question number 33
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Q: 11. y = x² sin x + 2x cos x – 2 sin x 12. y = x² cos x 2x sin x – 2 cos x - -
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Q: | cos(5x) sin(13x)dx = 1 sin(&x) ) sin(18x 4 6. OB. - 5 sin(5x) sin(13x) + 13 cos(5x) 1 cos(1&x)…
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Q: If y = cos x + sin 2x, find the value of y" - y + 3) O 2 cos x + sin x – 2 cos 2x – sin 2x O 2 cos x…
A: Given that: y=cosx+sin2x
Q: 13. If x = Cos0 + Cos 20 and y Sin0+ Sin 20. Show that: i) x-y' Cos 20+2Cos30 + Cos40 %3D ii) 2xy…
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Q: If x= cos n + cos 2n and y=sin n + sin 2n show that 2xy= sin 2n+2sin 3n+sin 4n
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Q: 1- cos 2x 2 1+ cos 2x 1 (1- cos? 2x)(1+cos 2x) dx = 8. 8.3.25 sin2 z cos a dx = 1+ 8 dx = cos 2x -…
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Q: solve it 1- cos x 37. 1+ cos x 3 38. sin x = cos 2x 39. tan'x + tan?x – 3 tan x – 3 = 0 40. cos 2x…
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Q: 1. Show that | sin x cos3 x dx = sin® x sin x +C = - 8. cos*x, cosx cosx +C 3
A: To prove:-
Q: Number 29
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Q: Number 33
A: Given,
Q: 18. Evaluate ſe3 cos 2x sin 2x dx 1,3 cos 2x + C c.e3cos 2x + C B. -e3 cos 2x + C e3 cos 2x D. 6 sin…
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Q: 6. S cos 4x cosx dx will yield B.금sin Sx + 등sin 3x +c А. sin 5x + sin 3x + C c. 글cos 5x-글cos 3x + C…
A: Note: As per company policy we should solve only one question. So kindly repost the other questions…
Q: sin(6x) cos(4x)dx% = %3D (b) ÷( + ) Nin (6x) cos (2x) COR +c 2. 2)+ (e) None Cos (2x) Cos (10x sin…
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Q: tan 2x – 1 dx. 5 tan 2x + 5 Q5: Determine 1 In |sin 2x + cos 2x| + C 10 A 1 В In |sin x + cos x| +C…
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Q: Graph the functions in Exercises 13–20. What is the period of each function?
A: Dear student, Since you have posted multiple questions, as per our policy we will answer first…
Q: $5. (i) show that: sin 0+sin 20 = tan 0 1+cos 0+cos 20 (ii)Find the general solution of the equation…
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Q: 2. (sin 0 – 2r cos² 0)dr + r cos 0(2r sin 0 + 1)d0 = 0 %3!
A: Given- sinθ-2rcos2θdr+rcosθ2rsinθ+1dθ=0 To Solve- The above first order differential equation.
Q: 1. Show that sin® x +C 8 cos x + C 8. sin x cos* x, cos x | sin x cos x dx = 6 3
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Q: Solve the initial value problem. * = et sin (et - 4), y(ln 4) = 0 %3D O A) y = -cos (et - 4) + 1 %3D…
A: Given:- D.E:dydt=et sm et -4 Initial condition: y ln 4=0 To calculate:…
Q: sin(6x) cos(4x) dx = sin (2x) sin (6x) (b) 글(s сов (2х) cos (6x) 2 o+( cos (2x) cos (10x) sin (2x)…
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Q: 3x cos 8x dx e3x e3x A) [8 sin 8x - 3 cos 8x] + C B) [8 sin 8x + 3 cos 8x] + C C) (8 e3x sin 8x + 3…
A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: If x = Cos0 + Cos 20 and y= Sine+ Sin 20. Show that : i) x'-y' ii) 2xy Sin 20 + 2 Sin30 + Sin40 Cos…
A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ
Q: 1 os( 1 (sin(7z))* =| x)+ cos( x)
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Q: 1. 2 (costv) -cos(3) + cos(5x) -) Ans. cos(x)
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Q: (sin 4z + cos 4) O 2+ sin 4I COs 4r O 1+2 sin 4x cos 4x O 4+ sin 4I COs 4x O 1+2 tan 4x cos 4x O 1-…
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Q: 16. If 2 sin 2x s 3 cos2x and 0s 2x then x=
A: Given : if 2sin2x = 3cos2x and 0≤2x≤π2 . then we have to find the value of x.
Q: 1-tanh² x sinh(2x) O cosh(2x) O sech(2x) O csch(2x) O Leave Question O |
A: To compute1+tanh2x1-tanh2x
Q: sin(4x) cos(2.x) dx n (2x) sin (6x) cos (2x) cos 2. ()= 4 'cos (2x) cos (10x sin (2x) trts 10 (e)…
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Q: 4. If y3 +x³ = sin y + sin x find. dx 3y²-cosy А. cos x-3x2 3y2-cos y В. - cos x-3x2 cos x-3x2 C.…
A: Given: y3+x3=siny+sinx To find: dydx=?
Q: Integration techniques: Use whatever method you like to solveeach of the given definite and…
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Q: 1. fcosax tan(sin ax)dx - In |cos(sin ax)|+ c ans : or In |sec(sin ax)| + c 2. Ssin(cos.x)·sin x dx…
A: Here we use the other formulas with the given one and also use substitution.
Q: (11) y" +3y' – 2y = e-2"[(20x + 4) cos 3x + (-32.x + 26) sin 3.x] (12) y" + 9y = sin 3.x + cos 2.x
A: We are entitled to solve only one ques at a time and up to 3 subparts only. Given - y'' + 3y' - 2y =…
Q: 5. (sin 0 – 2r cos² 0) dr + r cos 0 (2r sin 0 + 1) d0 = 0
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Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)
A: In both cases there is translation of graph.
Q: 10x 19) y Sin'(5x') (ans.: JI-25 x' 20) y= Cot ) (ans.: 1+ x' 6x' 21) y=tan'V4x'- 2 (ans.: (4x'-1…
A: As per guidelines we can only solve first question or first three subparts of the question, I am…
Q: 2. (sin 0 – 2r cos² 0)dr + r cos 0(2r sin 0 + 1)d0 =
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Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx=- and x terminates in quadrant II. 17 sin 2x cos 2x %3D…
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Q: Evaluate: 8 sin xcos xcos 2.xdx -cos 2x- 1 cos 2x +C 10 8 cos 2x--cos 2x +C С. A. 14 1 -cos 2x 10 1…
A: Integration is generally used to calculate area under the curve. When function definition changes…
Q: 3. у"-2у'-sin 4x 1 cos 4x 40 1 -sin 4x 20 Ans. y %3D с + C,e* + -
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Q: Sx' cos(x4) dx = o 1 cos(x*) + c 4 - -1 - cos(x*)+ c 4 1 sin(x*) + c 4 -1 sin(x*) + c 4
A: *concept :- let, x^4 = t then integrate the simplified term cos(t).
Q: What is the particular solution of the function 3e" sin 5x – cos 5x? A cos 5æ + Bsin 5x + C'e" cos…
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Q: If y = sin(x + 4) cos(7 – x), then is dx A. sin(2r – 3) B. -sin(7–x) cos(x+4) C. cos(2r – 3) D.…
A: We have to find derivative
Q: = =. 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3| + tan 0,}: Show, {tan 01 + tan 02 + tan 03 +…
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Q: O yotan' (x'+3x-s)+ sin (x²s 2x -1)
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: sin(4x) cos (2x) dx = +(st)(9) (e) None sin sin (con (2x) Cos сов (10х) sin (2x) sin (10x) (e)( (Cо…
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Q: sin 0 + In () + 22+3 = -3 1- cos 26 In y? + 322 – 4 = 2 2 + 2ln y+ 22 = -3 1+ (cot 0)2
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Q: 2 cos(5x) – 5 x² – 2 lim sin(3x) – x² – 3x - - (Write your answer in the given box)
A: We will use L'Hopital rule
Q: sin 2x, Which of the following is equal to sin x cOs x + C 2 sin x + C Option 1 Option 2 sin 2x + C…
A: As we know that the trigonometric identity: sin2x=2sinxcosx And ∫a·fxdx=a∫fxdx Given: I=∫sin2xsinxdx
Q: 7/2 S/² sin(x/2) cos(x/3) dx
A: This question is based on definite integral.
Q: cos x sin x dx 4. sin 2x cos 2x dx 5. cos x sin* x dx 6. sin 3x dx 7. sin³ x cos? x dx 8. 3.
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