6. Given the triangle in the figure below, use complex numbers to rotate it 7/3 radians clockwise and enlarge it by a factor of 2. 76 4 Im π 4 Re (a) Express each vertex of the triangle as a complex number; (b) Express the transformation as a complex number w; (c) Use Part (b) to find the vertices of the new triangle and plot the result.

Q: Find the polar form of the following complex numbers: (a.) z1 = 1+iv3, (b.) 22 = -2 + 2i, (с.) 23 —…

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Q: Given the complex number   z=x+yj. Determine z .   Express your final answer in rectangular form

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Q: Use the following two complex numbers to answer the remaining questions: z1= 3cis(30°) z2=…

A: Given that , z1=3cis30° and z2=4cis-120° Convert to rectangular form. Then graph both complex…

Q: Answer: a. 4cjs () b. 4cjs () c. 4cjs () d. 4cjs ()

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Q: 6. Given the triangle in the figure below, use complex numbers to rotate it л/3 radians clockwise…

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Q: Let a = -2-3i and b=5-2i, c= -√3 +7i Given the complex numbers above, find the following complex…

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Q: Evaluate (3 – 4i)'

A: To evaluate the below complex number. 3−4ii

Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: For -343, (a) find all cube roots of the complex number. Write answers in trigonometric form. (b)…

A: We have to find cube root of  Now,

Q: а. Simplify: i20 + 3i18 — 2115 — 2111 + 5 (34-120°)+(14120°) b. (Express your answer in exponential…

A: We have to solve given problems:

Q: a. Convert complex number (−2 − 6 i) to the polar form and represent it graphically

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Q: principal values

A: We will use the definition of cos hyperbolic function of complex numbers to find the result. cosh…

Q: Consider the complex numbers 6v6 11 + V2 3 11 and + 5 W = - = 2 v2 Write in the form reto |wz|

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Q: a

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