(4e" + 8x7 – 7 sin r)dx: O 4e" – x8 +7 cos x + c O 4e" + x8+7 cos x + c O 4e* + x* – 7 cos x + c O 4e" + x8 + 7 sin x + c O 4et + x8 - 7 sin x +c

Q: Solve the following DE: (r+sin-cose) dr+r(sin+cose)de=0 O r²+r(sin+cos) = C Or+2r²(sin-cose) = C O…

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Q: |(4e + 5z* – 3 sin z)dx- O 4e² – x³ +3 cos x + c O 4e? +x³ +3 cos x + c O 4e² +x³ - 3 sin a + c O…

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Q: 12 A A10. If B then the values of A& B =. %3D (x-2) (x+4) x-2x+4 A 2, – 2 b) -2, – 2 c) 2, 2 d) -2,…

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

Q: From the list below find the expression, identical to the given. tan 4x sin 8x + sin 3x cos 3x + cos…

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +…

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Q: "(등 -2) + ain (품 + 22) The simplified form of cos 22x) + sin O V3 cos 22x + sin 22x O v2 cos 22x + 2…

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Q: 2. Prove that csc² cos² 0-c8c20-1

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Q: c) √2 cos²x - COS X = 0 =

A: ​2​cos2x−cosx=0cosx(2​cosx−1)=0Case 1:cosx=0cosx=0⟹x=2π​,23π​,...Case…

Q: Let A = ° -2 [23] eAt = e2t T eAt = e³t eAt = e³t e³¹ = cos(3t) [- sin(3t) cos(2t) sin(2t) [ e37 .…

A: A square matrix A is given. The objective is to find the value of eAt. If A=a-bba, then eAt=eatcos…

Q: If Z-1/v2+i/v2 then the value of conjugate of Z^5=?* O cos(3n/4) O 2sin(5n/4) O 2cos(5n/4) cos(5n/4)

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Q: de -1 < B< 1 (1+B cos 0)² '

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Q: If the root of C.E. are (-2, -2, 0, ±2i) then yH = (a) A + Be-2x + Be-2* + Dcos2x + Esin2x (b) A +…

A: We have to find the following

Q: Stan 2xdx O-In(cos 2x) + C O-In (cos 2x) + C O-In (sin 2x) + C O tan² 2x 2 + C

A: INTEGRATION

Q: sin2xdx 1) S7 o sin+x+cos4x

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Q: 25-11 2-4s + 8

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Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: QUESTION 2 Je" cos(5x)dx = 7x O A. (7 cos 5x + 5 sin 5x) + C 24 O B. (7 cos 5x – 5 sin 5x) + C 74 e7…

A: Please see the explanation below

Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

Q: Evaluate V1-289z2 sin (16x) + C 17 1 sin 1 (17x) +C 17 sin (16x) + C 17 1. sin (17x) + C 17

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Q: 5. y + 4y = sin x + 3 cos x Ans: y = C₁ + C₂ cos 2x + C3 sin 2x + sinx-cosx

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Q: The f sec$30 sin 30 d0 is {A} sec*30 + C 12 {C}-cos*30 + C {D}cos 30 + C 12 {B} sec 30 + C 18 18

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Q: Show the solution for  (1 + cos A) (1 - cos A)

A: Explanation of the solution is given below..

Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

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Q: (Dª + 5D² + 4) y = 0 a. y = c1e“ + c2 cos x + c3 sin x + c4e¯ b. y = c1 cos x + c2 sin x + c3 cos 2x…

A: To find: The general solution of differential equation D4+5D2+4y=0. Given: The differential equation…

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

Q: | sin2xdx = %3D cos2x A O +C cos2x B O +C 2 cos2x+CCO -2 cos2x+CDO

A: ∫sin(2x)dx= -(cos2x)/2+C

Q: Evaluate: fcos In(sin 0 + 4) de O sin In (sin 0 + 4) - 2 cos 0 + 3 ln sin 0 + 4] + C O None of these…

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Q: c) (cos 2x)² + cos 2x + 1 = 0 [-π, π]

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