FIND THE TOTAL MASS OF THE WIRE WITH DENSITY P F(t) t²₁ + 2tĴ, p(x, y) = 8/ay, 0≤t≤l

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Q: Exercise 1) Consider the group (S3, 0) and H= ({e, fs). Prove that H&S₁. 2) Consider the group (Z.)…

A: 1) The given group is (S3,∘), and H={e,f3} . To Prove: H⊲G. As per policy, we are solving only the…

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Q: Correct. Solve the given initial value problem. ○ xy² + xy³ = 0 Oxy² = y³ = 1 0x²y² + y² = 3 Ⓒx²y² +…

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Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ - 3x (3x + 4 if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: 5 1 5 4 Let T be a linear transformation from R³ to R² such that [T] (0,2,3)} is a base of R³ and C…

A: Given T is a linear transformation from ℝ3  to  ℝ2 such that TBC=512549, where B=1,0,0, 0,1,1, 0,2,3…

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Q: Surfaces z = x² + 2y², x + y = 0 X Parameter x = 5t

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Q: Question 8 Suppose 14 blackberry plants started growing in a yard. Absent constraint, the blackberry…

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A: Given- During the annual conference of a professional organization, nine topics were proposed for…

Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. (make it as an…

A: Given:  Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0

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A: Recall divergence is a scalar and has formula enclosed in next page

Q: the ODE Given that {x, x-¹, x²} is a fundamental set of solutions to x³y" + x²y" - 2xy + 2y = x³…

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A: Hints:  Here we need to discuss about Jacobian matrix.

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Q: FIND THE FLUX F OF THROUGH 9, SSF. Nds, WHEREN IS THE UPWARD UNIT NORMSAL VECTOR TU S. Xi+ YJ 2 x² -…

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Q: What is the characteristic equation of the matrix  (10     -5)  (3      -2)

A: Given matrix is 10-53-2

Q: Let f(x, y) = 6 - 3y³ - yx² + 2x² + 2y² and h(x, y) = 2x² + y². a) Find all the local maximum and…

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Q: ( J Let f(x) = [x] + [-x] where the largest integer function [x] is defined by the largest integer…

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Q: (1) For the following linear transformations T find its matrix representation with respect to the…

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Q: FIELD FIND A POTENTIAL DETERMINE WHETHER THE VECTOR IS CONSERVATIVE. IF IT IS Function FOR THE…

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Q: Find the polynomial of degree three for the following data. Also find P(-2). X 0 1 4 6 y 1 -1…

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Q: Suppose And Xxn Xo = 2√3, Yo = 3, Yn 2xn-1Yn-1 Xn-1 + Yn-1 = √XnYn-1 For all n E N Prove that Xn…

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Q: Use logarithmic differentiation to find the derivative of y. 20) y = (x4 + 1)³(x - 1)2x4

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Q: Determine whether the linear transformation is invertible. If it is, finds its inverse. T(x,y,z,w)…

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Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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Q: Evaluate the iterated integral. 27 1²th I 729- y dx dy = 27 1.² 1. 729-y² y dx dy

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Q: 3. An integral equation is an equation that contains an unknown function y(x) and an integral that…

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Q: the ODE find 1 Given that {x, x¹, x²} is a fundamental set of solutions to x³y" + x²y" - 2xy + 2y =…

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Q: 4. Show that it has a real value!

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Q: This is for a discrete math class, Im struggling with the P(n+1) part as well as how to use that…

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