Q3/ The following table gives the viscosity of oil as a function of temperature. Use Newton's Divided Difference Formula's to find the viscosity of oil at a temperature of 130 °C. Temp °C: 110 120 135 140 Viscosity: 10.8 8.1 5.5 4.4

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Q: An investor has $661,000 to invest in bonds. Bond A yields an average of 4% and the bond B yields…

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Q: y' 2y + 2y = e y(0) = 0, y'(0) = 1, 2) Consider the function f: [-1. 1]> R defined by f() 1) Show…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

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Q: 2. Find the divided differences of f(x) = x³ + x + 2 for the argument 1, 3, 6, 11.

A: To Find: The divided differences of f(x)=x3+x+2 for the argument 1, 3, 6, 11

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Q: 3. List all of the permutations of S4. Find each of the following sets: a) {0 € S4:0 (1) = 3} b) {0…

A: From the above details we have,

Q: q2-  91.2% of 1980 is: Select one: 18057.6 180576 180.576 1805.76 18.0576

A: We are asking to find 91.2% 0f 1980

Q: 2. Let A (1,-1,0) and B = (2,1,-2). (a) Solve for projgA. (b) Find the angle between projgA and A.

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Q: Suppose that f(x, y) = x² − xy + y² - 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: Without actually solving the given differential equation, find the minimum radius of convergence R…

A: I have given the answer in the next step. Hope you understand that

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A: Solution: Given output f(n) = 1, 4, 16, 64. The output sequence is of the form of geometric sequence…

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Q: Find the Laplace of the f(t)in the figure f(1) ► 5 2 t a. b. 0 1 5 (1-2e-s+e-²s) (1-es + e-25) e.…

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Q: b. Minimize Subject to: Z = 2x1 + 3x2 4x1 + 2x2 2 20 } E 2x1 + 6x2 2 18 F 1x1 + 2x2 ≤ 12 X1, X2 20…

A: The given linear programming problem is                       Min Z=2x1+3x2 Subject to…

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A: The given function is fx=7 lnx To find: the Taylor series expansion about x=1.

Q: (a) (b) 1 / (1+1 (1 + tan²0)² de S² 1 x²√x²-9 dx

A: Here we can use substution for solving the questions.

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A: *This problem belongs to Analytical Dynamics,so we can solve it in Advanced Math*

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A: find the term representing the fifth harmonic for the periodic function of period 2π given by…

Q: -:find sup (A) and inf (A) when A= (y = 2x + 1, x € N, -10 < x < 10}

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Q: 10. Calculate the area of the parallelogram formed by the vectors a =(3, 2,-2) and b = (2,-1,2).

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Q: f(n) ic recursive formula tic explicit formula ric explicit formula

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Q: Can

A: We use eigenvectors to find required matrix and properties of Diagonal matrix.

Q: Find the flow of the field F = V(x²ze) once around the ellipse C in which the plane x + y + z = 1…

A: Consider the given field, F=∇x2zey around the ellipse in which the plane x+y+z=1intersects the…

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Q: Let A = O O 5 31 5 0-31 36 Find a unitary matrix U and a diagonal matix D H U₁AU = D.

A: Unitary matrix: U#U=UU#=I

Q: 1. ** (Definition 3.1.17) The floor function, denoted [x] is defined [x]: R Z by returning the…

A: Given- The floor function, denoted x is defined x : ℝ → ℤ by returning the greatest integer less…

Q: Suppose that a population of bacteria grows at a rate after t days is given by p^'(t)= 1000/sqrt t…

A: We have to find the population function p(t) at time t.

Q: For this process we'll use the function f(x) = x² - 2.

A: Given Equation: f(x)=x2-2 To calculate: Newton's method of finding x1 and x2

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Q: 6. Find the general solution of the following differential equation using variation of parameters.…

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Q: The sample mean for the fill weighs of 100 boxes is x = 12.05. The population variance of the fill…

A: Solution

Q: Given matrix B = 0 -4 11 5 14 -13 -4. What is the element B₁3 in the Adjoint Matrix [B]¹? 6

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Q: Question 2 Determine whether the following series are convergent or divergent and state clearly the…

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

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Q: e en

A: Introduction: Exponential growth may be an information pattern that illustrates a rise over time by…

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Q: which of the following is a binary operation if a and b are in S

A: To find:  Which of the given is a binary operation if a and b are in S

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Q: Let x E 10, 1[. Prove the following identity: ["in (1²-1)dt = n(n+1) m a xn+1 1

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Q: An investor has a fund of Rs. 500,000 is considering investing in two securities 'Hexa' and 'Deca'.…

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Q: 2. A force vector has a magnitude of 14 N and makes an angle of 20° with the x-axis. What is the…

A: Given that (Magnitude of force vector) F→=14 N  (Angle) θ=20°

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Q: Suppose the following region is spinning rapidly around the x-axis. y = -1/² x + ²/ y 3 y=x 2 3 X -1…

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Q: Given matrix A 1 -1 -3 4 -2 3 2 2 3 3257 ܢܬ ܪܬ ܚ -1 - -1 0 -1 2 Solve for [A].

A: Given matrix A=1-23-1-1220-325-143-12 Then…

Q: Solve the following linear system by Gaussian elimination. X1 = X2 = i X3= i MI i x₁ + x2+2x3 = 7…

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