1) If A = 35 01 (49) and B-(4) -4 2 -6 Find:- a) BA b) |B| = c) Adjoint A d) B-1

Q: Write the complexes in trigonometric and polar form a) 4+3i

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Q: (b) The vector field F = (7xy, e) is not conservative. Find the exact value of the integral of this…

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Q: Consider the graph G with the adjacency matrix: 0 G is a tree. G is planar. ✔G is connected. 0 G has…

A: Let  is a vertex set of graph.Then using these vertices adjacency matrix can be expressed as

Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: The orthogonal basis is the set of linearly independent vectors whose inner product is zero andthese…

Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: Here we have to find the orthogonal basis for given matrix.

Q: (a) Let G be a simple graph with n vertices and m edges where m ≥ (^₂¹) + 2. (i) Let vand w be any…

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Q: ( ) The IVP d²x dt² dx + cos(t). + sin(t)x: tan(t) dt x (1.25) = 12 dx dt 1.25 has a unique solution…

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Q: Quadratic Interpolation • a strategy for improving the estimate by introducing some curvature into…

A: Given information:x01002004006008001000f(x)00.8243610.735760.406010.199150.09158To find:The value of…

Q: Given F = xi + 2y j + z k and assume that N is the upward directed normal field to the surface S…

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Q: [[ 1² dA, where R is region in the third quadrant between the circles of radius 2 and 3 R centered…

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Q: Assume you are given recursive algorithms (like search algorithms) that, given large inputs of size…

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Q: (10) 4+31 & Let Trigonometric form of is rcosc +r sin o As such here, rcos = 4 ring = 3 Squaring the…

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Q: Let P, denote the vector space of polynomials in the variable of degree n or less with real…

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Q: 1. Use the minimum-entry and u-v methods to solve the following balanced minimum-cost trans-…

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Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

A: The given basis for  subspace using Gram-Schmidit process will produce an orthogonal basis for .

Q: Read the SageMath code for understanding, and evaluate the SageCell. Use your findings to provide a…

A: Given Information:To find:The matrix  such that  using sage math code.

Q: Problem 0.6 (1) ΣΑ (2) (3) n sin(n) 1+n³ Determine whether the following series converges. o(-1)"…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: 3 Given the function f(x) = x + 3 on the interval 0 ≤ x ≤ 1 the Fourier sine series expansion of…

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Q: Using the Regula-Falsi (displacement) method with three iterations Determine the root of the…

A: Given function is                    Let the initial conditions x down is  and x up is First…

Q: State the asymptote: y= 2x-1 +3 Evaluate to four decimal places cot193⁰

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Q: Question 1. Consider the following function: a) Graph the function 3 2 0 ) = { $ 1-2 f(x)= 0≤x≤2…

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Q: 2. Two problems: (a) Prove the formula for integration by parts: if F and G are C¹ functions on [a,…

A: Given,  and  are  functions on  and  and .To Prove: Integration by parts formula,

Q: Find the inverse Laplace transform for O tu (t) ○ tetu (t) O te¯tu (t) ○ etu (t) 1 (8+1)²

A: We have to find the inverse Laplace transform of the function.

Q: 7. The following matrix is the augmented matrix for a linear system. 5 0 0 5 -1 0 1 0 3 1 2 0 0 1 4…

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Q: If T: P₁ → P₁ is a linear transformation such that T(1 + 5x) = 2 + 2x and T(4+19x) = 1 +2x, then…

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Q: Determine the accumulated value after 14 years of deposits of $230.00 made at the beginning of every…

A: Given:There is 14 years of deposits of $230.00 made at the beginning of every year and earning…

Q: Use a power series to approximate the area of the region with an error of less than 0.0001. Use a…

A: Given information:The integral .To find:The approximate area of the region using a power series with…

Q: Determine how many times the innermost loop will be iterated when the following algorithm segment is…

A: The objective of the question is to determine the total number of iterations of the innermost loop…

Q: Consider the ordered bases B = a. Find the transition matrix from C to B. TB = b. Find the…

A: According to the given data, find the following:

Q: Learning Target R4 Core: Given a statement to be proven by (weak) induction, I can state and prove…

A: Base Case:Statement: Proof:  so the base case holds.Inductive Hypothesis: Assume that for some…

Q: 2 2 4 2 4 b) y" + 2y' + y = | reft - r) dr, y(0) = y'(0) = 0

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Q: S is the surface defined by x² + y² = 9,0 ≤z ≤ 8. The vector field is F = (1,2, z). Determine the…

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Q: Show that (-6,0) -10,-1) independent of path: af |ss|8 dy ag əx = = (-6,0) (-10,-1) (-6,0) (-10,-1)…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A: The equation of the plane is given by :  where, (p,q,r) is the point on the plane and <a,b,c>…

Q: Question: Differentiation provides an interesting example of a linear transformation between spaces…

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Q: (17) The graph of p(x) is shown below. What is the remainder when p(x) is divided by x+4? A) x-4

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Q: 5.1. In the Path Edge Cover problem, we are given a directed acyclic graph A with two distinguished…

A: In the Path Edge Cover problem, we are given a directed acyclic graph A with two distinguished nodes…

Q: 3. The Leibniz rule for the nth derivative of a product is given by dn dx" n (f(x) g(x)) =…

A: Let the Leibniz rule is              Step(1):  We know that…

Q: if our initial condition for (z,y) is (20,20), what should we expect to happen to z and y in the…

A: The objective of the question is to predict the long-term behavior of the variables z and y, given…

Q: Diagonalize the given matrix A and hence find A². 10 -2 -5] 2 3 3 5 A = -2 -5

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Q: 30. All Smiles Dental Clinic would like to develop a hygienist master schedule for the treatment of…

A: Given information:Five full-time hygienists are scheduled  days a week.Each hygienist can treat…

Q: f(x)=tan(x)-sin(x)-2.75=0 where x is in radian. Calculate f(x) at .5 and 1.5, and show that a root…

A: We have to do three iterations of Newton-Raphson method and Secant Rule.Also Calculate the…

Q: 1. (i) Show by hand that 2 is a primitive root mod 19. (ii) Find² a complete set of primitive roots…

A: Note: According to guidelines I will answer first question only.

Q: 8) Prove that 2 is a primitive root modulo 53.

A: We have to Prove that 2 is a primitive root modulo 53.

Q: Two vertical poles are crected 3 meters apart. One pole has height 1 meter, and the other pole has…

A: Let AB and ED be the poles and BD denotes the distance between them. ACE be the string.(The figure…

Q: Let T: P3 → P3 be the linear transformation satisfying Find the image of an arbitrary quadratic…

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Q: Solve the boundary-value problem y" − 8y' + 16y = 0, y(0) = 3, y(1) = 0. y(x) = help (formulas)…

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Q: Which of the following probability distributions is best suited to the scenario where you're…

A: probability distributions is best suited to the scenario where you're recording how many times…

Q: L 2 8st2 }

A: We have to find the inverse Laplace transformWe know that

Q: B. Let S and T be sets of real numbers, and define S. T to be {x.y:xe Sandy e T}. Show that if S and…

A: B) Let  and   be  sets  of real numbers.    Define     Suppose that both the  sets    and   are…