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Q: Q2 Which of s1852 forms abaris Jus tify and find the (corolinates g V=() relative to that bazis:

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Q: # Dioeribe the range of fiz) =2z for the fire quadrant, Re z20,Imz>0.

A: Given: fz=2z2, Rez≥0, Imz&gt;0 Let z=x+iy Then, x≥0, y&gt;0 fz=2z2⇒fz=2x+iy2⇒fz=2x2-y2+2ixy

Q: Im(iz) ) = Rel(7). %3D

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Q: - sin² ydy 6. 4 tan" y

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

Q: 5. Given f(x) = x² +4x +2 and g(x) = 2x – 3, find all of the following:

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Q: Cary)= x°cscx +secy Jsinx Cot y

A: Partial differentiation is a differentiation of a multivariate function with respect to only one of…

Q: Find Ta Centered at x 2 f(x)=e,a=0

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Q: H-wlo Find the dliscontinnity point of &cz):

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: The pt. (x,y) is at a distance 5 from (0,-3)

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Q: - truck driving along a freeway with traffic has travelled s(t) 3 +6t+7 meters in t %3D econds. If…

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Q: FIND dy AMD day OF *=e* AND y= e"sint cost-sint cost -sint = cost+sint dx AND dy dx AMD day dx2 AMD…

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Q: Find the laplace Sf fhe fanction: ft)esint u lt-) )= where ult- T) is aunit | tunction fur

A: We have to first use property of Laplace transform.

Q: A particle moves along a horizontal line so that its position at any time f, 0st 5 5, is given by…

A: Given that a particle is moving along a horizontal line is given by, st=-t4+5t3-7t+3   ,     0≤t≤5…

Q: ſcsch¯(1– x¯)dx

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Q: Q Use Newton method to find fis), f'9) 9. to fou 3. 10

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Q: b) Eiven that x -t'+ 3t² and y=tt- 8t? 2. Find dy i) Find when t=1 dz

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Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH

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Q: Water flows in a pipe. The velocity profile at each section of the pipe is denoted by Equation (*)…

A: (a)Now if there are turns in the pipe, this parabolic profile no longer holds. Instead the velocity…

Q: Q2 a) Find approximation 3125 an Correct to three decinial Places

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Q: If  u=sin(x+2t), then (∂2u/∂x2)=(?)(∂2u/∂t2) What is the coefficient of (∂2u/∂t2)? a) 2 b) 1/2…

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Q: yd: 學 21 thes prove thot Sing stn 22 Sin yo= 8.

A: If         α=2π7 Claim:           sinα sin2α sin4α=-7   8;   Proof:      Let's start from L.H.S:…

Q: ) Let à = psin(4)u, + p² Ug %3D Evaluate $ Ã. dl given that L is the contour of the following…

A: Given, A→=ρsinϕup→+ρ2uϕ→ The given diagram can be drawn as,

Q: 11. Find the value g"(4) for the function g(t) = 3t° + 6t° +1. 734,208 A) 430,080 B) 221,185 430,081…

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Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

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Q: What is the distance from point to the line 18/0 23 2√6 3 V30 3 P(1,1,1) [2+t] 1-4 = 2-t 3 + 2t

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Q: Sove: dy Chapter 2 +9 dy ー9ス e %31 COSTA.

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Q: Find O f") if fCX)= 6x°, (X20)

A: Find the inverse

Q: 5) у%3 е" dy 3x? = e^ · 6x dx А) бх dy B) dx - 6х = 6xe° + 3x2 dy C) dx ,3x? e 6x -1+ 3x? бхе dy D)…

A: apply chain rule of differentiation