Use standard matrices of T and S to find the standard matrix of SoT, if possible S:R² → R², S(x,y) = (2x + y,x – 3y) , T: R? → R², T (x, y) = (x – Y, x + y) .

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A: contour map for a function t(x, y)=f(x, y) is t(x, y)=k

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A: The solution is below.

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Q: 4. a). Write the second-order-order Maclaurin series for the S(4) - fin (1 + x*r }t function

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Q: 1. Construct a Turing machine that accepts L = {0"1"0" | n > 0}

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Q: In problems 10 thru 13, evaluate the integrals around the circle Iz| = 2, counterclockwise. 1= dz.…

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Q: Prove the following using the rule of replacement and rule of inference. (p=q)^(r=s) : (pvr)=(qvs)

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Q: 2. Finite Geometry: Draw one illustration each for the three-line and four-line geometries.

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Q: Solve the differential equation using Laplace Transform method. y’’ - 4y’ + 9y = t, y(0)=0, y’(0)=1

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Q: Exercises: Sketch the region of integration and write an equivalent double of integration reversed.…

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s + 21

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Q: What is the Fourier Transform of f (t) = 3; -2<t< 2 O sin(2w) 0 음sin(w) o žsin(w) o 용sin(2u)

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Q: Determine whether following the series converges or diverges. n2 + 7n + 5 n=1

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Q: On his 6 Algebra tests, Omar received the following scores: 82, 44, 92, 86, 77 & 82. Find the mean,…

A: Since you have posted multiple questions with multiparts and we can answer three subparts of a…

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A: False. First I recall you what is the definition of basis. set B of vectors in a vector space V is…

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Q: (g) Comparison Test/Limit Comparison Test: 2+ cos² (5n) n -n-1

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Q: How did you get the expression for xtan-1(x)? How did you relate it with the maclaurin series of…

A: We use the Maclaurin series of tan-1x and multiply it by x on both the sides to get the Maclaurin…

Q: Let d1, 82 E R such that 0 < d2 < 82. Show that the d1-ball B(p, 81) is a subset of 52-ball B(p,…

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Q: Let M(x,y) = x+y-3 and N(x,y) = x+3y-7. 1. Find α, β ∈ R such that if u=x-α and v=y-β, then M((x(u),…

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Q: Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36…

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Q: a) ] Let W = span{(1, 1, 0), (1, 0, 1), (2, 1, 1), (0, 1,-1)}. i. Is (9,0,9) in W? Justify your…

A: Please post the multiple question separately. Here I answered 1st question as per out policy.

Q: QUESTION 11 Given H {(1), (1 2) (3 4), (13)(24), (1 4) (2 3)}. %3D a) Show tha H is a subgroup of A…

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Q: 2) Write an equation for the curve shown below. Explain what kind of graph it is and what elements…

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Q: [0.4 -0.3] 4. Let A = b as k → ∞. L0.4 1.2 Explain why Ak approaches [-0.5 -0.75] 1.0 1.50

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Q: QUESTION 5 a) What is the maximum possible order of an element in S,? Give an example of one of…

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Q: Calculate the line integral of F(x, y. z) = (e*.e*, e") over the closed path ABCA, where A =…

A: The parametric equation of a straight line between the points x1, y1, z1, x2, y2, z2 is x=x1+tx2-x1,…

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Q: Find the least-squares solution î of the system 1 1 -1 6 1

A: Least square solution of system Ax = b is  A^(T) Ax = A^(T) b

Q: Advanced Math Question

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Q: Problems: 1. What is recurrence relation? 2. Find the roots of x^2-x-13D0. 3. Simplify =1+1/

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Q: Determine the surface area and volume of the concrete curb using the theorem of PappusGuldinus 100…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.