E. Using congruence's, solve each Linear Diophantine Equation 1. 3x + 4y = 5 2. 15x +21y = 39 3. 48x + 84y = 144

Q: y" + 3y² - 2 = e².sint (Variation of parameters)

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Q: 2 Find the volume of the parallelepiped whose edges are represented by A = î - 13ĵ+ 4k, B = 3î + 2ĵ-…

A: Follow the steps.

Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(2,0)=sinx.

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Q: Step 4: Analyze the function. f(x) = 8 sin(x - ²3/TT) - 4 Describe the transformation of your…

A: Let us consider the give function y=Asin(Bx+C)+D where A is positive  The domain of the function is…

Q: Solve the system of differential equations 1' - 1x₁ - 6x2 X2' = 1x₁ + 4x2 x₁(0) = − 6, x₂(0) - = 2…

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Q: 2. Find the characteristic polynomial PÂ(t) of the matrix A given below, where a, μ € C. α 0 1 0 0 0…

A: We will use the basic knowledge of linear algebra and vector spaces to answer both the parts of this…

Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(z,0) =sinx.

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Q: (a) Compute the eigenvalues and an orthonormal eigen-basis for the matrix 3 1 1 A 1 3 1 113 (3 0.2)

A: Since you have posted a multiple question according to guildlines I will solve first (a) question…

Q: Given the stemplot below, which description is TRUE? 219 3 267 4 12 5 0 6 7 5 A. The number 60 is…

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Q: C. Determine whether each linear congruence is solvable. 1. 12x=18 (mod 16) 2. 15y =18 (mod 12)…

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Q: a. x²y" - 3xy' - 2y = 0 b. 25x2y" +25xy' + y = 0

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Q: 9. Determine whether the compound proposition is satisfiable: (-pv-q v r)^(-p V q V-s) A (pv -q V-s)…

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Q: Differential equation Demonstrate the following relationship. e^x = sinhx+coshx

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

Q: 1. Evaluate. Show at least one step for each. [2K each] a) log₂64 log0.001 b) logs(625) 1 d) log()

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Q: Q3: Evaluate the following integrals using Cauchy's residue theorem: where C: |z1/2| = 1. (z²+3z) dz…

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Q: Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2 m(PB) (2) Convert the…

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Q: Note: Attempt only Five questions Q1/ Choose the correct answer 1. Cle(sin 2t+t³)] = + 2. Laplace…

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Q: Create a problem NOT in the videos or modules with a degree measure between 15 degrees and 345…

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Q: s and pipe diameter of 0.3 m. re at point B must be above B ➡7

A: Given, Q = 90 L/s or 0.09 m3/s D = 0.30 m

Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

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Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î +2j-7k…

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Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(z,0)=sinx.

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Q: (b) Using Lagrange multipliers, find the maxima and minima for the function f(x, y, z) = 3x - y - 3z…

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Q: Question 3 (a) Evaluate the following integrals: y=+2 x=+1 (i) TTQ (x + y²x² + y)dxdy y=1 x=0 o=2π…

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Q2) Choose the correct answer 1) The PERT method to solve? a) Game theory b) transportation model 2)…

A: We can solve this using given information

Q: Sketch the graph of the function. [√x if xs-1 X if -1 2 y -4 O -4 -2 -2 41 2 2 -4 -2 2 -4 -2 2 x (

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Q: ZD = 0.73 USD ( kiwifruit in US do

A: Given as, 1 kg = 2.20462 lb 1 NZD = 0.73 USD

Q: Find the angle between A and OB and B (2, 2₁-1) where 0 (0,010) A(0,5,7)

A: The given problem is to find the angle between the given vectors OA and OB where with the given…

Q: Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î + 2j-7k…

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Q: 5. Use the inverse of the matrix [32¹] to solve the system 3x1 x2 = 9 3x1₁+ 2x2=1

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Q: Can We Reason This Way? CCSS CCSS SMP3, 3.NF.3d, 4.NF.2 Claire says that because Discuss whether…

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Q: Find the exact values at which the transition points occur, if any, for the function f. f(x) = x 8…

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Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: The angle of elevation of a hot air balloon, climbing vertically, changes from 25° at 10:00am to 60°…

A: We know, Speed =distance travelledtime taken

Q: ax x²+bx-c 4. Use the graph below to determine the equation of the rational function in the form y =…

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Q: Find a general solution to the differential equation using the method of variation of parameters. y"…

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Q: 6. Find the equation of the line through (-1,3) and is perpendicular to the line 5x - 2y + 3 = 0.

A: Given equation of line  5x-2y+3=0 .....(1) By writing line equation (1) in form of y=mx+c ..(2) We…

Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 a. Solve the system (as…

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) = |x-1| In its domain. a.…

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Q: 1. Let & be the relation of (a,b) la #b] on the set of integers. What is the reflexive closure of R?

A: As per our company guideline we are supposed to answer only one question with its 3 subparts. Here…

Q: The domain of the relation L is the set of all real numbers. For x, y e R, rLy if r < y.

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Q: 1) The PERT method to solve? a) Game theory b) transportation model 2) To find the saddle point in…

A: 1) The PERT method to solve --&gt; (c) network analysis. 2) To find the saddle point in game theory…

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

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Q: Find the volume of the parallelepiped whose edges are represented by A=i-13j+4k, B = 31+2j-7k and…

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Q: QUESTION 22 You roll two dice and record the sum shown. The sample space is the set of all possible…

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Q: . Given the function f(x, y, z) = xw3 y + sin (zw) find fx, fy, and fz.

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Q: 3. Evaluate 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

A: We need to Evaluate triple integration ∫∫∫G6z2dV here we know…

Q: D. Determine the number of incongruent solutions of each linear congruence. 1. 22x = 18 (mod 75)…

A: Given linear congruence is  1. 22x≡18mod 752.   2z≡119mod 983.   9x≡95mod 36

Q: Differential equations Pl

A: Given,            y''-y'+9y=3sin(3t)