…