Find the general solution (D2 + 9)y = 5e-162x a. y = C1 cos 3x + c2 sin 3x + 18x + b. y = c cos 3x+ cz sin 3x - 18x+e C. y C1 cos 3x + C2 sin 3x - 18x2 + d. y = c cos 3x + c2 sin 3x + 18x2 + Fex e. none of these A C. 112 21 112 112

Q: Q1\ Answer only two of the following questions: A\ Evaluate f sinx esecx cos²x dx. [15] [8 4 3 1 B\…

A: We have to solve the given problems.

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A:

Q: 2. (8x+²)(8x-6) = 16 then x= 8 A. -8 B. О А ооо B О с co I m 3 с. ; D.3

A: The given expression is 8x+28x-6=16. Find the value of x. As we know exponent multiplies:…

Q: 6. Use Cramer's rule to solve: x - 4y +z = 6 4x -y + 2z = -1 2x + 2y3z = -20

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Q: موضوع الدرس: Find the sewera (BY COS X + 4X +2x S * 6 ution of Jdx + (3 $ inx+3) dy ap

A: The given differential equation is         (3ycos x + 4xex + 2x2ex)dx + (3sin x + 3)dy = 0 We can…

Q: y=Sin x -37 30 Ly= cos x - 37 -2 77 ST 377 2. HN - 15

A: Answer is mentioned below

Q: - 75ec 3x+tan 3x(sec 3x+tan 3x) cos 3x dx (7sec 3x+tan 3x)In 7 + C 7secax+tan ax + C 7 In 3 3 O c B…

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Q: Q1) find I+ Cos X | 1) \im メー30 Sin x

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Q: sinx S- cos?x+ 6cosx+13 O In cosx+3-Vcos²x+6cosx+13|+C O In cosx+3+/cos²x+6cosx+ 13 O…

A: To find:

Q: -The magnal cost of a produt is modeled by , uhen x-(5, C=40. Find the cost functon.

A: Given query is to find the cost function.

Q: Evaluate: Jcos 2xdx cos2x, cos³2x + C 6 A + 2 cos 2x + C 6 cos2x B sin 2x + C 6 sin2x 2 sin2x sin32x…

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Q: Find the general solution (D² + 9)y = 5ex – 162x? a. y = c1 cos 3x + c2 sin 3x +ex - 4 - 18x? 1 b. y…

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Q: Q1: Determine -8 sec 7x (-4 cos? 7x + 6 tan 7x) dx. 32 sin 7x – 7 48 sec 7x + C 7 A -- В -224 sin 7x…

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Q: 2. Solve: 13–22cosx−8sin’x_0≤x≤27

A: Given Trigonometric Equation Formula used

Q: The roots of a d.e are -1, 2+√3 What is the solution? y = ex(c₁ cos 3x + c₂ sin 3x) + c3 cOS X + C4…

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Q: What is the general solution of (D® + 20Dª + 100D2) y = 0 Oy = C + C2x + (C3 + Csa) cos 10r + (C4 +…

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Q: Ql:- Calculate the expression sec3.42x-5 +In4 cos30)2-4x 2 where x = 2, y = 5.…

A: Topic-Function

Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

A:

Q: L(e²'cos3t) = Select one: a. NOT b. 3 (s – 2)? + 9 C. 3 (s + 2)² + 9 O d. S-2 (s – 2)² + 9 е. s+2 (s…

A: Use the formula below to yield the result.

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: Q.3) 3+4x+20 dx = a) Q.4) f sin5x sin4x dx = tan-(+) 4 a) = (cosx - cos9x 9 cos9x c) (cosx +°%$*) +…

A: ∫1x2+4x+20dx∫sin5xsin4xdx

Q: The general solution of (D²+2D+1)(D²+4)y=0 is A y=(C,+C,x)e+C,cos2x + C ,sin2r B) none of the given…

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Q: Determine the inverse of Ax) = (x+2)² -3. j(x) =-2+x+3 b. (x)=-3±V+2 f(x) =-2+ x+3 d. (x)=-3+ +2 %3D…

A: The function is given by y = fx = x+22-3                                          ..........1 To…

Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: If = {(x, y) | 16 ≤ x² + y² ≤ 49} then: 11.000 = [ co cos (x² + y²) dA

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Q: 3. h(x) = -2x³ + 5x² + 4x° – 3x + 12x? - 4 !! f (x) f(x) →_ as x → -00 as x → +00

A: We have to find the limit of the given function.

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: Q#4 Please find the derivatives of the following functions using an appropriate method. Final Answer…

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Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e3x/2 - 4x sin…

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Q: What is the special solution y0 of the y'''+5y''+12y'+8y=5sin2x+10x2-3x+7 You can find given…

A: We have to find the solution for the differential equation…