Questions use variation of parameters to solve the DE Cleave U and U₂) (₁) xy + y = x

Q: The distance x, measured in metres, of a downhill skier from a fixed point is measured at intervals…

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Q: 3.x+y+z=4 - x=y+z=-2 2x -y + 2z=2

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Q: 2.1 Given the complex number z=3-j. 2.1.1 Show z on an Argand diagram. 2.1.2 Rewrite z in polar…

A: As per guidelines we are supposed to solve the maximum first question at a time. kindly post another…

Q: In relation to the equation, why is it 2pi6t? Shouldn't it be 360/6 which is 60 since we want it to…

A: Given: The pedals of a bicycle are mounted on a bracket whose center is 27.5 cm above the ground.…

Q: Exercise 9 . Prove or disprove: the chromatic number of a graph is equal to the number of distinct…

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Q: 5. A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

A: Truth table for if and only if

Q: Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1, -1)}. i. Is (9,0,9) in W? Justify your answer.…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 J = exp(-x²)dx 0 Note that this…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

Q: Question 6 Obtain the power series solution of the differential equation y" (1+x)y=0 about the…

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Q: FIND Y(S) OF THE GIVEN EQUATION. y" + 4y = cos(t-3) +4t, y(3)=0 y' (3)=7

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Q: Question 4 Find the equation of the tangent line to the curve Y = (2-6³²) cos(₂x) at x=0

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Q: Q3) Solve the following boundary value problem using finite difference method d²y dy given that 3- +…

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Q: Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized…

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Q: Which of the following is a subgroup of (R+, *) where a*b = (ab)/2? A. (Q, *) B. (Z, *) C. (Q+, *)…

A: Suppose that G is a group, and H is a subset of G. Then H is a subgroup of G if and only if H is…

Q: 3. Prove that if G is an open set dense in the metric space (S, d) then SG is nowhere dense in S.

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Q: 2. Apply the compound angle formulas to solve the following: a) tan 750 (in degrees) b) cos (+)

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Q: Use local linear approximation to estimate In (0.99

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Q: 4.x₁-x₂2x3=3 - x₁ + 2x₂ + 3x₂=1 X 2x₁2x₂2x₂=-2 3

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Q: 2 cos²xsinx V2+cosx S- dx

A: It is known that ddxsinx=cosx. It is known that: ∫xndx=xn+1n+1+C.

Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: What is the center of gravity of the solid formed when the plane region bounded by y = x, y = 2x,…

A: Let us start solving the problem step by step

Q: 2. log 2 + M + log 512 +...... is a series. a. If M = log 8, convert the series into geometric…

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Q: 13 2 1 Given A = 2 13 3, find wwww 4 2 1] the lower triangular matrix. [3 0 0 a. 2-1/3 0 C. [4 −2/3…

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Q: To find how much heat is required to bring a kettle of water to its boiling point, you are asked to…

A: Let x0,y0, x1,y1, ..., xn,yn be the given points. Use the following formulae, to obtain the…

Q: xy"+y² = 0 (1) Given that y₁= Inx solve equation, use reduction of Order to obtain Solution 12 (ii)…

A: First we will obtain the other solution y2 using reduction of order then by using Wronskian will…

Q: Use trapezoidal rule to approximate the integral f√3+2x³dx; n = 6 O 11.50676706 O 11.20676706 O…

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Q: Use a backward difference to approximate the derivative of f (x) = cosh x at x = 2 using h = 0.01…

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Q: Sixteen people on a baseball team show up for a game. A.) How many ways are there to choose 10…

A: First we will know that , what is Combination and Permutation. A Combination is Selection of items…

Q: 3 1. Use local linear approximation to estimate √(3. 95)

A: To find : by using  linear approximation find value of 3.953=3.953.95let x=3.95then we can write a…

Q: 38. Which of the following nodes should be the root of Tree A so that nodes B and I will be of the…

A: 38

Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + t²)/+ y =…

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Q: ] Using a suitable linearization to approximate √101, show that (i) The approximate value is 10.05.…

A: Let us solve the given problem in the next steps.

Q: Question 5 Use variation of parameters to solve the differential equation x²y" + y = x. [Leave ₁ and…

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Q: Give an example of the inner product in M3x3. Determine the length of the identity matrix Learning…

A: Inner product of the matrix

Q: Sugar dissolves in water at a rate proportional to the amount still undissolved. If there were 70 kg…

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Q: Obtain the power series solution of the differential equation y"-(1+r)y=0

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Q: 14. Consider the group (A, *) where * is defined by the table below A B C D ABA D с BA B C D C D C A…

A: Let us solve the  Group problem related to composition table in the next step.

Q: Evaluate J by means of Simpson's rule with n = 2m=10 and h = 0.10 = [*exp(-x²) dx Answer in 4…

A: f(x)=exp(-x2)h=b-an=1-010=0.10 table for x and y values x 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1…

Q: prove using proof of contradiction. include your explanation in writing your solution    If n is…

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Q: 220. Suppose f(x, y) = x + y, u = ex sin y, x = 1², and y = лt, where x = r cos and y = r sin 0.…

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Q: Use the definition of set operations to prove that for any set A, A- A = Ø . A + A = Ø

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Q: Use separation of variables to find a product solution to the following: 0² k k>0 dx² DI -10

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Q: -. Prove (A ʼn B) U (Ã – B) = B, using truth table

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Q: What is the volume in cubic units of the solid formed when the region bounded by (x-1)^2 = 20-4y, y…

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Q: 6. A binary operation a*b = |a - b| defined on Real Numbers (R) is A. just a groupoid B. a semigroup…

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Q: Back Substitution Solve the following system by back substitution 1. x₁ - 2x₂ + x3 = -1 1 x₂-3x3=5…

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

A: Here we use basic shell method.

Q: 28-29: David deposited P2 500 for 2 years at 10% compounded annually and earned a compound interest…

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…

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Q: Determine the truth value of the following statement. True or false the truth of the statement…

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