interior to a Ex: let to be any Simple closed Contour C, when flaxed ?? de no dz = 2πT ( Hw a) and ?? n=1,2-- b) dz (2-2)²+1 O +vely orient

Q: v 15 Find the length of PR if point is the midpoint of PR, PQ = 6x - 7, and QR = 5x +1. 8 41 16 D 82

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Q: - sin² ydy 6. 4 tan" y

A: As per the guidelines I can solve only first question

Q: dæ . (x – 3)væ² – 6x + 5 Evaluate 2.

A: To evaluate the following integral

Q: Sv-4 - y-3) dy

A:

Q: geles B=} AtC= | AtC-2D= -2 う -2D = -3 2の I +3

A: As per guidelines we can elaborate and solve your query as answer below.

Q: flx)= X tah? (X) C 2. f"G) こ

A: We have to use the quotient rule , so we assume u and v and find u' and v'

Q: lim (Vr+ 45 – Væ) =? Vx) =?

A:

Q: 1+ sinr Select one: a. -tanx + secx + c b. tanx + secx + c C. 1. +e 1 COSI d. tanx secx + c

A: First do some simplification in expression than integrate.

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: d 3) Find 6 '+2t – 9)

A: To find:

Q: if it was, y- 2X COSX+ tanx2, and it's dy

A: Solve the following

Q: Solve the equation (tan x + 1)(sin x - 1) = 0 on the interval [0, 2π).

A: (tan x + 1)(sin x - 1) = 0

Q: 2yº 4x° versal? (2x + 12)° (y + 6)°

A:

Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

Q: Find Mhe wiea of My reegon That ^Thas lies btwen inside borh currs rl-Sino and r I+ Sino

A: Given : The curves   r= 1 - sin θ   and   r= 1 + sin θ.   To determine : The area of the region that…

Q: 10 Let y = ( 2x + Then -A(2x + 10)" (2- 10)°, dy = A[ 2x + 2 - where A = %3D C = %3D

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Q: 2 2メ Q1 find dy for y = Cos ( In x + e

A: we have to derivative with respect to x

Q: ue the differntial equahion 95. X-

A:

Q: Find curlF for F = xyz?i+ x*yz?j+ x*y?zk.

A: Given, F→=xyz2i→+x4yz2j→+x4y2zk→ Used formulas, ∂∂xxn=nxn-1

Q: 14) Find CA 12 14 3+3x L. 4x+1

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Q: CoS X F 2x 7x

A:

Q: B/let Flx)=[X]-X,x E(-2,2).which valuesof x o E(X) continuaus?

A: