Find the Laplace transform of the function. f(t) = 8e²cos3t

Q: 5. Ф(41) Answer: Show your work or explain your reasoning here:

A: We want to calculate ϕ(41)

Q: 4. 10p-p-2

A: The given expression is : 10p2-p-2 To factorize the given expression.

Q: b.) (x +3) : =(x +2) %3D 215

A: Here we have to find the value x=?  13x+3=25x+2

Q: 6) -x - y < 3

A:

Q: 1 6. V1+ Vrdx 0,

A: Step: 1 Given that  ∫011+xdxTake y=∫011+xdx---(1) let 1+x=t⇒x=t-1---(2)differentiating on both…

Q: 1-cos2x/1+sinx=sinx. Prove the identity

A:

Q: 15. (2 – 10e-2) 0.32

A:

Q: 26. a. 18x²y 2y b. 32x y 2x²y

A:

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: 3) %3D 2.

A: Two dimensional wave equation , by using separation of method

Q: 1. ²-4 Difference of squares

A:

Q: 35.)2x1 + x2 + 3x3 = 0 = 0 X1 + 2x2 %3D X2 + 2x3 = 0

A:

Q: k2. 7k + 10 k2. 3k k2 + Sk + 15 k2 - 4k - 12

A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: 20 9.

A:

Q: 6. + 6x) + (In x - 2)y' = 0

A: Given : yx+6x+(lnx-2)y'=0

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: Given the differential equation 2y'+y=3t. To find: (a) to draw a direction field for the give…

Q: Ч__3x т х-5 X2-4

A: Given,             4x-5+3xx2-4

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: (y>-- (2x-y 2-3 AALAM

A: Here we have to graph the given inequality:-  y&gt;-x2-22x-y ≥-3

Q: 4 y = -x-8 8. (14,-16)

A: Given equation is y = (4/7)x - 8

Q: sec. 3.

A:

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: .2 y = 4 - x² and x +y = 2.

A:

Q: 6. (r- 30)° ot

A: In this question ....we fint out all angles of triangles. we know that the sum of all angles of…

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: given x=y2 complete the table as follows

Q: 12. Sx-7 4x-1

A:

Q: 2. tox²Sc.

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 214 8.

A:

Q: 5. E1009 i-2n – 2 E7000 i¬n

A: ∑n=11009i-2n=∑n=11009-1-n          =∑n=11008-1-n+-1-1009          =-1+1-1+1...+1+-1-1009…

Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 1. (1 +V)*dz 2. (22 – 2) dr

A: Solve the following

Q: 8-8.2+5.0

A:

Q: 2. Factor x from ax + bx

A: We have to factor x from ax+bx.

Q: 5x + 8 = 78

A: We Solve the Equation, Find The value of x.  Given Equation is 5x+8= 78.

Q: 2. Ꮖ2 ds Ꮭ Ꮖ1 Ꮖ

A: The integral is: ∫x1x2dsx. To Do: We have to evaluate this integral.

Q: Differentiate.

A:

Q: General Solutions and Phase Portraits. In each of Problems 1 through 6, find the general solution of…

A: A system of equations is given as, x' = -352-522 x. The objective is to find the general solution of…