Solve the system -4 -2 vith (0) 10 4 = TH -2 [:] 1 Sive your solution in real form. =₁(t) = (cos(-2t)+sin(8t)-sin(-2t))e^(2t)

Q: B. Find L{f (t)} using the appropriate formula. Note: a, b, and n are constants. 1. f(1)=(r* -3)' 2.…

A: Given f(t)=eat-2btf(t)=e(a-2b)t

Q: What is the formula for integrating sin 40 cos 20d0 ? S (sin 60 – sin 20) do S (sin 60 + sin 20) de…

A: SOLUTION-

Q: Let Find A-¹ and use it to solve where where x₁ = -24 and 2 -0 = A = 4 -3 4 4 AX = B B = (²3) X = -…

A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

Q: 2sin^(2)5theta +sin5theta -1=0 *find all degree solutions

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Q: Find all solutions to the equation: sin²(x) + cos(x) = -1. π (A) x = (+2mn) (B) x==²=², 6' (D)…

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Q: R 2. (a) Solve the equation sin¹(3x) = -x, giving the solution in an exact form.

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Q: Solve the equation for 0 <0 < 2n cos(20) = - cos(0)

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Q: T 10+ f¹(2 cos²x-cosx-1)=8, f(-2)=0, x= 0, 2 Solve for X.

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Q: (b) Solve : d²y - 3.x+5y= sin(log x) dx dy dx हल कीजिए dy 2dy- 3x+ dx Sy sin(log x) dx

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Q: Newton - RaphsonMethed Lnlx-1)+ cos(メ-L)=o P(xn)laーメn

A: The formula to find the next iteration according to Newton's method is:

Q: d? -(sin-'(x²)) dx2 2– 4x4 A 3 2– 2x4 B 3 2+2x4 3. 2+4x4 D

A: Here we have to use the concept of derivative

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: (cos(30) + i sin(30))5 in exponential form

A: Given expression is We know that  Therefore, Now, Thus,

Q: (8/cos(x)+1)+(8/cos(x)-1)=−16 csc(x) cot(x) Steps that is takes to get from…

A: Given that LHS is 8cosx+1+8cosx-1.

Q: 9) Sen (2x²) 3xdx DE Cos (3x²) Sxdx tan (6x²-4) 2xdx (1) X Sen (4x²³-2) 16x³dx

A: Solution is given below.

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

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Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: cos( 2 cos (x/ 12)) = Select one: O None O 24 x / ( 144 + x²) O 2x ( 144 - x² )º.5 / ( 2x² - 144 )…

A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: instead of cube there is a square in that equation 3(2x-1)2 please solve

A: Given,           ∫2x-1cos32x-12+632x-12+6dx

Q: 0 a "/2 ((+ cos@)-1)sin@d0 + a |((1+ cose) - 1)sinede 3 3 a ("/2 (1+3cos@+3cos 0+ cos 0-1)sin@de a3…

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Q: y'+Sy +b4= x²eX Sin5x Find the general solution of the equation.

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Q: Apæ'/s-1/Apy/s-1 %3D

A: The given equation is: xy=λρx1s-1λρy1s-1

Q: ху' %3D у (1 — х tan x) + x? cos х x) + x² COS X

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: a) y = (3x²-7) 5 (x²+x)9 7x b) x= c²² Sin²x (x²_qx+5)³ C) y = (Sinx) Sin - ² x 3

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Q: f'(3i) = -i, g(7+ 2i) = 3i, g'(7 +2i) = -4. Find (f o g)'(7+2i). 4i -4i 2.

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Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

A: Given ,  2cos^2(x) - cos(x) =1 on [0,2pi)   Substitute  u  for  cos⁡(x) .  2(u)2−(u)=1…

Q: sin(16x) cos(8x) =;(sin( x) + sin( -8 2))

A: Let the given trigonometric function be y - y = sin(16x)cos(8x)Divide and multiply by 2 on the right…