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Q: 3. RT = 22 and US = 18 VT = UV = S RS = %3D U T.

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Q: Show the only soution to ax = 1, a + 0, is x = a^-1|

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Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: Boundany condition

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Theorem 8o4 ŏ In a parallileguam, oppesitiangles ale equal aie

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Q: 2) Show that the cosine(45°) = V2 * (0.707). Let “u" = 22.5°, use calculator. %3D - 2

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Q: Compote clerivative bao fx)= cot(x), x=0.8 flx)=cot(x, %3D fl0.8) =

A: We use basic inverse trigonometric identity.

Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

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Q: The formula in cell B1 is =A$2. auto fill is used by dragging B1's auto fill box across to c1,D1 and…

A: Enter A$2 in cell B1. Then Autofill is used by dragging B1's autofill box across to C1, D1, and E1,…

Q: Solve the Divichlet BUP Per an annulus Satisfying Pde: urr +t ur tte Yoo=0 Acr<2, ニo ノ acOc2た

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Q: If Z= cos20+isin 20 prove that = sec² 0 %3D (Z +1)

A: We have to prove L.H.S = R.H.S

Q: x*y" + xy'+4y= 2x Ina

A: Cauchy linear differential equation

Q: The equation +y= 9 in 3-space is cylinder Select one TrueO FalseO

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Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: To/t Integrate Ua ko To 3. Uz kg 2. eT-1

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Q: Using the substitution u = 2x – 1, prove that - -3 8 dx 1 (2x-1)3 25

A: The given integral is ∫13x(2x-1)3dx Put 2x-1=t⇒2dx=dt when x=1 then t=1 and when x=3 then t=5 So,…

Q: 18, where 1, 2, 5. Consider the solutions are there uation 2i Eg + Tg + Tar uovenba (a) if z1, r2,…

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Q: Find all the joint moments m, n and k = 0,1,.... "nk

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Q: 2. (– 13 + 3i)31

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Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

Q: et A be 4X4r nas non-brivial . -son-

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Q: 2.Prove that I (sinwt) : s2+w?

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Q: △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove…

A: Given △XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1)

Q: Give the 11th pair of integral values of x and y, where x<0 and y<0. Using linear diophantine…

A: 1) The given equation is 12x-18y=48

Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

Q: *Write ascript Ble for tayler polynamial of order 5 foU= LnX near Por where the out put is ycl-15).…

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Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

A: Since your question contains multipart, we solve only 1,2,3. If you need any particular question…

Q: Use the inclusion-exclusion principle to find the number of solutions to the equation x + y + z =…

A: According to the given information, it is required to solve the question 2. It is required to…

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: (x) = 3x +12x+2, %3D ues of a, b and c such that

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Q: 7 cos(z) Driented ris countercleckwise ortented rectangle with -2-i , 2-i, 2té, -2ti

A: Contour integration

Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: Solve (y(1+1) + coxy) dan + [n+lope-nsmy] =

A: 25. The given differential equation is                                     y1+1x+cos ydx+x+log x-x…

Q: ydy 4. S (1 + 3²) ² 4

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Q: 7) [[3embch5y] dvl [jel*5) dy] „In[sec h 5y]

A: Using rule of logarithm &amp; integration formula of sech(x)

Q: About proportionsIf a/b = c/d and r/s = m/n , form a single proportion involving the eight…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. Prove: -| s|x - y| Vx, yER

A: Solve the question number 4 as asked by the user

Q: 11T |13T V2 - V6, determine the value of sec 60. Given that sec 12 %3D 12

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Q: 5xー 4 Standad ferm: Clausity. End be havier:

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Q: vsin ax (02+4)4= sin x is the fun ction with y %3D

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Q: 3 tari' (xty) , Prane that x2+ ydz Sen 2z be

A: We have z=tan-1x+yx-y This implies tanz=x+yx-y Let u=tanz Then we first need to find the degree of…

Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

A: Cubic interpolation method gives the following formula for evaluation, For, μ2=a(∅')-h1+∈ Therefore,…