Using the inner product (, ): M2×2 × M2×2 → R, (M, N) = (MNT)₁,1 + (MNT) 2,2 calculate -2 3 1 - ([²³] [73³]). 4 7 4 4

Q: 1) Let A = [¹] and and B= =13241 be two matrices in M₂x2- a) Show that the matrix C = [] does not…

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Q: Let p(x) = 5x + 4x³ + 3x² + 2x + 1 and 0 1 0 0 0010 0001 0000 A = Find the matrix p(A). What is the…

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Q: Find [₁²² x²dA where R = {(x, y) | 4x² +9y² < 36} Question Help: Video

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Q: Graph G is defined by the arrow diagram below. 3 2 What is the in-degree of vertex 2?

A: Given Graph is Degree of the Vertex: The degree of a vertex is the number of edges connecting it.

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Q: Below is shown the graph of y = x². The vertex of the parabola is at (0,0). Adjust the graph by…

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Q: Problem 9 points). For each of the following functions d: R2 x R² → [0, 00), say whether d is a…

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

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Q: You want to buy a $24,000 car. The company is offering a 2% interest rate for 36 months (3 years).…

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Q: Let G=(V, E), be given by V = {a, b, c, d, e, f,g}, E = {[a, b], [b, c], [c, d], [d, a], [a, c], [e,…

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Q: 8. s.) Complete the Implicit Function Theorem for F: R4 R² where F(x) = (F1(x), F2(x)) and x = =…

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Q: Problem 11 E = {[a, b], [b, c], [c, d], [d, a], [a, c], [e, f], [e, g]}. Let G=(V, E), be given by V…

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Q: Suppose the domain of discourse is the group of technical support people at Horizon Technical Suppo…

A: Given    Fx : x is friendly                  Hx :  x is helpful                 Kx : x is…

Q: Let f(x) = -5 Do the following. ex e (a) Evaluate the limits: lim f(x) and_lim_f(x). x→1+ x18 (b)…

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Q: You want to buy a $180,000 home. You plan to pay 15% as a down payment, and take out a 30-year loan…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: Consider the function space P3 consisting of of polynomials p(x) with degree at most three. (a) What…

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Q: Consider the function yx y² + x² if (x, y) = (0, 0) if (x, y) = (0,0) Compute the partial…

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Q: Determine the Fourier series for the following periodic function. -1 < t < 0 0<t <1 (0, f(t) = {₁…

A: Fourier series for the periodic function

Q: y=√√√x-1, x−y=1

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Q: In 2000, the population of Metropolis was 55556. By 2011, the population had grown to 72760.…

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Q: Suppose that g is a function of two independent variables that has continuous partial derivatives,…

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Q: Use Simpson’s Rule with n = 4 intervals to approximate

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Q: Suppose that $10,681 is invested at an interest rate of 5.6% per year, compounded continuously. a)…

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Q: What is the rank of each of the matrices below? (a) 1 0 1 0 0 6 010 (b) (c) (d) Д 90 10 0 1 -1 7 00…

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Q: Recall that if x = p/q (with gcd(p, q) = 1) is a rational root of an equation 1 aox" + a₁xn-¹ +…

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Q: 2xy 9x² + (2y + x² + 1)dydx = 0

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Q: Given the functions h(x) = 2x + 3 4x - 5 find h-¹(x)

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Q: Select the function that is neither onto or one-to-one. Of: Z Z described by f (x) = 2x² + 1 Of: ZZ…

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Q: 2. For each n E N, let fn : [0, 1] → R be defined by fn(2) = xn 1+xn Prove that (fn) converges…

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Q: (1) Find the radius and the interval of convergence of the power series. Be sure to check the…

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Q: Find the length of the following polar curve The complete cardioid r= 2-2sin(theta)

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Q: Let C₁ be the directed line segment that starts at (2,0) and ends at (−3,−5) and C₂ be the parabola…

A: According to the guidelines only one question can be answered. Please repost other question…

Q: Solve 2(1 + i)x² 4(2-x-5-3;= 0.

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Q: The decay of a radioactive substance is measured continuously, where t represents the time that has…

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Q: A = 1 α B 1 00 0 0 1

A: To find the eigenvalues and eigenvectors along with conditions.

Q: Solve the following linear Bernoulli equation y'-y tan x= sin2x given that y(x=0) = 1 Vloer

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Q: If x; is a leading variable of a homogeneous SLE then x can be expressed solely in terms of the free…

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Q: Evaluate e [[ 2² + y² − z dS where S is the part of the cone 2² = 2² + y² that lies between the S…

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Q: If 1+ 1-i m = 1, then find the least positive integral value of m.

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Q: Question 14 The following graph is a tree: O True O False 2 4 5 6

A: For any graph to be tree one logic is followed. Every child has only one parent but one parent can…

Q: The points (-2, 4, 5), (4, 5, -3), and (1,-1, 6) are three of four vertices of parallelogram ABCD.…

A: The diagonals of a parallelogram bisects each other. The midpoint of the line connecting the points:…

Q: Using the figure to the right and the following side lengths, find the value of x. RS=3(x-4)+9 and…

A: Given Figure is Here given that RS=3(x-4)+9⇒RS=3x-12+9⇒RS=3x-3andRT=3(3x-9)⇒RT=9x-27

Q: 9. If an+1 = 2an + 2 and ao = 4, then an = O 3(2)n + 1 6(2)n-2 O 2n + 3 O none of these

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Q: Let A be an m x n matrix and let b be a vector of length n. If A x = b is consistent then rank(A) =…

A: We can check whether the given statement is true or false.

Q: Please answer the question with steps and correct answers.

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Q: Suppose that a, b R with a 0. Prove that [sz f≥ 0.

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Q: Say that you need to compute a double integral of the function f(x,y)=xy over the region D bounded…

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Q: Given the vector field F = (e',e¹) and the curve C going from point A to point B shown in the…

A: The given vector field is F=ey,ex. The curve with vector field is given. To Check: whether the given…

Q: Find the surface area of the part of the sphere x² + y² + ² = 16 that lies above the cone z = √√x² +…

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Q: (6411 #7 p. 351) A 200 foot chain hangs over the edge of a tall building. The chain weighs 2.5…

A: Given :   Length of the chain L = 200 foot   Chain's weight per foot λ = 2.5 pound   Initially the…