Q.5: For the given data; x f(x) 1 3 2 6 3 19 5 99 7 291 8 444 Calculate f(4) and f (2.5) using third Lagrange interpolating polynomial.

Q: (give) examples of L^p space

A: To give an example of Lp space.

Q: Solve using Gauss-Jordan elimination. = 14 = 12 2x13x25x3 x₁ - 4x₂ Write the system of equations as…

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Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form.…

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Q: OLA: Sate the following system by (method of inverse ) 2x1 + 3x2 = 5 x1 - 2x2 = -1

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Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

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Q: The first five rectangular numbers are shown: .. ... 2 3 a. Make a sketch to represent the eleventh…

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Q: 8) Let a 3-2 +45 for n-0, 1, 2, 3, ... If we write an as a recursive relation, it is Hint: calculate…

A: Please see the attachment

Q: Kaitlyn, a fifth-grader, asked five of her friends in class which book is their favorite. All of…

A: Here the sample is five friends of Kaitlyn and the population is all the children of Kaitlyn's…

Q: Q.5 Consider the Sturm-Liouville problem d x=(xy -(xy')+(2-1)y=0, y'(1) = 0, y'(e²) = 0 a) Find the…

A: We have to find the eigenvalues and eigenfunctions of the given Sturm-Liouville problem.

Q: 8) Let a = 3-2 +45 for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: Use the Midpoint Rule with n approximate the integral. 10 [." √x + 2dx = = 3 to

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Q: The Riemann sum approximates the net decrease in the volume of the balloon from t = 1 minute to t =…

A: The given table is  To find: the right options.

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

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Q: M. -5z + 11 2² - 10z + 21 Iz 61 2 dz Use any of the results in this $ (a) -12ni (b) |z| = 9 33 Book…

A: We have to solve the given problem.

Q: Complete the given statements, where X is any subset of the universe U 1. X∪U = 2. X∩U = 3. X∪∅ =

A: Since you have posted multipart question and we can answer three subparts. So, answering the first…

Q: Question Which of the following is a potential function f for F(x, y, z) = (2x cos(yz). -x²z sin(yz)…

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Q: b) Solve the following system of differential equations: [2 »-8 where A = 0 0 dy(t) dt = Ay(t) with…

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Q: y" - 2my' + m² memx m

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Q: Solve it

A: Let us consider the PDE P(x,y,u)ux+Q(x,y,u)uy=R(x,y,u) Then the auxiliary equation is obtained as…

Q: (2) In the following a set V, a field F, which is either R or C (Complex Numbers), and the…

A: We know that ℝ is a vector space and ℝ2 is a vector space represented by a, b : a, b∈ℝ. A vector…

Q: The area in the first quadrant, bounded by the curve y = 2x1/2, the y-axis and the line y – 6 = 0 is…

A: The centroid of volume of solid revolution about the line y=k is obtained by the following formula.…

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices ±1, tj clockwise.

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Q: 1 1 5 0 2 1 EEPEN -1 -2 0 3 -1 -1 7 2 -4 1 - -

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for f(x, y) = e ²-y² cos(xy)…

A: Given: The function, fx,y=e-x2-y2cosxy.   To determine: The first and second degree Taylor…

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form. x²y" +…

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Q: Solve the equation (D^3-6D^2+21D-26)y=0 O y = (c₁ + c₂x)e²x + c3e³x O y = c₁e²x + e²x(c₂cos3x +…

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Q: Solve the linear programming problem using the simplex method. Maximize subject to ⒸA. The maximum…

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Q: Need to solve this differential ecuation y''- 4y' +4y = xe^2x

A: We have given a differential equation ,  y'' - 4y' + 4y = xe2x First we will find complimentary…

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Let C be the curve y = 12 11 10 9 8 7 5 w 15 2 4 1 + for 0.6 x 3.7. 3x 2,5 Find the arc length of C…

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Q: 1. The following system has one root in the first quadrant. Perform one iteration to calculate the…

A: The Multivariate Newton Raphson method uses the formula: xn+1yn+1=xnyn-∂f1∂x∂f1∂y∂f2∂x∂f2∂y-1×fxnyn…

Q: Solve the equation. dx dt 2x1² BILD An implicit solution in the form F(t, x) = C is =C, where C is…

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Q: Given a periodic function # S(x)=√Q, TT, Q=0 Q=x² π, T -A < X <-- 2 T 2 <x< f(x+2π) The following…

A: Explanation of the answer is as follows

Q: if I invest 1000 at 2% interest how long will it take to double my money

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Q: If f(x) = -2[cos (2x)] +5[sin(3x)] is a neither function. Determine value for a and B. a=3 and B=2…

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Q: 17. Driving Time You need to buy groceries at the supermarket, deposit a check at the credit union,…

A: To find- You need to buy groceries at the supermarket, deposit a check at the credit union, and…

Q: (a) Evaluate the integral: k = Your answer should be in the form kn, where k is an integer. What is…

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Q: (c) Find the inverse Laplace transform of the following function by using convolution theorem. 2s…

A: Solution

Q: Prove that every Rieman integrale is Lebesque integral but the coinver not heed'

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Q: Consider the double integral f(x,y)=(x²+y2) 3/2 over the region R where y is bounded between 0 and…

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Q: Problem B. Consider the linear transformation T: R₂[x] → R₂[x] given by T(a+bx+cx²) = (a - b-2c)+(b…

A: From the above details we get,

Q: Why we use separation of variable method?why it is not applicable for ode?

A: To Explain: Why we use the separation variables method, and why it is not applicable for ODE's. As…

Q: An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $30 TOP…

A: Let there are x1 sets of Brand A , x2 sets of brand B and x3 sets of brand C The objective is to…

Q: 5. Two fair coins are tossed 225 times simultaneously and their outcomes were recorde as: Reduce…

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Q: 2+3=8, 3+7=27, 4+5=32, 5+8=60, 6+7=72, 7+8=??

A: Explanation of the answer is as follows

Q: (a) Give the centre c and the radius r of S = B(0,5) B(3, 4). (b) Which of the following are neither…

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Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

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Q: Q3: Test convergence for the following series : 1- Eno)(x + 5)" n+1 2- 2n-one 3-

A: Note : As per our Guidelines we can solve first question. please repost remaining questions.