Compute the Inverse Laplace of the following Laplace Transforms. Show complete solution F(s) = s+3 45 +9

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+ 2...

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3                   x1,...

Q: 2. Evaluate (using graph): (i) dr -1| dr

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Q: 10. Solve each system by hand using the method of your choice. (4 each) -2x -y=-2 3x+4y - -7 (a) 2x-...

A: Here we have to find the value of X and Y of given system of equation.

Q: Calculate L4 for f(x) = 84 cos ()

A: Given,           f(x)=84cosx2  over 2π4, 2π2

Q: 1. Find det A using Pivotal Element Method. Reference 1 0 0 0 0 1 0 0 0 0 1 0 = a42 a bcd

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Q: Find fof where f(x) = 3x 5 and f: R R. - O al f(f(x)) = 9x – 20 O b f(f(x)) 9г? — 30х -25 Oo f(f(x))...

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Q: 1.T.2 Let V be the set of all twice-differentiable functions f : R → R satisfying f"(x) = f(x) – 5. ...

A: Let, f and g be two functions in V.  Then,        f"(x) = f(x) - 5       g"(x) = g(x) - 5.

Q: A classic physics problem states that if a projectile is shot vertically up into the air with an ini...

A: We have to find the time t in seconds when the object is 146 feet above.

Q: g I OPn oi lo ponnipes in b 0Nat hol tol novun and 1. Let m*(A) = 0. Prove that for every B, m*(BUA)...

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Q: Given the following matrix 4 5 -2 6 Find its two eigenvectors. A and 2- 2 and A, B A, R 5 and H2 D) ...

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 9t5

A: Here we using Laplace transformation formula .

Q: Determine whether the integral test can be used to decide convergence of the series. Explain your an...

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Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates (h...

Q: Draw a truth table based on the boolean expression: X =

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is determi...

Q: Consider the following function. f(x) = x + 1, (-1, 0) (a) Find an equation of the tangent line to t...

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Q: If the pth, qth and rth terms of an A.P. are a, b and c respectively, prove that : alq – r) + b(r – ...

A: first term  = A  COMMON DIFFERENCE = D now according to the question

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given ...

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Q: Which of the following statements are TRUE? (Select all that apply.) O Nonelementary integrals can o...

A: The statement says that nonelementary integrals can only be evaluated using partial fractions or int...

Q: 5. You are the proud parent of a baby girl. You estimate that the cost of her college education 18 y...

A: The complete solutions are given below  

Q: Find the equation of the following conic in GENERAL form. 1. Circle that is tangent to the lines x=...

A: Consider the equation of the circle is x-h2+y-k2=r2 where h, k is the centre and r is radius. It is ...

Q: D² be a differential operator Let D = be the operator of differentiation. Let L = acting on infinite...

A: Given that L be a differential operator acting on infinitely differentiable functions such that  Lfx...

Q: An imigation system uses a straight sprinkler piper= 300 ft long that pivots around a central point ...

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Q: Determine whether S = {(4,3,2), (0,3,2)(0,0,2)} is a basis for R³. If it is, write u = ( 8,3,8) as a...

A: We have to determined whether S=(4, 3, 2), (0, 3, 2), (0, 0, 2) is a basis for ℝ3 or not. also we ha...

Q: 3. A grometric series that diverges 4. A series thut diverges by the nth term best.

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Q: find a vector of length 5 unit that makes angle 76° with Y-axis and 25° with Z-axis ?

A: To find a vector of length of 5 units that makes angle 76° with y-axis and angle 25° with z-axis.

Q: Q1: Solve using Laplace transform y + 4y = 8(t), y(0) = y (0) = 0

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Q: 2. Q is an xn symmetric matrix, b is a vector of size n and c is a scalar If f(x) = x"Qx + b"x + c: ...

A: given  fx=12xTQx+bTx+c it is known that  gradient of the function can be expressed as ∂f∂xk=∑i=1nqki...

Q: 37-52. Curves to parametric equations Find parametric equations tor thre toiowing curves. Inciude an...

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Q: Problem 2. Let {a, }, be a sequence of real numbers defined by 2n+1 a1 = 1, an an-1, n 2,3,4, ... 3n...

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Q: 10x + 5y-4z + 2w 6 X + y + 4z - 3w = 2 6x + y - 8z + 5w 1 2x + 2y + 8z-w = 3 W %3D

A: Gauss-Jordan Method: In this method first we write the augmented matrix of the linear system of equa...

Q: 4. mLA Yes 4x 2x

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Q: Ra0+Q = E(t). dt

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Q: Let Pn= {ao+a1x + a2x² + ...+ anx" | ao, a1, · · · an E R} Be the amount of allpolynomial of degree ...

A: Given that Pn=a0+a1x+a2x2+....+anxn/a0, a1, a2,....., an∈R be set of all polynomial of degree highes...

Q: Note, these are solid tetrahedrons, so there will be some cannonballs obscured from view (the pictur...

A: Let's consider P(n) denotes the number of cannonballs needed to create a pyramid n layers high.

Q: An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. ...

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Q: - Solve Homogeneous Ux =4 UxX,ucoit)=0 u(lo,t)=0 らoo(Xくら uC以io)-「。 X 5 <8 Tlo

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Q: (5) If possible, give an example af each af foll o ing la) Sets A,B and c Snch that As B, B$ C A CC.

A: Here we have to solve 5(a) and 5(b) We have to give an example about the given condition.

Q: 1 To test the series for convergence, you can use the P-test. (You could also use the Integral Test,...

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Q: A light shines from the top of a pole 40 ft high. A ball is dropped from the same height from a poin...

A: INTRODUCTION: In layman's terms, the derivative of a function f(x) represents its rate of change and...

Q: 7. Find the transfer function G(s) of the system having the differential equation 2Pe + 2dc + c(t) =...

A: Given, Differential equation : 2d2ctdt2+2dctdt+c(t)=r(t)+2r(t-1) To find : Transfer function G(s) of...

Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

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Q: Without solving the following differential equations verify if the set of solutions is a vector spac...

A: To find weather the solution set of given differential equations forms a vector space or not. 

Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

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Q: 11. Solve the system using Gauss-Jordan Elimination, by hand. -x+ 2y - 3 3x - y-1 (6)

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Q: Let V be the vector space of polynomials of degree < 2 with real coefficients, endowed with the stru...

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Q: 5. Use the Limit Comparison Test to show that E=1 1+k2 1 100 Lk%31 converges.

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Q: . Two previously undeformed specimens of the same metal are to be plastically deformed by reducing t...

A: given    circular(diameter) rectangular original dimensions 18.0 20×50 deformed dimensions 15...

Q: Let S be the universal set, where: S = {1,2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, w...

A: A= { 12,18,20} B = { 3,7,13,18,20} ( A U B ) is the union of two set containing all elements that ar...

Q: 2. x + 5y +15 z + 35 w + 70t = 0 X + y + 2 + w + t = 1 x + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w...

A: To solve the given system using Gauss-Jordan method. x+5y+15z+35w+70t=0 x+y+z+w+t=1 x+2y+3z+4w+5t=0 ...

Q: Suppose that T : R → R* is a linear transformation obeying 4 7 and T 13 () Find the standard matrix ...

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