For this actvity, find the matrix representation [7] for the linear transformation 7 : R³ → R² defined by -(1)- [x₁+x₂] -2x3 with respect to the ordered bases --{8·60) Script> C * = {P]-B]}+ Save C Reset MATLAB Documentation

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A: Using the differentiation.

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Q: 13. Given ƒ(x)=x² −7x+6, g(x)=3x −1 a) Evaluate g(3) c) Determine and simplify g(a) + f(a) b)…

A: Given that the functions fx=x2-7x+6gx=3x-1            .

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Q: 3. If lim [x² -f(x)] = 2, use the Rules of Limits to evaluate lim[f(x) — 2x]. -

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Q: Consider the triple iterated integral below: -1-a [[*** f(x, y, z) dz dy dr Determine the limits of…

A: Solution:

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A: f(x)=ln(5x) f'(x)=515x = 1x f'(c)=1c   it is required Red cord.

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A: Let the coordinates of p(x) = 4x - 40 - 10x2 w.r.t the given basis B be (a, b, c)t  Then,      4x -…

Q: 2. Show that each of the following formulas are both satisfiable and falsifiable. (a) y Vxp(x, y).…

A: Given Data: We need to show that: (a) ∃y∀x px,y. (b) ∀xpx ∨qx→∀xpx∨∀xqx. (c) ∀x ∃ypx,y→∃y qx,y.

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Q: Question 2. Prove by induction that 52+1 +22+1 is divisible by 7 for all n E N.

A: Proof by mathematical Induction consists 3 steps :

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A: The solution for given problem is here below

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A: Advance maths

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Q: 1. Consider the formula A = (vx ₁(x, a₁)) → (y (p2(y) ^ P3(y, α2))). (a) Create a formula tree for…

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Q: 2. If U and W are subspaces of V such that V = U+W and UnW = {0}, then prove that every vector in V…

A: Due to Bartleby answering guidelines I have solved only first question which is question no 2.

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Q: QUESTION 2 Find the general solutions of the following differential equations using D-operator…

A: Given differential equation is,       D2+6D+9y = e-3x cosh3x (.)  General solution is given by ,…

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A: Solution is given below:

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Q: Р T F F T q F T F T p->q TOR F TORF TORF TOR F

A: Truth tables.

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A: Given, The demand function for a manufacture`s product is p = f(q) = -0.15q+405 Where p is the price…

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A: So there are two values of b.  b = 4 and b=-4 H

Q: 5.1.8. (a) (b) For x E Cnx¹, explain why ||x||₁ ≥ ||×||2 ≥ ||×||∞ · For x = Cnx1, show that ||x||;…

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

A: The solution for given problem is here below

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Q: Write the expression in terms of In x and In (x - 5). x² (x-5)4 In In (x-5)4 ||

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Q: Solve the given differential equation. 2ydx-2xdy + x' dx = 9dx

A: Here we have to solve the given differential equation.

Q: 5. Given f(x, y) = x+y. a) c) a) Draw the region that is the base (or footprint) the surface, b)…

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Q: Fill in the blank The following congruences have a unique solution modulo m= _______ because ______…

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Q: 15. Homework. Let a and b be integers. If 11 | 5x + 6y, prove that 11 | 8x + 3y.

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