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Q: (5) Find the general solution of the following differential equation y″ – 4y' + 4y = (12x²-6x)e²x.

A: The general solution is found.Explanation:Step 1:Step 2:

Q: Find f'(x) and simplify. f(x)= x x+2 Which of the following shows the correct application of the…

A: F′(x)=(x+2)22​Explanation:If you have any questions let me know in comment box thankyou for your…

Q: What is the coefficient of 10 in the expansion of (x + 2) 15 + x4(x+3)16? Submit Randomize Reset

A: The required value of coefficient of x10 for the given expression is 472960488Explanation:

Q: Please show me the solution with steps for the parts! Consider the following bases for R4 B: and 2…

A: Let U={u1,u2,⋯,un} , V={v1,v2,⋯,vn} be two bases of a vector space V.Then the basis change matrix…

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A: Given:  is a prime number.The period  of the decimal expansion of ​ is equal to the order of .To…

Q: u = (+), V = = (44), W = 2 1 (³). For which values r R is the set {u, v, w} linearly independent?

A:

Q: y=t√y (0) Determine if the has erential equation a unique solis

A: Yes, this differential equation has unique solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: y" + 2y²+2=0 Find y(x), then simplify y" + 2y + 2 = 0

A:

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 2 4 3 L -x² - 2x ³ +…

A: We will use bounds of error in approximation using trapezoidal rule and Simpsons rule

Q: If A= 다 3 find values of 2 that made 1A-151=0

A:

Q: 1. Let a, b and c be positive numbers. The set of points (x, y, z) in R³ such that (x/a)²+(y/b)2-…

A:

Q: 4. (a) Show that {(2, 0, 1, 1), (-1,2,3, 1), (1,0,2, -1)} is a linearly independent subset of R¹.…

A: (.)  given subset of space  is,           (.) Linearly independent set: A set of vectors  is said to…

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A: Let ϕ(x)=∫a(x)b(x)f(x,t)dtWhere both a(x),b(x) are differentiable functions.Then the derivative…

Q: b 5. Does the graph bellow have a Hamiltonian path? Hamiltonian circuit? a 4 جوه a h g b с e

A: A Hamiltonian path in a graph is a path that visits every vertex exactly once. It's named after Sir…

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A: Given that Choose  in (3), we obtain, Then, the equation becomes,Choose the function  in  we…

Q: Consider the symmetric matrix 0 3 0 M = 3 0 0 0 0 -1 Find constants C1 and C2 such that the…

A: we need to find first eigen value and eigen vector for the given symmetric matrix:therefore we have

Q: tions. Find the General solution of y" - 2y' + 5y = 4tet with Real valued func-

A: We have to find the general solution of the differential equation.

Q: [2] 1 4 7. 3 30 2 5 -1 1

A:

Q: Question 2.7. Show that the following sequence is : convergent. (ii). a₁ = = 0.1, a2 = 0.12,...,a10…

A: The objective of the question is to prove that the given sequence is convergent. A sequence is said…

Q: Solution z3+z² + 1.5Kz - (K + 0.5) = 0 Let N = ω Or 3 + w+1 @-1 .The characteristic equation…

A:

Q: 3 Let A = [1] -4 -9 2 -2 Find a basis for the column space of A and state the rank of A. -3-6 -6

A: basis of col(A)=⎩⎪⎨⎪⎧​⎣⎢⎡​1−40​⎦⎥⎤​,⎣⎢⎡​3−9−3​⎦⎥⎤​⎭⎪⎬⎪⎫​ rank(A)=2Explanation:,Given the…

Q: 29. Σ (-1)" In(n + 1)

A:

Q: (10) Find the general solution of y" − x²y' + xy = x - if a solution of homogeneous part is y₁(x)

A: i have attached the solution image. please check it.Explanation:

Q: Q5 IPA -32 21 3 B 21 43 1410 ༢༥༢ + 2 and C 32 + Show that OAB-AC © (b + c ) A = B² A + CA

A: Q5 : Given matrices are Here A is of order  .As number of columns of A = number of rows of B ,then…

Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT Solve for tangents and secants Stan 2 tan…

A: Solution is given below Explanation:Step 1: Step 2: Step 3: Step 4:

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A:

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A: Given that a large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt…

Q: A function is defined impilcitly by the equations. 7y2+6x3 Cos(x4y²) - 4 ln(y+5)= 65+ (x³ +7)³ a.…

A: Given: We have to find an expression for  at the point

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A:

Q: Suppose that the Hessian matrix of a certain quadratic form f(x, y) is 6 5 H (a) Find f(x, y) (b)…

A: Bartleby Guidelines :-“Since you have posted a question with multiple sub parts, we will provide the…

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A:

Q: The standard form for an ellipse whose major axis is parallel to the axis is: Where Use…

A: Given that the image of the ellipse is                                 .

Q: X² = 0 0 02-2 X 132 Find the general solution of the system of equation as

A:

Q: Determine if the improper integral is convergent or divergent. GRAPH WITH SOME SOFTWARE If it is…

A:

Q: Sketch the curve given in parametric form by r = ti+ sin tj + cos tk, 0 < t < 2π, and write down an…

A:

Q: Let f(x, y) = sin(x y − x − 3y+3). (i) Determine the domain and range of f. (ii) Factor the argument…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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A:

Q: 3. A greenhouse has a glass dome in the shape of the paraboloid z=8-2x²-2y2 and a flat wooden floor…

A:

Q: Sketch and label a graph of a function f(x) that has the stated properties: f(-2) = 1 and limx→-2…

A: We have to sketch and label a graph of a function f(x) that has the following stated…

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A:

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: The correct option is:21​+31​=2 in Z7​Explanation:

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Q: Q2/Solve only three of the following differential equation: 1- y' = xy 2- xy' y+x3 + 3x3 - 2x 3- 2xy…

A:

Q: Problem Find the Fourier coefficients of the function: (-5 0 ≤t ≤ 1/7 y(t) = 5 <t≤ and y(t +π) =…

A:

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A: Out of 120 people,U=120Number of people who have own car their is :

Q: 16. Find an interval representation for the poset in Figure 6.38 or give a reason why one does not…

A: Not a poset is not an interval order.

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A: Here both p(x)=32xand q(x)=−1+x2x2 aree non analytic at x=0 so 0 is a singular point. But both…

Q: 1. Write precise mathematical definition for the following terms:a) Eulerian pathb) Matchingc)…

A: a) Eulerian path:An Eulerian path in a graph is a trail that visits every edge exactly once.…