Find L[et tsin(2t) - e-2t+3 +e-2t cos 3t]

Q: d -1 ) Prove that cos 1(x) : dx V1-1

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Q: Suppose f(x) = sin 4-x). Evaluate: x) dx (A - 3cos FC B -cos 3 X-4+ C 3 Cos 3 (D) 3cos -x- 4)+C

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Q: Z1 sinh-(5el2) in rectangular form Z2 = tan-1(4 - j7) in rectangular form 4-j2 Z3 = tanh-(4e-j3) in…

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Q: 4) Solve the following linear system or indicate the nonexistence of solution. X1 – 2x2 + 5x3 – 3x4…

A: Or, take x2 = k Hence, solution of the system is x1 = 1+2k, x2 = k, x3 = 1, x4 = 2

Q: Prove that (1+i)" +1(1-i)" = 2 cos %3D

A: We will solve the following

Q: Prove that eax (a cos bx +b sin bx) + C. ax cos bxdx %3D a2 + b2

A: ∫eaxcosbxdx=eaxacosbx+bsinbxa2+b2+C

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: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

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Q: Prove that x2 cos x dx = T(2 – n) (+ sin æ)?

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Q: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

Q: L(cos3t) = S .a O s²+9 S .b O s+9 s2 –9 3 s2+9

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Q: Q3 Find and show the work for (x+3)(3x+2) dx. (a) х (b) F (sin(2x) – cos x) dx. (c) S(3x² + 2x +…

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Q: Evaluate L{t°e! e3(1 – t) 3e-t sin (4t - 2) 2) + t2 $ (3t)} cos

A: Explanation of the answer is as follows

Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

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Q: 3. ox (- w) and ¢x (@) are complex functions, i.e., x (- w) = ¢x (w)

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Q: ∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitution

A: Rewrite the equation Apply substitution u=√(cos5t)

Q: Evaluate [3(4-j4) + (j3)(++j4)]tan (4-6i)

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Q: ution t= tan 2 tan). os(x)

A: We have to choose the correct answer from the given option

Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

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Q: Identify whether or not the following equations are homogenous or non-homogenous /x² – xy tan…

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Q: 1-T= 3- Z= +cos(y)tan ( √x-b cos (n) 2-sin²(n) 2-B=sin(x) sec(x)/cscf(x) 4-(w+n)²(a+) x-3

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Q: L[2 sin² 3t] s2+9 1 S s2-36 3 s2–9 1 s2+36 |

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Q: Justify whether the equation 2xn=sinx+1 has a solution in (0,1) for every positive integer n.  If…

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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: 3. Consider the function f(t) = 2t? – 3t + 7 on the interval –1 <t <1 with periodicity P = 2 Give a…

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

A: ∫sin(2x)dx= -(cos2x)/2+C