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Q: 6. Evaluate the limit. 1 (7/727 n² (a) lim n² sin n18 sin (0)

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A: Here for the given transformation we have to find the matrix A of T.

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A: Given that  Comparing equation(1) with  the  equation   to obtain, Now, observe that :…

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Q: 11) Let f: IR4 → IR³ be defined by : IV f(x₁y₁z₁t) = (2x+y-t, x+8y-92- 2t, x-2y + 3z) (a) show that…

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A: The surface integral of over a surface S: , is given by

Q: Use the Maclaurin series for sin(x) to compute 6 sin(2°) correct to five decimal places. 6 sin(2°)=

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Q: Y=0 Y=2 Y=4 Y=6 Y=8 X=0 100 85 70 55 40 X=2 90 64.49 48.9 38.78 35 X=4 80 53.5 38.43 30.39 30 X=6 70…

A: For , the temperature corresponding to y values are YT070248.15435.03627.07825Let the least squares…

Q: how do you write (14)(27)(523)(34)(1472) as a product of disjoint cycles

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A: This is the method to solve the exact differential equation. I attach that method and solve it again…

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A: The region bounded by the curve To find the area between the two curves.Here, we use the area as a…

Q: ㅋ. for neN. Does (xn) have a convergent sub. (gn) have a convergent subsequence? If you are unable…

A: Statement : Every bounded sequence of real numbers has a convergent subsequence.

Q: Recall a if F = Vf vector field for Somo Show F= <2xy, x²) find f(x. 5) such that is Fis…

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Q: (d) Find the net change in position and the total distance traveled in the time interval 0 ≤ t ≤ 6.…

A: Suppose a particle is traveling on a one-dimensional track with a velocity feet per second for .We…

Q: Problem 8 Compute the determinant of the matrix A = writing it as a triangular matrix using…

A: Given matrix: We have to compute the determinant of the matrix  by writing it as a triangular matrix…

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A: Given Venn diagram isHereThe set A contains the car made by ToyotaThe set B contains the car that…

Q: Given the information in the following 4 weeks at Carya Cordiformis Plant, prepare a master schedule…

A: Find the Given details below:

Q: Q Recall a lif Show find F = Vf vector field for Somo F = <2xy, x²) is f(x. 5) such that F is…

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Q: It's spaghetti night at Stacy's house. She has 1/2 of a cup of grated cheese to sprinkle equally…

A: The objective of this question is to find out how much cheese Stacy puts in each bowl of spaghetti…

Q: Chapter 6: Systems of Linear Equations and Matrices 332 CHAPTER 6 Systems of Linear Equations and…

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Q: Let S be a linear transformation from R³ to R² with associated matrix 2 - [2²2 2 -3 3 0 3] Let T be…

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Q: 1. A function f(t) is continuous and differentiable, and has values given in the table below. 1.0…

A: Using secant of the arc about that point

Q: Supppose A is an invertible n x n matrix and is an eigenvector of A with associated eigenvalue -3.…

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Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

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Q: Use diagonalization to solve the given system. 4 6 *-(1-3)* X' = X(t) = X

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Q: Solve the inequality x²-x-2 > 0 O a. x 1 O b. x 2 O c. -1 < x < 2

A: Given inequation

Q: (3) Find an orthogonal basis of the column space of the matrix -1 6 6 3 6 -4 -3, A= 3-8 1-2 1

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Q: 3. Determine whether the following sets are open, closed, both, or neither. (a) (2,3) U{4} (b) [2,3]…

A: (a) (b)

Q: Prove there are no natural numbers n and p with n ≥ 2 and p² + 1 = 2”.

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Q: The accompanying table shows time-to-speed data for a particular car accelerating from rest to 130…

A: Let ,  is the speed at the time . Then the travelling distance from  to sec is,  Trapezoidal rule:…

Q: Show that in algebra Lie sl(2, C)' = sl(2, C).

A: To show that the derived algebra of the special linear Lie algebra is equal to the special linear…

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Q: Use the Divergence Theorem to evaluate the flux F(x, y, z) = Consider the shown work. div(F) S F.…

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Q: b) 6 7 1 2 -5 - 3 -9 -2 0 -3 4 -6 9 5 7

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Q: I need help with this here

A: The objective of the question is to understand the number of ways a number can be written as a…

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Q: For each problem, approximate the area under the curve over the given interval using 3 midpoint…

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A: We have to find .

Q: The matrices [8]. A₂ = [] ^--^-i [] , A4 = form a basis for the linear space V = R 2x2. Write the…

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Q: Find the least-squares line that best fits the data (2, 3), (3, 2), (5, 1), (6, 0).

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Q: Determine the Maclaurin series for the function f(x) = ln(1 + 2x). Notice that it is an alternating…

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Q: Solve for x:      3^(3-x)∙9^(x-2)=4

A: Here use the logarithmic and exponential properties of the functions to get the required solution.

Q: 1 2 3 4 5 6 7 8 9 4 2 3 8 7 1 5 6 9,

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Q: 1. Let p be a prime. A group G (either finite or infinite) is called p-group if the order of every…

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Q: Prove that gl(2, C) is isomorphic to the direct sum of sl(2, C) with C, the 1-dimensional complex…

A: gl(2,C):This is the Lie algebra of all 2×2 complex matrices. It is a 4-dimensional vector space over…

Q: Let A = {4, 5, 6} and B = {6, 7, 8), and let S be the "divides" relation from A to B. That is, for…

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