L[3t³e=3tcos2t]

Q: Solve the initial value problem y"-6y'+9y=D0 for y(0)=1 and y'(0)=3. After getting the particular…

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Q: The cost of fuel to run a locomotive is proportional to the square of the speed and $25 per hour for…

A: Solution

Q: [MO52] Solve the following PDE: azu a?u at2

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Q: Use the general solution of x" + w?x = 0 given in Problem 7 to show that a solution satisfying the…

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Q: Solve the systems of linear equation below 2a + b + 5c + d = 5 a +b – 3c + 4d = –1 За + 6b — 2с + d…

A: We solve the given system of equation by Gaussian Elimination method. According to guidelines we…

Q: Let 3 ГО.5 and j = |-4 [0.5] Use the Gram-Schmidt process to determine an orthonormal basis for the…

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Q: Evaluate .(x+y² +=?) dS, where S is the portion of the paraboloid x=5+y² + z? contained within the…

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Q: laws of logic proposiltion equivalen (see your eat sheet),. prove lna - (p → q) → ¬9 is a tautology

A: A tautology is column which contains all true statements

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.  F…

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Q: Find the area enclosed by one loop of the lemniscate with equation r2 = 49 cos 20 shown in the…

A: To find the area enclosed by one loop of the below polar curve. r2=49cos2θ

Q: Find the Laplace transform of the function f(t) = e4 using direct integration. Show your solution.…

A: Given  f(t) = e2t

Q: Solve the initial value problem y"-10y'+50y-D0 for y(0)=1 and y'(0)=5. After getting the equation…

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Q: alculate the mass of the plane part  x+y+z= 1 in the first eight of the system, with a density of…

A: To calculate the mass of the plant part x+y+z=0 in the first octant with a density of ρ=11+x+y2.

Q: Бolve for y(1) : у" - у' — бу %3D 0, у0) %—D 11, у'(0) %3D 28

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Q: Consider the following initial-value problem. -1 -2 X' = + X(0) = (:)- Find the eigenvalues of the…

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Q: Using Modified Euler's Method, approximate the initial value problem for various values of x given…

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Q: 22 + y?. x2 + y? Consider the vector field F |3D x2 + y2" (a) Show that F dr = 27 for all e >0 (b)…

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Q: Find the point S so that ray (PQ) and ray (RS) are each of the same vector where P = (2, 5), Q = (1,…

A: For two vectors to be equal, their magnitudes and directions must be the same. The formula to…

Q: For items 6 -8. You have a choice of one main dish, one vegetable, and one beverage. The main dish…

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Q: F(s) = (s+2) (s+1)²+5² ° Find F(0) by use of the initial value theorem of

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Q: [MO51] Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous a.…

A: The Given P.D.Es are        (a) y+22∂2u∂x2-2xlogy∂2u∂y2+k∂u∂y-u=2e-x, k>0       (b)…

Q: 2 1) 3

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Q: 1. The binary operation * defined on Z by x * y = 2xy. Show that * is commutative and associative.…

A: 2. Given that, x*y=1+2x+2y Let x,y,z€ Z  NOW  y*x=1+2y+2x       =1+2x+2y       =x*y  So * is…

Q: alluse the gauss eteminationt to Pind the 2. -3 2-2

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Q: In Exercises 12-19, do an orbit analysis on the given function using a variety of seeds. 12. f(x) =…

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Q: Solve the following differential equations of dy +9y=2e* +18x +18 dx?

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Q: Alice chooses her password using Pokemon name. She randomly picks X Pokemons, take the first 3…

A: WPA2-PSK password can have minimun 8 character to 63 character. Alice choose he password using…

Q: 1. Determine the amount of money invested today at 12% interest can provide the following…

A: Given that, We need P312,000 for 6 year, P227,000 for the next 6 year and P89,000 thereafter. Now…

Q: . Two cubic meters per hour of water are cooled from 30 °C to 4 °C. What is the rate of heat…

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Q: Let P denote a matrix whose columns are eigenvectors K,, K2, ..., K, corresponding to distinct…

A: Given that P is a matrix whose columns are eigenvectors K1,K2,.....,Kn corresponding to distinct…

Q: The solutions of a differential equation are yi= ciey>= c, cos t, and y3 = C3 sin t. What is the…

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Q: 808 X(s) = Find the final values of the transfer function s(s2+2s+101) *

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Q: 9.4. Show that 1 dx (x² + 1)3 %3D

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Q: Consider surface S of the cone S : z = 2/a2+ y² at the point P(1, , V5). (a) Determine the vector…

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Q: Find the work done by F over the curve in the direction of increasing t. Work means line integral F…

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Q: Use X = X. + X, = eAtC + eAt -As F(s) ds to find the general solution of the given system. e X' = e…

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Q: a?u a du -4c²- ağ an | at2

A: Given P.D.E is ∂2u∂t2-c2∂2u∂x2=-4c2∂∂ξ∂u∂η where ∂∂ξ∂u∂η=0 To find : the  solution of the given…

Q: 2. Solve for z. Assume no full rotation. 23 = 2 + 2i O z = e% O z = V2e'i O z = 2ei O z = 4e*i

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Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[3 sin(-3t) – 4 cosh(-4t)]

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Q: 10z? + 7z – 12

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Q: Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

A: Given that  Fx,y,z=i+x+yzj+xy-zk and C is the boundary of the part of the plane 5x+4y+z=1 in the…

Q: Find the value of the variables of the linear equation below by using Cramer's Rule, and check your…

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Q: n southern WY the probability on any given day it will be sunny is and the probability 4 that a…

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Q: 7 7 = 0 4 1 + log2 (x – + 2x 4

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Q: L {sin(wt + O)} ; w and O are constants

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Q: Refer to the following graph. Determine whether the sequence of vertices is (a) a walk, (b) a path,…

A: Introduction: A walk is a sequence of vertices and edges in a graph; in other words, a walk is…

Q: Use Euler's theorem to decide whether the graph has an Euler circuit. (Do not actually find an Euler…

A: Given graph is Now Euler theorem: "A connected graph has the Euler circuit if and only if every…

Q: A dog food producer reduced the price of a dog food. With the price at $8 the average monthly sales…

A: Since there is multiple questions, we will solve the first question. Repost the question to get it…

Q: Find the measures of the numbered angles in the kite. The figure is not drawn to scale. m21-D' (Type…

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Q: 4-a. For the equation: (1–i)x+2i (2+3i)y+i + 3+i 3-i find the real value of x.

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