a) If A is diagonalizable and 1 and 1 are the only eigenvalues, show that A-¹ = A.

Q: Find a root of x-x-10 = Oby using Newton-Raphson Method correct up to 3 decimal places. Using…

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Q: 1. Find the Fourier Sepise of 4x: 0<x< T f(x) {" 1:-π<x<0 on interval-A

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Q: a, b, c E R. 1 be R³ (a) The set of all vectors (b) the vectors of the shape (c) the vectors Which…

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Q: Consider the inner product defined by (x, y) = xy = y + x2y2, x, y € R²x1 (the scalar [3] [2¹]…

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Q: 5. a. One hundred twenty units of end item Z are needed at the beginning of week 7. Prepare a…

A: We have to prepare material requirement for component C, and also,  We have to prepare material…

Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A: We have to determine that the given differential equation is exact or not. If it is exact then we…

Q: Under what condition for the real numbers a,b the vectors (b,-1)(2,a) are linearly related

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Q: Find a particular solution to the nonhomogeneous equation below, given that f(t) = 5t is a solution…

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Q: Consider the following boundary-value problem: y"=2x²y + xy +2, 1≤x≤4. Taking h= 1, set up the set…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Can this be written out with pen/cil and paper?

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Q: 3. There are 9 dots randomly placed on a circle. How many triangles can be formed within the circle?

A: The number of ways r items can be selected from n different items is equal to C(n,r). The formula…

Q: 4. Give the general equation of the plane containing the point (3,-1,4) and 2-2 perpendicular to the…

A: Given 3d line equation as:- x2=y=2-z-3 it is perpendicular to a plane P containing point (3, -1, 4)…

Q: pllowing defines a. f(x)=x+3 -; domain= {1,2, -3, -6} b.f(x)=√x-3; domain = {3,4,0} X c. f(x) = ;…

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Q: 8. Which of the following best characterizes the statements, where P and Q are statements A) If m is…

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Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by (E+ x,…

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Q: Prove that Hence deduce that L{x"; p} r(n + 1) pn+1 " if n>-1, p > 0. L{x-¹/2; p} = √√(π/p),p> 0

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Q: 05/ Giving the following data: X 0 1 2 3 4 5 f(x) 1 0 1 3 8 16 Evaluate the integral [f(x)]² dx by…

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Q: IF: A = 2i - j+2k and B=9i+20j + 12k Find: Unit vector for A direction. Unit vector for B direction.…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Which of the following relations is not a function? a.{(3,3), (2,3),(0,4),(1,4)} b. {(3,3), (2,3),…

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Q: DIRECTIONS: Draw the following sinusoidal waveforms: e = 120 sin (wt+20°) i=-25 cos (wt-n/3) wwwwwww…

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Q: i. Find the real root of the given function f(x) = e²x − x − 6 = 0 by Newton-Raphson iterative…

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Q: 5. Let S {V₁, V₂, ₁), n 22 be a set of nonzero vectors of V. Each of the following statements is…

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Q: 8. Show that the volume of a cone with height h and radius a equals Ta²h using 3 h iterated…

A: We have to show that the volume of a cone with height h and radius a equals (1/3) πa2h using…

Q: Q1) Use the appropriate Lagrange interpolating polynomial of degree two P2(x) to approximate f…

A: It is a Numerical analysis problem and let us use Lagrange interpolating polynomial to approximate…

Q: 3. Write five other iterated integrals that are equal to the given iterated integral 1 1-y S. SS.…

A: The given integral is                              ∫01∫x1∫01-yfx,y,z dz dy dx. To find: the order of…

Q: Choose a quantity to be represented by a variable, then write a mathematical expression for each.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Discuss the Convergence or Divergence for D ① [4+(-](+2)" 2n+1 ご 2 (2n+1)!

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Q: Find the volume of the parallelepiped having adjacent edges u, v, and w; for u = (1,-1,0), v =…

A: We have to find the volume of the given parallelepiped.

Q: The Maclaurin polynomial of order three of the function f(x) = sinh (x sinh xuố 6 is:

A: Option(E) is correct

Q: Use a graphing utility to graph the polar equation. Between the loops of r = 2(1 + 2 sin(0)) Find…

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Q: 1 Choose the correct answer (1) The p-series diverges for ( ). k=1 (A) p≥0 (B) p≤0 (C) p≥1 (D) p ≤ 1

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (12) Two vectors A and B have magnitude A = 3 and B = 3. Their vector product is A B=-5k + 2i. What…

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Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 y^2 (xdy+ydx) = (xy+2) dy

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Q: Apply Newton’s approx. to find the value of x for cos x = tan x; x0 = 1.

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Q: Extend the linearly independent Set S={x+1, 2x²3 to the space base P₂ (R)

A: We are given linearly independent set S={x+1, 2x2} and we need to extend it to basis of P2(ℝ)

Q: A fuzzy set B is closed if and only if B contains all the accumulation point of B. accumulation…

A: Option-A is correct.

Q: 2. Caffeine is eliminated from the body at a continuous rate of approximately 17% per hour. A…

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Q: Consider the initial value problem (x+1)y" - y" - (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1…

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Q: Categorize each of the following signals correctly as case A, B, C, D, or E. (Simply enter A, B, C,…

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Q: Find the magnitude of the vectors represented 3 by (@5 0² 05 + !|

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Q: Which of the following graphs shows a system of equations with the same end behavior for both…

A: Given: Different types of graph.  To find: Graph that show system of equations with same end…

Q: Determine whether the series En 3n+1 ln(n+1) is convergent or divergent. +∞ n²

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Q: An accident at a nuclear power plant has left the surrounding area polluted with radioactive…

A: The given scenario can be modelled by the equations dAdt=k At and At=A0ekt. a) The initial amount of…

Q: 22. Data may have a positive skewness mean long tail of curve to the left. O True O False

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

Q: In the figure, AB II CD and BC II AE. Let LABD measure (3x + 4)º, LBCD measure (6x - 8)°, and LEDF…

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Q: Thingamabob Sales Yaster Inc. is trying to enter the thingamabob market. The research department…

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Q: 5. Identify and sketch the graph of y = x² + 1 in R³.

A: To identify and Sketch: the curve y=x2+1 in ℝ3.

Q: 9. Convert ¹42(4-4x²-y²)dydr into a triple integral with dV = dydzdx.

A: Here we conside the limits of x nad y then we try to find the limit of z for which after integrating…

Q: 7. Determine all solutions in the integers of following Diophantine equations: (a) 18r+ 5y = 48. (b)…

A: We have to find all solutions in integers of given Diophantine Equations and also determine all…