Using Lagrange interpolation, find the value of y at x = 8 Given y(0) = 18, y(1) = 42, y(7) = 57 and y(9) = 90

Q: Question 2 Suppose that a is the area of a disc with radius r which is expanding in time t measured…

A: Given: A disk with radius r which is expanding w.r.t time t  with area a. (a) To Express: dadt in…

Q: (4, 4, 5) (1, 1, 1) ܫܘ ܐܢܘܓܢܤܣܐ

A: Given the differential is exact , we need to find the value of integral

Q: C 45 D 33 25 7 18- 14. B 21 E 5 23 A Find the minimum cost spanning tree on the graph above using…

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Q: Solve the given initial-value problem using the Laplace transform: -{- = x(0) = 5. x' + 3x if 0<t<4…

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Q: n = 3. If f(x) = e* - 2, 0≤x≤ 2, find the Riemann sum with 4 correct to six decimal places, taking…

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Q: Consider the planes P₁: 3x+y-2zm 7 and P₂ : x+2y+z=4. Give a parametrization for the line of…

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Q: O Ene ¹' (t) = 1 − sint − | y(7)dr, y(0) = 0 = Joni osdi الا ساتھ dy to ad abhum

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Q: Determine the flux of the vector field F(x, y, z) = (x, y, z) across the portion of the paraboloid z…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating the region bounded by y =…

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Q: 5. Find the transfer function and poles of the system represented in state space form: [010] [03] A…

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Q: 2. If f(x) = x² - 2x, 0≤x≤ 3, evaluate the Riemann sum with n= 6, taking the sample points to be…

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Q: Consider the Pecewsie continuous function { f(x) = = -2 < x < -1, −1≤ x < 0, 0 < x < 2. Without…

A: Fourier series convergence

Q: Use Stokes' theorem to change ∫∫S∇×F⋅NdS to an equivalent surface integral and evaluate it, where…

A: Given:  F=xi+y2j+xyzk Paraboloid z=4-x2-y2 To find: ∬S∇×F·N dS.

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C…

A: We can find the integral by using Green's Theorem.

Q: Current Attempt in Progress If f (x) x² and g(x) = (x + 2) (x - 1)(x − 3), find all x for which f(x)…

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Q: Problem II Consider a linear transformation L₁ R4 → R³ given below and a linear operator L₂ R³ R³…

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Q: Consider the following linear programming problem: Max Z=12 x₁ + 15 x2 s.t. 20 x₁ + 10 x₂ ≤ 60 X₁ +…

A: Here corner points are , (0,0), (0,3),(3,0),(2,2) At (2,2) we have optimal solution.

Q: 5. Solve 2y" - 3y' - 2y = 0; y(0) = 1, y'(0) = -1.

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Q: 08(3-j2) 7245

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Q: If the sequence a1, 92, 93, an 2 az-az +az-a +...+ a²n-1-a²n ... ... is an A.P., then prove that n…

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = ett, y = 4et/2, y…

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Q: Question 37 Using Green's Theorem, compute the counterclockwise circulation of F around the closed…

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Q: Use the Linearization Theorem to classify the equilibrium point y = 0

A: To Linearization  dydt=ycos(4πey) and classify the equilibrium point y = 0.

Q: 8. y + 4y = 41²-4r + 10; y(0) = 0, y'(0) = 3

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Q: Complete the definition of a metric space by filling in the three blonks: A metric space is a pair…

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Q: In the United States you can commonly purchase cans of Coca-Cola with a volume of 7.5 fluid ounces…

A: Given  In US , volume of coca cola = 7.5 fl.oz  Which is equivalent to 222 ml ,  We need to find…

Q: Use Right-endpoint Rule with n = 5 to approximate x√x + 2d x√x+2dx to 4 decimal places.

A: To Evaluate: the integral ∫12xx+2dx using right-end point rule with n=5.

Q: A company is in the process of designing a new product. The product is shaped like a right circular…

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Q: Use the Divergence Theorem to calculate the flux of the vector fields F₁ = −4zi + 4xk and F₂ = −4zi…

A: Given That : Vector Fields are F1→=-4zi^+4xk^ and F2→=-4zi^+1-4yj^+4xk^  To Find : Using the…

Q: The folloiwng illustration is drawn scale. X = y= 80 ft 53 ft A = X 133 ft y Find the Missing…

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Q: Q12D. Assess whether the statement is true or false: The graph shown is not a tree.

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Q: 4. Solve dy d.x. 3y² - x² XU . Note: your solution may be left in implicit form.

A: Use variable separation method after y substitution to solve.

Q: 3. |If x1 = [1,2,3,4]'; and x2 = [2,2,2,2]'; then what is y = x1¹*x2?

A: The given vectors are, x1=1,2,3,4' , and x2=2,2,2,2'. To Find: y=x1'*x2.

Q: Calculate the circulation, SF. dr, in two ways, directly and using Stokes' Theorem. The vector field…

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Q: Problem 4. Given a scalar a, the exponential e" can be expanded by Taylor series as: 1 1 1 2 3 4 e =…

A: The given problem is to find the matrix eA for the given matrix A by checking the diagonalization of…

Q: rove that let p be a prime and f(x) = ao + a₁ + a₂x² + ... e such that an #0 (p), then the…

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Q: Question 9 Find the potential function f for the field F. Here you can assume that the vector field…

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Q: Question 4 Evaluate. The differential is exact. (2,2,2) (1, 1, 1) 5 8 1 000 228 ¥3,3 - 3z8 dy+ x²4…

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Q: Find the characteristic equation of the given matrix. [8-15 2] 031-1 0 0-6-6 0 0 0-5] A =…

A: The given matrix is A=8-1    5   20   3   1-10   0-6-60   0   0-5 We have to find the characteristic…

Q: Use the divergence theorem to evaluate the surface integral ∫∫SF⋅NdS where F=yzj, S is the cylinder…

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Q: Find C1 and C₂ so that y = c₁eª +c₂e¯ª is a solution of the IVP y"−y=0,_y(1)= 0, y′(1) = e

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Q: For each of the following functions diR² AR²" wether I is a metric. Briefly explain [0,00) say…

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Q: Solve the first-order linear ODE t(t + 1)x' + tx = 6.

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Q: 8 5. Find the radius of convergence, R, for the series (-1) ² x xn n! n=0

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Q: Let f. ROR be a Continuous function with f(x) ≤ 10 for = all XER. Explain why f is not homeomorphism

A: A homeomorphism is a continuous bijection with continuous inverse.

Q: 6. Write a function for the problem. Use the function notation. Use the variables provided by each…

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Q: Problem III Let A denote the matrix given below. (i) Find all eigenvalues of the matrix A. (ii) For…

A: This question from linear algebra.

Q: Find the value of T sin (77 14 sin 3π 14 sin 5T 14

A: We have to solve given Questions.

Q: Determine the coordinates of the centroid of the shaded area 1 L xwky² Answers: (8,3)=( 162 1.35 b…

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Q: 2. Let f be a function defined for all real numbers x -uch that f'(x) < 0 and f"(x) < 0. The table…

A: here we will use relation between a function f(x) and its derivatives to find possible value of W