Prove the Superposdhon frinciple: ef v, and homogenesuš pecond order linear differetial oguatiori ypGy'tqcAy=0 thes very are' slutions to' the lirear comoination

Q: dy * - x Iny; yc1)= |

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Q: )8 درجة( 1(ليكن لدينا المصفوفات التالية: 1 5 2] -1 0 1 2 4] 01 A =|-1 2 3 D = ; - [1 4 21 •B = [3 l3...

A: Multipart :   We have ,  A = 30-1211 , B = 142315 , C = 152-101324 , D = 3-10-2 (a) We need to find ...

Q: Зх — 8 If 3 = 0, then x = ? 3 3 Зх— 8 | 3 Зх — 81 3.

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Q: 2 Find rakk (A) and a besis for column spece S(A), row space SrlA), ahd null space NA) A : 2 -13 3 -...

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Q: The functions f and g are continuous and differentiable with f(x) = g'(x). Selected values of the fu...

A: To approximate the average value of g(x) over the interval [3,11]

Q: Question 2 If F 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = –1. Calculate: a) F×G a...

A: F = 2ui - ( - u³ + 4)j - u²k  G = t²i - 3tj + tk u =1, t = -1

Q: Find the solution of the equation +. cos y which tends to zero as x → 0o and has the value cos y whe...

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). %3D %3D = (0, 6) V = a b...

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Q: AIB = A BC 4= 12,3,4, 5,6,7, 8,9 A = : { 2,3,4,5 B = { 2, 7,8,9 c ={3博, 3 ) 9子

A: Given sets are  U=2,3,4,5,6,7,8,9A=2,3,4,5B=3,4,8,9

Q: In Exercises 22-32, use the limit comparison test to deter- mine whether the series converges or div...

A: Note: We are allowed to solve one question at a time kindly upload second question as another questi...

Q: Find the volume of the solid which lies above the region x2 + y? < 1 and below the paraboloid z = = ...

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Q: In a survey of 3029 adults, 1480 say they have started paying bills online in the last year. Constru...

A: We have

Q: d’y dy dx + 2r? dx? x- + y = 12x2. dx y = c¡x¯' + C2x + Czx In x + 4.x²

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Q: B. 5. AC = 10

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Q: Let P(x) be the statement "x spends more than five hours every weekday in class" where the domain fo...

A: Note: We are entitled to solve only one question at a time. As the question number is not mentioned....

Q: The equatich AX =0 has the Solution if and aly if variable. nontrivia I A has à free

A: To find whether the given statement is true of false. Given Statement is  The equation AX=0 has the ...

Q: Use the table to find the probabilities that a person's total charges during the period are the foll...

A: Solution:-

Q: 18. Let xo < x, < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such th...

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Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

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Q: Question 9 ( Suppose that G is a graph with n vertices such that every vertex has degree 4. If graph...

A: Solution:-Option 3rd is correct O(n)

Q: Determine the limit: lim (-2)^4-n n+ 00 А. 2 C. doesn't exist D. B.

A: We will find the given limit: limn→∞-2n4-n We shall use the formula of limits to evaluate it.

Q: Given the following vectors u' and v, find a vector w in R so that {u, v, w} is linearly independent...

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Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: 6. A solid occupies the region above the cone z = Vx² + y² and inside the sphere x² + y? + z² = 4 fo...

A: Introduction: Triple integral is used to find the volume of a solid bounded by curves. There are man...

Q: 1 Sketch the following four vectors: Let A = -2 -3 2 -2 • Aui • Auz Based on your sketch, which vect...

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Q: 3. у %3D С1 е2х sin3x cos3x + c2 e²x

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Q: suppose a sphere of radius 9 is sliced by two horizontal planes such that the resulting three solids...

A: We will use formula for surface area of sphere with radius R =4πR2 Surface area of cap of a sphere w...

Q: Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive...

A: Solution

Q: Sketch a graph of the function. if a 1 Given the piecewise definition f(x) = Draw the graph of f. 8...

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Q: 4. A function y(t) satisfies the IVP 2y' – 3y = e' +2, y(0) transform to calculate L{y} =Y(s). = 4. ...

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Q: 2. Now consider the series r r8(4n)!(1103 + 26390n) 9801 - 3964n (n!)ª This series was discovered by...

A: SOLUTION  

Q: 4. Find all the distinct values of (1 – i)5/4, then plot the results on an Argand diagram. |

A: Find the values of 1-i54 and plot the points on an Argand diagram. Find the polar form of the comple...

Q: Suppose that G is a graph withn vertices such that every vertex has degree 4. If graph is represente...

A: Third option is correct one.

Q: Find the area of the region that lies inside the first curve and outside the second curve: T=4 cos 0...

A: We have to find the area of the given between two circles.

Q: a solid is obtained by rotating the region bounded by the curves y = x-1/2 1 and y = 1 about the y-a...

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Q: Write out the sample space and assume each outcome is equally likely. Then give the probability of t...

A: Here we have to find probablity of the asking event.

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

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Q: Find the general solution for the differential equation y′′ −8y′ + 25y = 104 sin(3t)

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Q: 1 3 -4 2 0 0 0 0 0 0 0 0 -1 6. 1 -3 7 1 4 -3 0 0

A: Remark:  We know that the maximum number of linearly independent vectors in a matrix is equal to the...

Q: Prove that each of the following subsets H of M2(R) is a subgroup of the group G of all invertible m...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Locate the highest real root of f(x) = 2x3 – 11.7x² + 17.7x – 5 a.) using fixed point iteration meth...

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Q: Evaluate * sin-lr xp= V1- x

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Q: Let F I2). Evaluate JJaw as z² + y? 0

A: In the given question, the concept of the Divergence Theorem is applied. Divergence Theorem Assume S...

Q: The circle graph shows how a company's annual budget of $11,000,000 is divided by department. First ...

A: The budget for media is 31%  i.e. 11000000×31100 Dollars = 3410000 Dollars And the budget for suppor...

Q: System of Lincar Eauation Slope Intercopt form Slope (m) Y- Intercept c6) 2x +y = 5 y= -2x +3 2 + y ...

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Q: 3x Find the sum of the Fourier series of the function Ax) = e* -1<x 1 at x = -1 OA g3 O B. -3 OC 3-3...

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Q: Suppose that the world's current oil reserves is R 1900 billion barrels. If, on average, the total r...

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Q: Prove the following: (a) P(7) is the identity matrix if and only if 1 = id¡n]- (b) P(T πι) Ρ(π>) P (...

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Q: 7. Prove the following using induction. k3 = 13 + 23 + 33 + ...+ n3 = (1 + 2 + 3 + ...+ n)² k=1 n(n+...

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Q: PROBLEM 4.Use the Laplace Transform to solve the given differential equation Solve y"+4y=e-t ,y(0) =...

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