use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=2.

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A: i have attached  one pic for answer and and one  explanation. Explanation:detailed explanation

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A: subject to We have to find the dual of the problem and solve it.

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Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where no symbol is repeated.

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Q: Section 3: Thinking 12. The average height of female children from birth to age 16. The equation…

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Q: I 2 Find Mass, Mx, My and and y of the Lamina bounded by y = -3.x +3, y= and x=0. and with the…

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Q: Let H span {(0,-1,-2), (-2, -4, 1), (3, 3, -1)}. A basis for the subspace HCR³ is { 2. }. vector

A: The basis are  { (1,-1,0) (0,-6,1) (0,0,13) and these are linearly independent vectorsExplanation:

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Q: Use Bernoulli's method

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A: Since 6  -35 (mod 41), we have     2x2 + 3x + 6  0 (mod 41)    => 2x2 + 3x - 35  0 (mod 41)…

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Q: S 7x²-3 3x + x√x dx 1 ," x(x+2) x-sin2x dx, - dx 4x³- x 2 √x5 +3

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Q: 3. Show that II (1+22) is absolute convergent if and only if || <1. Show k=0 that the product…

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Q: (a) V=R2×3, U = {AE R2x3 | AA² = 1}. => (b) V = R², U = {(a1, a2) E R2 ||a1|= 1}. (c) V = RN, U =…

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Q: Let M = -6 - [31] 0 be a vector in the vector space V of 2 × 2 matrices with real number entries.…

A: (a) -3, 1, -3, 2(b) &lt; -3, 1, -3, 2 &gt;Explanation:

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Q: 3. Let V be a finite-dimensional inner product space, and suppose U is a subspace of V. Show that…

A: The solution is given below Explanation:        If you are having doubt in any step please comment…

Q: Problem Set C 1. Digicel's profit function for the sale of S21 is as follows: л(q)=-2q² + 350q - 150…

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Q: 5.2. Find a unit speed curve a(s) wit' x(s) = 1/(1+s²) and 7 = 0.

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A: Solution are fully explained in below steps Explanation:

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Q: Let P(n) be the statement that a postage of n cents can be formed using just 4-cent stamps and…

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Q: Find 12% of the following function: dx لا xe = Cosh (xy)

A: The given function is: .We need to find .

Q: A DT system is described by the difference equation y[n] + 3y[n - 1] + 2y[n - 2] = 10x[n] + x[n -1]…

A: h[n]=10δ[n]+10(−1)nu[n−1]−39(−2)nu[n−1]  Formulas used in whole process   are given at the end.  In…