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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

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Q: L{e-to , 3+} sin

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Q: A student club holds a meeting. The domain is the set of all members of the club. M(a) denotes…

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three…

Q: Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) 52 25 - 3 2 x' = Find…

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Q: Find all points of intersection of the given curves. (Assume 0- enter POLE in the first answer…

A: Use the following formulae, to obtain the solution.…

Q: Solve the initial value problem below using the method of Laplace transforms. y' +9y' + 18y = 160 e…

A: Some of the formula of Laplace transform are Leat=1s-aLy''=s2Y(s)-sy(0)-y'(0)L-11s-a=eat

Q: (a.V)a= Va²-ax (Vxa)

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Q: Find a differential equation whose general solution is y = c₁et + c₂e-4t . = 0

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Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: 4. Solve the triple integral below using spherical coordinates IIT √√√x² + y² +2²dzdydx

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Q: (b) Let V = {0, 1, 2, 3,..., 13}. Draw the graph G = (V, E) where {s, t} € E if and only if 7 | (s –…

A: The vertex set is: V=0, 1, 2, 3, …, 13 The graph G=V, E has the property that s, t∈E if and only if…

Q: 195,000-40,000 is 155,000

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Q: The input-output matrix for a simplified economy with just three sectors (agriculture,…

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Q: 7. Sketch the surface 1≤z≤2-x² - y²

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Q: QUESTION 6 Let A, B, C, D be sets. (ANB)x(CND)=(AXC)n(BxD). True. False. QUESTION 7

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Q: A rumor about canceling spring break is being spread around a school.  The following equation models…

A: As per company guidelines we allowed to solve maximum three sub-parts please resubmit the question…

Q: b) Evaluate the contour integral i ΙΣ where C {z : |z - i| = 3} and oriented counter clock-wise.

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Q: Solve the linear programming Maximize: P = x + 2y-z Verify your Solution Start: X2424 11252 -1 -2…

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Q: 4. If tige Lim, show that fg & LUM.

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Q: The number of air safety inspectors for selected years is shown in the table. Year 1996 1997 1998…

A: Here we use the slope intercept form of the linear function to answer the question as follows.

Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: Find the solution for the intersection of the following two planes (if it exists). Otherwise show…

A: As per the question we are given two plants as : x - y + 2z = -13 -2x + 2y - 2z = 26 And we have to…

Q: Q3. Prove that if kx = ky (mod m), then x = y (mod m/d) where d = g Q4. Find the remainder when…

A: 4 We have to find the remainder when 51999!−31997! is divided by 2003 that is we have to evaluate…

Q: Show that So e-ax J₁ (bx) dx= 1 √(a³ + b³)³ (a > 0)

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Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

A: Sol

Q: Plot the following planes and the normal vectors of each plane. 3x - 6y +9z = 9 x - 2y + 3z = -4 2x…

A: We will use inter relation between planes to find there relation . As solution of two graphs gives…

Q: Suppose A and B are sets. Au B = B if and only if As B. True False

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Q: MODELING WITH MATHEMATICS You and your friend are standing on the baseline of a basketball court.…

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Q: A thin plate of constant density k, bounded by the parabola y=3x² and the line y=3 has a mass 4k.…

A: If mass of a region R bounded between y=f(x) and y=g(x) from x=a  to x=b  Then there two moments,…

Q: Prove that Jn (x) X good dx=1. n

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Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: Ⓒ Evaluate the line integral √ √xy dx + e ³ dy + xz dz с where C is panemetrvied by r(t)= , 0£t£l.

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Q: QUESTION 5 Many patients get concerned when a test involves injection of a radioactive material. For…

A: Given

Q: Solve the following linear equations using Crout's LU decomposition method. 2X₁5X2 + X3 = 12 -X₁ +…

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Q: Activity 2: You are working on another electronic system that produces a voltage (v) as a function…

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Q: Find the interval of convergence of the series (-2)*¹*¹ (x − 1)* 4* (k+1) k=1

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Q: SHOW that the topologies of the elkk е чак are Not Comparable.

A: We know that ,  ℝl is the lower limit topology generated by the basis βl consisting of all half open…

Q: Recast the system of higher order differential equations as a first order system. u""=2u-3v…

A: The given higher order differential equations are: u'''=2u-3vv''=3tu'v'-cos u Recast the system as a…

Q: 1-) L [ 2 sin ½ t cas ½ t) {

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Q: What interest rate was applied if a loan of ₱65,468 will amount to ₱125,000 borrowed for 2.5 years…

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Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: Let f: R" x R → R define as follows f(x,y) = a, then f is

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Q: i. Use partial fraction to find (1 1 sº(s – 5) -

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Q: A bagel shop sells different kinds of bagels: onion, chocolate chip, sunflower, and wheat. The…

A: As per company guidelines we allowed to solve maximum three sub-parts i am solving first three…

Q: Evaluate the integral: [(4 t³ - 9)i+sec² t (t³+4)3 k]dt +

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Q: explain the purpose of a proof by ε, δ definition of a limit.

A: Here I give the geometrical view of definition.

Q: Find the integral of the function using Trapezoidal n = 30. and using Simpson's Rule 4 3 (6x³-9x +…

A: Given integral is  ∫346x3-9x+4dx we want to evaluate that integral by Trapezoidal rule for n=30.…

Q: j Find the general solution of the following ODE by reduction of order. Given that y₁ = is a…

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Q: Let R be the region bounded by y = √25x² and y = 3. Find the volume of the solid generated when R is…

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Q: Apply the method of undetermined coefficients to find a particular solution to the following system.…

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