Find the Inverse Laplace Transforms of the following functions: S³ + 3s² + 4 87 (2s - 3)³ 86 (a) F(s) = (b) F(s) =

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A: The given equation is 13zz+1=11-3i. To Write: z in the form of x+iy.

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Q: and P= (A + B) Q+(C+D) P- Q=(A+B) P+(C+D) Q- bQ (ep - dQ)' bP (e Q- dP) (21) P+Q= (22) Consequently,…

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Q: 3 a³ + b³ + c³ = 27 3 100 ¿ = 001³ + 0019 +001

A: Given information  a+b+c =3a2 +b2 +c2 =5a3 +b3 +c3 =27 Find the values of a100 +b100 +c100.

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Q: On to the assignment: 1. Compute the mathematical quantity ei. [Hint: The imaginary number i can be…

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Q: CP where d (1- (B+D)) -e (A+C) > 0, e b² (A+C) (e+d) [K₂ + (A+C)] [d K₂ −e (A+C)]² ³ PQ= P+Q= b [d…

A: The given equations are: P=A+CQ+B+DP-bPeQ-dP  . . . (30)Q=A+CP+B+DQ-bQeP-dQ . . . (31) We have to…

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Q: 1. In the number 909,507, how many times greater is the 9 in the thousands place than in the ones…

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Q: lim f(x) for the function f, defined as f(x)= X-1 X-1 √x-1 x²+x-2 x-1 if x 1

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Q: The divided difference table above is for the data: x f(x) ,,(4) ao -0.2 0.0 0.1 a) Do not apply any…

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Q: How many terms of the arithmetic sequence -2,3,8… must be added to get 1573? Thank you for the help

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Q: 2 Sphere S to be the top half of sphere · x² + y² + 2² SS₁zdS /5 calculate the integral.

A: The given Surface is the top half of the surface x2+y2+z2=a2. To Evaluate: ∬zdS.

Q: 3. Solve for the root(s) of the equation f(x)=3x³-4x²+8x+4

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Q: Draw the phase portraits of the following systems, using isoclines (a) +0+0.50=0

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Problem 9: Show that (,) is a Cauchy sequence if and only if pln+kstn) conve to zero uniformly in k.

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Q: ose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have…

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Q: and C) Define the neighborhood system. If X=(e₁,e₂,ez.e. es. e) T= {p,X, (e), (e₂). (e₁,e₂), (e₁,e).…

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Q: 3. Consider a function f(x) = based on this function: (a). (b) (c) 1 x(lnx)²¹ which is continuous on…

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Q: ) Eliminate the parameter t to find a Cartesian equation for: x = t² and y = 3 + 5t. and express…

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Q: For y’ - 2ty = 2t3 from x = 0 to 1 with y(0) = 0. Solve the Initial Value Problem analytically.

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…