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: 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

A:

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

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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: Apæ'/s-1/Apy/s-1 %3D

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

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…