Find z(t) for X(s) = -2 s(a+1)(s+9) Select one: O a. z(t) %3D%3D30(1) + 끓etu(t)-공cos3t. u(t) + 끓sin3t. u(t) O b. x(t) = -8(t) +e tu(t) +cos3t. u(t) – sin3t. u(t) 10 O c a(t) = -0(t) +e tu(t) – cos3t. u(t) + sin3t. u(t) %3D O d. (t) = -8(t) +e u(t) – cos3t. u(t) + sin3t. u(t) O e. r(t) = -5(t) +e tu(t) -. e 4.cos3t. u(t) + .e 2. sin3t. u(t) %3D 16 Of 교(t) 3 -금이(1) + etu(t) + .e 2.cos3t. u(t)-.e 2* . sin3t. u(t) O 9.z(t)%3D-이(1) + e tu(t) +끓cos3t. u(t)-옮sin3t. u(t) 26 O h.교(t) =D -금이(t) + e'u(t)-.e..cos3t. u(t) + .et.sin3t. u(t) Oiz(t) =D -8히(6) + 끓etu(t)-.e2과. cos3t. u(t) + 쮸.e 2. sin3t. u(t)

Q: sin (t) -dt 3 (4+ cos (t))?

A:

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A: Answer is given.

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A: we have to solve the integral

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A:

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A:

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Q: L{t sin t cos t} = 2s (A) (s²+4)2 -2s (B) (s²+4)² (C) 14) (s²+4)² -8 (s²+4)2 (E) (s²+4)²

A:

Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

A:

Q: 3. Find the derivatives: 3x3-4 a) f (x) = b) y = (x2 + 6x + 2) (+ Vx5 + 3) DO NOT SIMPLIFY 2x²+3 c)…

A: a) Use quotient rule of derivative and find the derivatives of above function.

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A: Please see the whiteboard.

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

A:

Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

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A:

Q: Question 1 two variables. Given the function of f(x, y) = -9x² - 2xy - 8y² - 3 a) Find all critical…

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A:

Q: b) if J(zf64)} - 39ga) ) ce = Sin () %3D and S(3f (x)+9 6)) dx = tan () 2. 2. +596)) dx

A:

Q: Find ds/dt if 3t + 3s sin(3t) + 3cos(t) %3D

A:

Q: TT Q3(a)- P.T B(m, n) = 2 [? sin2m-10cos2n-10 d0. b. Also verify part (a) with counter example.

A: We have to prove that  βm,n=2∫0π2sin2m-1θ cos2n-1θdθ And also verify this with counter example

Q: Sx [x²cox dx U. V x² Sax - S(α (x²) [ cond) dx dx x² (sinx) - -S 2x Sinx dx U. V. x² sinx - [2x…

A:

Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: d (c) (cos(2²) + In(3 – 2æ)) dx

A:

Q: dy 2 3 ...2 C05X +sinx...y.-(4x+5). y. ---

A:

Q: MacB = (x),ƒ o (1)fp хр = (x),f o %3D (x)fp = (x),f O %3D xp = (x),f o = sin x, which of the…

A: To find the correct option.

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Q: Evaluate L{t cosh 4t. 1 1 + (s – 1)’' (s+1)* А. В. (s-1)* (s+1)* 1 1 С. (s –4)° (s+4)' 3. D. (s-4)*…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.