Solve the system of congruences r = 1 mod 10 = 2 mod 7

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Q: not correct

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A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

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Q: w is an imaginary root of unity. Prove that (i) (a+ba+ca²)³ + (a+ba² +ca)³ = (2a-b-c) (2b-a-c)…

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Q: Diagonalize A the matrix A. -27 2 3 4 3+ i√5 0 0 [S+W³² $ "VE] [3+1 0 3-i√√5 i√5] 0 0 [-³+1 0 O…

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A: Given data for 7-day moving covid-19 infections for the first 15 weeks is: Week 1 2 3 4 5 6 7 8 9…

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Q: 1- Calculate the area of the region which is bounded by: y = 4x − 3x², y = ¼ x², and y : = 0.

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Q: Consider the initial value problem Suppose we know that α= B = -3t+ a g(t) = −3+² + 8. - is the…

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Q: Q 2. Use Laplace Transforms to find the solution of the differential equation d'y dy - − 6y = e²,…

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Q: Let (X, d) be a metric space, prove that for any x, y, z E X, we have |d(y, z) - d(x, z)| ≤d(x, y).

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Q: Can we make the polynomial a(x) = polynomials? h₁(x) = – 1 h₂(x) = x + 2 h3(x) = x² + 1 Answer: Yes,…

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Q: Find all the solutions to z7 = 1 - i√3, and plot them on the complex plane. Show that (cos 0 + i…

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Q: Is f(x) = x / (1+sqrt(x)) uniformly continuous on [0,1] and [0, infinity).

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Q: a that have the same boundary curve and orientation. ., True, False or Indeterminate: If S is a…

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Q: N How many solutions are there to the equation X₁+X2+X3+X4+X5+X6=41, where each x; is a positive…

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Q: u v If (x + iy)³ = u + iv, then show that + = (x² - y²). - X y ---

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Q: Using the data below, determine who won based on the following voting methods.   Number of voters…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

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Q: Problem 1. Let H be a Hilbert space and p: H→ H be a projection, i.e. it is a linear application…

A: Given Data: Let us consider the given p is a non zero continuous operator. (a) To show that p=1. (b)…

Q: A2/PC 5.8 HW Problems: Applications of Quadratics. #6 has some formatting issues: 1) 1) The h(t)…

A: Given: t (time) H (Height) 0 5 0.5 13.5 1 19 1.5 21.5 2 21 2.5 17.5 3 11 3.5 1.5…

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Q: 5. Prove that a symmetric matrix P is positive definite iff all eigenvalues of P are positive.

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Q: 2. Prove that if d is a metric for X, then another metric d' for X is given by if a ≤ b " if b ≤ a…

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Q: Evaluate - III, ³ 3xz dV where E = {(x, y, z) | 1 ≤ x ≤ 4, x ≤ y ≤ 2x, 0 ≤ z ≤ x + 3y}

A: The given problem is to evaluate the given triple integral over the given region E.

Q: Graphing Quadratics Standard Form Identify y-int, x-int(s), axis of symmetry, vertex from the…

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Q: 12. C-1 더 13. C-1 ~ sle-28 8-31 2s (82 + +1)² 14. Find C-1 1 s1 ( 8(s + 1) J without using partial…

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Q: Identify one point at which the gradient of the function is 5i + 5j. (x, y) f(x, y) = = -8x² - 7y² +…

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Q: The function f(x) = (x + 6)³ — 2ex² has two roots between x = −7 and x = 11. - 1. Plot f(x), -7 < x…

A: As per the question we are given a function as : f(x) = (x+6)3 - 2ex² Which has two roots between x…

Q: Find all solutions z to the equation exp(iz) = −1+i.

A: Note:  ln(α+iβ)=ln(α2+β2) +i( Arg(α+iβ)+2kπ), k∈ℤ, where Arg denotes principal argument.

Q: 1 a 0 b 1 -1) 31 For which values of a and b is-2 invertible? Why?

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Q: Let R be the region bounded by the parabola y = -x² + 4x + 3 and the line y = 2x. a. Find the vertex…

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Q: May i please request a hand written solution.

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Q: Question 5. The function f(t) is defined by 0<t≤ 1 f(t) = { 1 < t <≤ 3 -t+5 -1 with f(t + 3) = f(t)…

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Q: 1. Let X be a topological space. Suppose X contains an infinite, closed, discrete subspace. Show…

A: Given topological space X such that X contains an infinite closed discrete subspace. We now show…

Q: Use Stokes' Theorem to evaluate (integral) F (dot) dr. C is oriented counterclockwise as viewd from…

A: here we will use stokes theorem for any vector field F  ∫CF.dr=∫∫S curlF dS where C is a positively…