Question 4 cosh (T-i) = e cosl - i e sin 1 + e cos 1 + ie sin 1 e cosl + i e sin 1 e-I cos 1 + i e sin 1 TT TT -TT e cosl - ieT sin 1 + e-I cos 1 – i e-I sin 1 e cosl - ie sin 1 + e cos 1 + i e sin 1 2.

Q: Question 9 The general solution for the DE y + 4y=tan(2x) is given by cy=c;cos(2x) + czsin(2x) + =…

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Q: Question 3 What is the general solution of 6y(2y sec2r + tan2r)dx = cos2r(4y- 3sec2x 18y tan2x)dy ?…

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Q: Question 8: (8.1) Let z = Z2 where Z₁ = tan 0 + i and Z₂ = Z₁. Find an expression for z" with n € N.…

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Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

Q: Question 3 S sin 7y sin 2y dy is equal to O m cos 5y- 18 Cos 9y + C 10 O sin 5y - sin 9y + C O TO…

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Q: (cos 0, sin 0) TO 90° 2 /3 2 2 (0,1)1 (글을) (号号) (을) /3 2 2 2 /2 (을을) 2n 120°, 3 60°, 3 45.A TC 135°,…

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Q: Question 16 n2x cos3x dx= sin5xdx - sinxdx A) True B False Question 17 csch2zdz=–In|csch2z –…

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Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

Q: cos(1) dt Using an appropriate substitution, evaluate: [2 + sin(1) ]* ™ 3 A +C [2+ sin(1) ]} B 3[2+…

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Q: Question 11 xdx=2 2 xp- 2 2 A) True B) False Question 12 To evaluate e"sin2(e2") cos(e2") dx. we let…

A: Find your answer below

Q: Question 8 Given f (x, y, z) = zey - x sin-¹(3), what is fzz |ƒ(0,2,1)? 2e² 1 1 √√3 1 √3 none of the…

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Q: Question 3 z+3 dx Use the substitution u = 1 - 2. 1 O sec I|+3 sin x+C OIn(1 – a) + 3 sin-1 a + C…

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Q: Question 3 4. a) Integrate tan (0) sec (0)d0.

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Q: Question 32 of 34 Evaluate f sin7 x cos³ x dx x cos' x dx O A) -sin x/8 + sin 10x/10 + C OB) I DONT…

A: Solution

Q: QUESTION 2 27 元 +icos 9. TC sin 9 1-i 0-i 0 +i 1+ i Windowsi

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Q: Question 15 If e/2i =sin2 then z = - 2i In(sin2) + 4kT - 2 In(sin2) + 4kT - 2i In(sin2) – 4kT 2i…

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Q: Question 8 D I cos(2z)dr = %3D A sin(2z) +C B cos(2z) + sin(27) +C c z sin(2z) – ocos(2r) + C 글프…

A: Basics of Calculus.

Q: Kreyszig Chapter 1, Section 1.5, Additional Question 01 Find the particular solution for the given…

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Q: Use a change of variables or Table toevaluate the following definite integrals.

A: ∫01/8x1-16 x2 dx

Q: Question 19 Given f(x,y) = ex cos y, Evaluate fx(0,2) A) e² B 0 (C) -sin 2 D) cos 2

A: Topic = Derivative

Q: 2. c=² (cos 0 - i sin 0) B e(cos 20 + i sin 20) C Cos 20 – i sin 20 e² (cos 0 – isin 0)

A: We will use the following Identity

Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: Problem 3. Prove that 2 (b) L(r} : a (a) L{sin at} : %3D s2 +a? (c) L{cosh at} : 52 – a²° -

A: Explanation of the solution is given below...

Q: Question 16 Evaluate: SVX+ sin/x dx. A) None of the given choices 2x+ cos/x + C B 2 x+2cosx +C…

A: Integration :- An integral assigns numbers to functions in a way that describes displacement, area,…

Q: 450 400 AA 350 300 250 200 150 100 50 -4 -50 8 16 24 28 36 12 20 32 -100 -150 -200 -250 -300 Dy =…

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Q: Question 16 Evaluate: [Vx + sin/ dx. A None of the given choices 2x+ cos/x B + C 2 © x+2cosx + C D…

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And ∫a·fxdx=a·∫fxdx, where a is the constant.…

Q: sheet 1 Salve the following -(0°+4)y=sin2x Ans. ypニーX cos.2X P=ーx2 %3D 5- (0-20-)y=ecost X2

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: assume cos(t)=-1/4 where pi/2<t<pi cos(-t)= sin(t)= sin(-t)= sin(-t)+cos(-t)=…

A: Given:

Q: Question 6 S sin(x) dx = a) sin ()x + C O b) - cos(x) + C O9 - cos(x)x+ C Od) x+ C

A: Given query is to find the integral of sin(π).

Q: QUESTION 5 Evaluate the integral: S sin?(2x)cos (2x) dx O sin°(2x) sin'(2x) + C 14 O sin°(2x) sin…

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Q: Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va…

A: To find out the derivative of the function.

Q: Question 2 Question 1 Find the solution. Find the solution. 6y'-2y = xy4 dy x-+2y = –, y (2) = 1 dx…

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Q: 1) Solve det [i4(îĥ.ở)] where ở li ). and în = COS + sin j. (i = V-1)

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Q: Question 2 Differentiate y= (3 cos x – 2 sin (2r))² A y' = [-6 cos x + 4 sin (2x)][8 cos (2x) + 6…

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Q: Question 20 Solve (x + Vy² – x²) y' – y= 0 O '(÷) - In y - sin O None of the choices O In y – sin )…

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Q: QUESTION 9 (s+3)² +9 e*[cos(3t) – sin(3t)] O e-3[cos(3t)- sin(3t)] e-3[cos(3t) – 3sin(30)] O e…

A: The given function is  [S/{( s+3)^2 + 9}]  In this problem we use the shifting properties of Inverse…

Q: The value of A. - 3 cos (1²/³) + C C-3 cos (¹/3) + C sin(1¹/3) dt

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Q: QUESTION 4 SIn(x +2) dx = O A (x +2) In(x+2)- 20x +C O B. x In(x + 2) 20 " -x+ C 20 OC (x +2) In(x…

A: Integrated by part

Q: Question 3 (a) Evaluate de. 0 1+ sin2e 1+tan? z (b) Evaluate . dz, tan z where C is Izl = 4…

A: To evaluate: I=∫0π11+sin2θdθ.

Q: Question 9 The integral S x dx x²+√√x²-1-1 A /co B / Ⓒece s cose de 1 - sine sec²0 de 1+ tane secᎾ…

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Q: QUESTION 3 Je* sin(3x)dx = %3D e8x OA 73 (3 sin3x – 8 cos3x) + C e° 8x OB. (8 sin3x – 3 cos 3x) + C…

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Q: 0.2 Use Euler's identity to (a) show that (i) cos(0 – 1/2) = sin(0), (ii) – sin(0 – 1/2) = cos(0),…

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Q: Question 7 What is the integral of f cos (2t)dt? O None of the choices cos (2z) sin(2r) 3 cos(2t)…

A: Given query is to find the integral.

Q: Question 1.i.) A truncated sine wave { sin5x, y = f(x) = 0, %3D otherwise

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Q: QUESTION 11 Scos(x) dx Find 1 sin(x) – sin (x) + ar 3 1 cos(x) + cos (x)+ C O 1 sin (x)- 3sin2(x) +…

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Q: QUESTION 2 If y-sin-¹ z, show that d'y Hence, deduce that -(1)-(2) - <- 0. dz = M dz dz

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Q: Problem 1. What is the distance travelled by a point during the time t, if it moves in X- Y plane…

A: Given that x=asinωt and y=a(1-cosωt) are relative to each other. We need to find the distance…

Q: Question 6 Find the solution. (D4 + 18D2 + 81)y = 0 y = (c, + c,x) cos3x + (c,+cx) sin3x. B y = (c,…

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Q: By Euler's formulae eia = cos a + i sin a and substitute in the above equation. 00 U (a, 0) = (cos…

A: It is because of odd function integration over symmetric interval.