2. Find the volune og the solid gonned by revohing abaut thie lere y y=4x+1, y: -1 bounded by 4x +3, x -0 and x=3, =

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Q: Prove that there is no rational number whose square is 12.

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A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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Q: 1. What does the Fundamental Theorem of Arithmetic tell us about natural numbers?

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Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D where a = (1 2 3 4) and b…

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Q: I reached this same conclusion " Tx=Ax1x2⇒Tx=0110x1x2⇒Tx=x2x1" but had difficulty explaining it in…

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Q: 1 4 5 -6 g) A = 6 15 , B= 11 - 23 -12 3 51 35 -4 71 52 12 h) A = 22 9 B =-5 17 -19 100 - 24) -8 91…

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Q: 3.1 The norm used in the definitions of stability need not be the usual Euclidian norm. If the…

A: (i) x2=x12+x22 the unit ball for this equation, for n=2 is the region inside the circle of radius 1.

Q: 6. "Find the mserse Laplaie fnanform 10 11 25+3 12

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Q: Simplify: (r = |7|, 7 = xì+ y} + zk) {

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Q: Let E be the surface with equation (y – 4/2)? 1. 32 42 8/2, and (a) Give equations of the traces of…

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Q: Section 3.2 In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for…

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Q: ĐUse the imProved wmethod Solve the: Sayt an x=Sinzt, yl0)=1 ,h20.

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Q: Proposition and Connectives. 1. Let p be "It is cold" and let q be "It is raining". Give a simple…

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Q: 1. (i) Show that if A is an n x m matrix and if B is an m x n matrix, then A 0 is an eigenvalue of…

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Q: Fit an exponential curve of the form y = ab* to the followin 1 3 4 6. 1.0 1.2 1.8 2.5 3.6 4.7

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A: The LPP is as follows maximize Z=16m+14t+12pm≥10m≤15p≥8p≤12m+t+p≤40m,t,p≥0 use the simplex to solve…

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A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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Q: 4) Consider the function g defined by gx, y) = car (7x Jj ) + logg(x-y) does 9 have the maximum (c)…

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Q: Find the transition matrix from the ordered basis of 3 R? to the ordered basis of R?.

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Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D %3D where a = (1 2 3 4)…

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Q: [B] Find the dual for the following linear programming problem: (i) Maximize Z = 3x + 4y + 5z…

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Q: Part 1 Use differentiation and/or integration to express the following function as a power series…

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A: To find the convergence of integral we consider the corresponding indefinite integral and evaluate.