Let R := Z5[i] . a. Is 2 + 3i a unit in R? b. Find the idempotents of R. c. Find the characteristic or R.

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A: Given

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A: Solution of the problem as follows

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A: The Lagrange's formula is…

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A: Show that for all values of θ and φ, the point (a sinφcosθ, a sinφsinθ, a cosφ) lies on the sphere…

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A: We are asked to find the area of the specified region.

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Q: Find the areas of the regions Inside one leaf of the three-leaved rose r = cos 3θ

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Q: We have to find ths [EF] if: [AB]= 3cm [BC]=2cm [AE]=1,5 cm Using the Thales's theorem

A: We have to find ths [EF] if: [AB]= 3cm [BC]=2cm [AE]=1,5 cm Using the Thales's theorem

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A: (a) Obtain the required relation as follows.

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A: a). Given,

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A: Please refer the attached image for complete solution.

Q: nd the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form…

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A: Recall the below fact.

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A: As per the guidelines, I am solving the first three sub parts. Kindly repost other questions…

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A: We will solve the problem

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