please I want an answer q1 Q1 Find the image of the semi-infinite strip x 2 5,2 < y <6 in thez - plane under the transformation (i) w = z + 3i (ii) iz + 2i.Q2 Using the Ratio Test, find the interval of convergence for the givenseries.* (x – 3)2n25"Also, find the sum of the series.Q3 Find the Surface area of the solid obtained by revolving the loop ofthe curve given by,x = t,y =t -, 0sts v3 about the X – axisQ4 Find the Taylor series expansion for the function at x = 0,S(x) = ex²-4By writing the first three non-zero terms of the expansion.

Here we will use Transformation of region in Complex plane

Answered: Find the image of the semi-infinite…

Find the image of the semi-infinite strip x 2 5,2 < y <6 in the z- plane under the transformation (i) w z+31 (11) iz + 21.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

please I want an answer q1

Q1 Find the image of the semi-infinite strip x 2 5,2 < y <6 in the
z - plane under the transformation (i) w = z + 3i (ii) iz + 2i.
Q2 Using the Ratio Test, find the interval of convergence for the given
series.
* (x – 3)2n
25"
Also, find the sum of the series.
Q3 Find the Surface area of the solid obtained by revolving the loop of
the curve given by,
x = t,
y =t -, 0sts v3 about the X – axis
Q4 Find the Taylor series expansion for the function at x = 0,
S(x) = ex²-4
By writing the first three non-zero terms of the expansion.

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