Solve the following equation in the complex variable z: |z|2 = 12 − |z| and draw the result on the complex plane.

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A: Topic:- sequence and series

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A: This question can be solved using the concept of area under curve.

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A: answer is in next step

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A: Given,  ∫ x4x5+4dx

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A: Given: So,             f''(x)=x2x2-4''          =-8xx2-42'          =-8-3x2-4x2-43 Concave Up:…

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A: From the given data: Here, the complete 2π rotation is done in 3 seconds.  So, dθdt=2π3 rad/sec

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A: Find your answer below

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A: Given query is to find the area under the graph.

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A: We will find the cross product and area.

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A: To find derivative of given function.

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A: we have to find fxx and fyy.

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A: Topic:- sequence and series

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A: for radius of convergence of a series  we will calculatelimn→∞an+1an&lt;1  for the series ∑an  and…

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Q: solve

A: We will solve the problems.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Explanation of the answer is as follows

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A: The given function y=16t3+24t2 on 1,2

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A: We can solve as follows

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Q: 4) Find the sum =1 an for the geometric sequence an = 10 - 3 %3D

A: The geometric sequence, an=10.3n-1

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A: Given problem:-

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A: topic- functions