1 Question: (1+x²) dx Obtain the numerical solution of the integral with n=5 by dividing the x-axis into five equal parts using (a) trapezoidal method and (b) multi- point Simpson's methods.

Q: Q1. Use the Gauss-Seidel iteration method to approximate the solution to the system of equations…

A: The Gauss Seidel method is an iterative technique to find the approximate solution of the system of…

Q: Obtain Newton's interpolation polynomial in divided differences considering the data (1,2), (3,3),…

A: We have: x x0=1 x1=3 x2=4 x3=8 y y0=2 y1=3 y2=2 y3=10 We first make the divided difference…

Q: Consider the following function. f(x) = x +41-8 (a).Find.the.critical.numbers.of.…

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Q: We originally had a circular pie. We ate some of it, but a portion is still left. The leftover pie…

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Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: Let V=R2 and let H be the subset of V of all points on the line 3x - 2y=-6. Is H a subspace of the…

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Q: Find the volume V of the described solid S. The solid S is bounded by circles that are perpendicular…

A: The given problem is to find the volume of the given solid bounded by given parabola and x-axis.…

Q: Write out the first five terms of an = 4an-1 + 4an-2 a₁ = 4 and a2 = 21 then solve the recurrence…

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Q: Slope values for the degradation of ascorbic acid in orange carrot juice concentrates stored at…

A: It can be observe from the table degradation of ascorbic acid is a first order reaction. the…

Q: Define f : X → K by f(x) = x'(1), x € X. Again, the linear functional f is not continuous. By 6.4,…

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Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 5. Solve these differential equations by using the variation of parameters method. 4+36y=csc 3x (b)…

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Q: Find the area of the region bounded by the curves y = sin(x), y + 1 = r², 3x = -2y on the interval…

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Q: (2η)! (n!)². 2n 8. Σ(-1)n-1. n=1

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Q: 2. Use the derivative test to determine if the following sequences are monotonic increasing,…

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Q: ∞ 1 12. Σ(-1)". nvlnn n=3

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Q: 3 Consider a linear transformation To R₂ [x] → R² whose matrix relative to the bases B = {x ²₁ x, 1}…

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Q: a) Draw the corresponding Venn Diagram. b) Find the following: 1)n(A) 5) n[(AB) C] 6) n[(A' B') C]…

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Q: Use Green's theorem to evaluate where C is shown below [ (6y - 9x) dy - (xy - x³) da (1,2)

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Q: You are trying to create a budget to optimize the use of a portion of your disposable income. You…

A: Let the amount spent on food, shelter and entertainment are x, y, z (in dollars) respectively.…

Q: TTT 2T 1 To S. 0 [th Live 21 T 2T The integral dz dr de rdz dr de 1-72 ["de 2T L²L™^C 0 dz dr de dz…

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Q: Passing through the points (0; 1), (1; 1), (2; 2), (4; 5); a) What is the maximum degree of the…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: d a value of r> 0 such that h(z) = z² +22³ + z + 1 has all its zeroes in D,(0).

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Q: Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit. Write…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If…

Q: A power plant generates electricity over a twenty-four hour period. The number of megawatts, M, of…

A: Introduction: The sine or cosine function are usually referred to as sinusoidal function. A…

Q: Find the general solution of the given higher-order differential equation. y(4) - 2y" + y = 0 y(x) =

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Q: For the system of linear equations -3x + 5y = 4 ny + 12x = -16 a) []: Find the values of n such that…

A: We have to solve given Questions.

Q: Let A = -4 -12 4 12 Let B = 1 3 -5 -15 Find k such that KerA is a subspace of Rk 1 Find k such that…

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Q: Let an 6n 2n + 1 (a) Determine whether {a} is convergent. O convergent divergent = (b) Determine…

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Q: to itself. Show all your work to recei

A: given as,

Q: Set-up the integral that would find the volume of the solid of revolution when given region bounded…

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Q: Problem #12 Part A) Prove that C = { 1 + x + x²₁ 1+ 2x, is a basis for 1R₂ [x] Part B) Consider…

A: Vector space and it's basis

Q: Let X and Y be normed linear spaces and F : X → Y be linear. Prove that F is continuous if and only…

A: Let X and Y be matric space and let f: x→y be a uniformly continuous function. If ( xn)n∈N is a…

Q: 1. Find the inverse Laplace transform y(t)=L−¹[Y(s)] where (b) Y(s)-e-³s (25-3) $²-49

A: We will be using the formulas of inverse Laplace L-1{a·fs+b·gs}=a·L-1{fs}+b·L-1{gs} L-1{1s-a}=eat…

Q: Jo makes $30,000 this year, after a 20% raise. Find old salary.

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Q: The total sales of the fertilizer plant are R = -2Q3 +12Q2 + 72Q, R = total sales (in billions), Q =…

A: It is provided that R=-2Q3+12Q2+72Q, where R is the sales corresponding to the quantity Q. We need…

Q: The number N of trees of a given species per acre is approximated by the model N = 2000 (10-0.12x),…

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Q: 3x + 48x = 5 cos(4t) 3x'' +53x = 5 cos(4t)

A: The given differential equation is   3x''+48x=5 cos4t.....(1) To solve: the given differential…

Q: The limit of f(x, y) as y → 0 along the path a x=y is 1. The limit of f(x, y) as y → 0 along the…

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Q: Class Exercise Determine whether divergent. If the a) find the form of convergent, (5) M (Ch. 10.2)…

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Q: Find z = f(x, y) and use the total differential to approximate the quantity. (2.04)2(1 + 8.8)3 −…

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Q: use bisection method not quadratic formula

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Q: Q3 – A// If P(1,2,-1),Q(2,-1,1), R(-1,-1,2) are three point in space. 1- Find the vector…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If…

Q: Simplify the following with out cesing + cеsingtue deного inator 5 3+i

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Q: Find the polynomial of degree three for the following data. Also find P(-2). X 0 y 1 4 6 1 -1 1 -1

A: This is a problem of Numerical Analysis.

Q: The table provides various values, including all zeros, of a tangent function f(x) on the interval…

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Q: A company is considering a new manufacturing process. It knows that the rate of savings (in dollars…

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Q: consider the map given by F(x)=1-x² discuss the charactristics of the orbits starting at x=0

A: As per the question we are given the following map : F(x) = 1 - x2 And we have to explain the…

Q: Answer the following questions for the function defined on the interval [-5, 7]. f(x)=x√x²+1

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