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Q: → find period of 8- @yotan 2 y. 5 cos 1o* 10 yo 11

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Q: that Find flz)= r°cos20 + ir?sin po Such %3D is analytic-

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Q: az -? Since it is du coSV.y=. av ) z = In (xry*),x = e"cosv.y= e"sinvr

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Q: Show that sin a – sin b < Ja – b), for all a and b. (Hint: MVT) use -

A: Mean Value Theorem :  The mean value theorem states that a function f which is continuous on the…

Q: Find all solutions to the equation on the interval 0, 27): cos V3 2 T 47 3' 3 47 57 3' 3 * 27 47 5T…

A: Equation

Q: Two waves travelling in the same directio are given by: y1 = 0.2 sin(2ttx-20t+0) and

A: Given,  two waves travilling in the direction are                     y1=0.2sin(2πx-20t+φ)…

Q: 2ーてスース+スニ。 A ind yh ans: スi:z )スてニリ人3:)

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Q: Find all angles between 0 and 2n satisfying the condition V2 COS T = Separate your answers with…

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Q: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

Q: 11. An expression that is equivalent to 2tan z Otan z Ocot z 02 cot z sin 2x 1-cos 2z is

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Q: Let 2=x+iy be a complex number such that coshz#0. Then Re(tanhz) is equal to * sinhycoshy…

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Q: i) um asinx-sin2z ,u fünute, fünd the vaue the uimit. tana ofa and

A: Now, the limit is finite given so, the above must be 00form So,  a cos0-2cos0=0⇒a-2=0⇒a=2

Q: Find all angles between 0 and 2T satisfying the condition COS X = 2 Separate your answers with…

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Q: S sec" (0) tan" (0) do is u = tan(0)

A: Evaluate ∫sec10θ tan8θ dθ

Q: b) Describe, the motion of a particle with position (x,y) as t varies in' tthe given interval X= 5+…

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Q: Find the crea trom X = 0 to 2 rad y=2 sin '/2 Tr x.

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Q: 4.) y= Tan (x5) 5.) y= Sin x cos COS X tan x 6) y= 1- Sec x

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Q: has at least one solu Prove that the equation r+ sin(x) = VI +3 %3D (0, т).

A: Here we have to prove that,  x+sinx=1x+3⇒f(x)=1x+3-x-sinx has at least one solution in the interval…

Q: Exercises 1) Find if z = 3 cos x – sin(xy),x = ,y = 3t -

A: The given equation is; z = 3 cosx - sin(xy) , x=1/t , y=3t

Q: ome If y tanx, prove that y"-2(y +1)(3y+1). ir If x= sect and an

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Q: Find the principle solution of sec(4z) = 2. If there is a distinct solution from the other half of…

A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

Q: According to the second translation theorem, how do we find the indicated missing factor? -2s…

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Q: 15. Restate r= 5 cos 0 in rectangular form.

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Q: Evaluate et sin z cos z dr I COS using Simpson rule with h 20

A: Simpson rule  ∫abf(x)dx=h3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+⋯+4f(xn-3)+2f(xn-2)+4f(xn-1)+f(xn) Where…

Q: In Exercises 25-28 find dr/de. 25. r= tan (2 – 0) 26. r= sec 20 tan 20 27. r= Vo sin 6 28. r= 20V…

A: r = tan2-θd rdθ = ?

Q: Y = = ecos(x) + cos(e*)

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Q: at.p.(I,.0)..and. the directiun. in. whichit.occurs

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Q: 3) if y= CoSX then shift it by a) left TC b) Down1, lett 2

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Q: If  sin⁡x=e^y,  0<x<π, what is dydx in terms of  x?

A: Given sin x = ey   ..................(1) Differentiating both sides with respect to x  d(sinx) / dx…

Q: which of the foliowing is a vaiid equ be us ed to Soiue for 2 ak di altan 40=x 60 60 bl Sin 4O= 40…

A: Given : A right triangle

Q: Find the conjugate harmonic of v(r,9) = r² cos 20-rcose+2. Show that vis harmonic.

A: Given vr,θ=r2cos2θ-rcosθ+2

Q: Show that r = cos(2theta) is symmetric about the y-axis.

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Q: %3D 20 24 tan 24 through solve this egni: Hint :oU=KL +2 =0 மு 3K²=Par ET %3D 2.

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Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof…

A: We know that  Tan(x) =sin(x)/cos(x)

Q: X sin²= cos7 zcos'dx ·COS 2

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Q: See attached image. Please provide a solution with a detailed explanation of steps.

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Q: T 2 r = 2 + 4 cos 0 Option 1 r = 2 + 4 sin 0 Option 3 axis? r=2-4 sin 0 Option 2 r=2 sin 30 Option 4

A: Which of the following is not symmetric with respect to the pi/2

Q: Assume that x, y ER and z = x + iy E C and answer the followings: 1. Evaluate sin(i) =?, cos(i) =? ,…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: 22. Determine Sz sin? y cos y dy

A: Given that: ∫0π2sin2ycos6ydy

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Question: Given y = sin u and u = 3z + 1, find dy/dr %3D Select one: 3 cos (3z + 1) O 3 csc (3z+1) O…

A: This question is related to derivatives.

Q: 213 If cot 0+ tan = and sece - sece = y, Prove that (x'y)° (xy²)*° = %3D

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Q: b) 7 ť? ezt C.) 5 sin 3€ - 3 cosh 4t

A: (b) ft=7t2e2t We know that Lft=FsFs=∫0∞ft·e-st·dt      =∫0∞7t2e2t·e-st·dt      =7∫0∞t2·e-s-2t·dt…

Q: Given, w=2iz - sin iz. Find i dz 2+ cos iz -2- cos iz -2+cos iz -2+cos z

A: image is attached

Q: Sketch X,(t) and Xa(t) Where X,() = - Sim3t Sin3t %3D 3. X,(e) = /a Sin 3t %3D

A: To draw the graph of functions X1(t)=-13sin3t and X2(t)=13sin3t, substitute different values of t in…

Q: dy 2/. 3y/3, y(2) = 0 dx

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Q: If sin-r= In y, show that UTM dy (1-2) = y. dr

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Q: Find cos(u – v) given the following information. 4 sin u = 5' 3 2 1 sin v = 3' 2

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.