Show that if a contraction map f: from M to M has a fixed point then it's unique.

Q: Problem 14. Determine if the statements are true or false. ? ? 1. If the set of vectors U spans a…

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Q: 31. Solve the initial value problem y' = 2y² + xy², y(0) = 1 and determine where the solution…

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Q: Example Determine the green times allocation using v/c equalization. Assume the extension of…

A: Given , extension of effective green time= 2 seconds            startup lost time = 2 seconds…

Q: The inequality, x ≤ 4, written in interval notation is : 1. (-∞,4) 2. [-∞,4) 3. (-∞,4] 4. [-∞0,4] O…

A: Inequality: A mathematical expression in which both sides are not equal is called an inequality. We…

Q: 2z 2z x+y Q3 Show that z= satisfies the equation x+y=0 2x 2y x-y

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Q: Consider the initial value problem: y-y+8, 0sts 1, y(0)-1 The approximation of y(1) by using…

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Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

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Q: Find the volume of the solid generated by revolving the area bounded by x2 - 2kx - 3ky + k² = 0 and…

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Q: Determine whether the given formula is a tautology (T), a contradiction (C), or synthetic one(S) in…

A: Solution:~∀y∃xD(y,x)→∃x∀y D(y,x)Let us assume that m denotes ∀y∃xD(y,x)And n denotes ∃x∀y D(y,x)Also…

Q: 15. If : DC such that A CD, then f-¹[[A]] CA. 1 2 3 4 5 16. Consider the permutations f 5 3 1 2 4…

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Q: 3. a) Is there exists a linear map T: R2 R2 for which T(7,7)=(4,-5) and T(2,2)=(8,-2)? Justify your…

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Q: 3. Let P=0 <<<1, be a partition of [0, 1], and (1+√F. 0<x< f(x)=1-√. #se<di lit issi

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Q: 37. Solve the equation where a, b, c, and d are constants. dy dr ay+b cy + d'

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Q: b) Consider the following LP problem. Minimize z = 2x₁ + x₂ Subject to 3x₁ + x₂ ≥ 3 4x₁ + 3x₂ ≥6 x₁…

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Q: a) Consider the following non-normal LP problem. Minimize z = x₁ - 3x₂ - 2x3 Subject to 3x₁-x₂ + 2x₂…

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Q: 3) Given Over what area are we theorem. 1 y(0) = 1 guaranteed a unique solution? Explain using…

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Q: Question 6 A vector field is given by F(r) = zi+a+yk, and a paraboloid is given by S = {(x, y, z) €…

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Q: -1 1 1 1 1 1 −1 1 1 1 -1 -1 1 -1 1 and B = -1 1-1 1 -1 -1 1 5 k -1 1 5 k h all values of the…

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Q: A SNAIL IS CRAWLING STRAIGHT UP A WALL. THE FIRST HOUR IT CLIMBS 16 INCHES, THE SECOND HOUR IT…

A: A part of the whole thing is known as fraction. We can write a fraction in the form of ab, where a…

Q: Let A, B, and C be sets. Using Venn Diagram and Set identities, show that a) (A∪B)⊆ (A∪B ∪C). b)…

A: Follow the steps.

Q: Find the volume of the solid generated by revolving the - area bounded by x² − 2kx − 3ky + k² = 0…

A: The given curves are  x2-2kx-3ky+k2=0                 …13x-3y+k=0                 …2 The given line…

Q: Consider the following subsets of real plane R² A = {(0,y): ≤ y ≤ 1} B = {(x, y): 0 ≤ x ≤ 1, y =…

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Q: 3. Solve, showing details: y₁ = 4y2 + 5et y2 -1 = -₁- 20e-t yı(0) = 1, y2(0) = 0

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: 3. Solve, showing details: y₁ = 4y2 + 5e² y2 = -₁- 20e-t Y2 y1(0) = 1, y2(0) = 0

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Q: Using Theorem 3, find f(t) if L{F} equals: 10 $310s f(t) =

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Q: transform Find the Laplace [(+-1)u(t-1)-[(+-1) (+-2) U

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Q: TASK Double Ferris Wheel Some amusement parks have a double Ferris wheel, which consists of two…

A: Given, Each wheel has 6m diameter and revolve in every 12sec. Rotating bar is 9m long. Height is 8m…

Q: For items 8, 9, and 10, consider the region bounded by y = e+1, y = 1, and y-axis. 15 10. Using the…

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Q: Determine whether the equation is exact. If it is exact, find the solution. (e*siny + 4y)dx - (4x -…

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Q: Following the arithmetic sequence find the sum of the terms from a15 to a21 inclusive.  3,8,13,18…

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Q: sin² x x cos²x csc²x-cot²x 4csc²2x

A: This is the question from other math, finite math and counting and identity.

Q: Use modular arithmetic to determine the following:  Disregarding a.m or p.m., if it is now 9…

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

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Q: The function u(x, y) obeys, Which of the follow represents a valid first step for finding u(x, y)?…

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Q: 7. The depth of the water at the end of a pier is 2 m at low tide and 12 m at high tide. There are 6…

A: Given depth of water is 2m at low tide                         &amp;     12m at high tide   Time…

Q: Example 8: Find the point where the line x = 1 + t, y = 2t, and z= -3t intersects the plane…

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Q: Discuss the difference between harmonic and conjugate harmonic function. Also find the analytic…

A: The given problem is to discuss the difference between harmonic and conjugate harmonic function and…

Q: Let f(x) = x. Use L16 (x) to approximate 16.3 to exactly 6 decimal places. You will be required to…

A: Solution

Q: Show that the differential equation x³y² + x(1+yº)y'′ = 0 is not exact, but becomes exact when…

A: Given DE is  x6y7+x(1+y6)y'=0 ......(1) We first show that differential equation (1) is not exact.

Q: A spinner is divided into five sections, labeled A, B, C, D, and E. Devon spins the spinner 50 times…

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Q: Consider the sequences 2, 5, 12, 29, 70, 169, 408, ... (with ao = :2). (a) Describe the rate of…

A: consider the sequence 2,5,12,29,70,169,408...... (a) describe the rate of growth of this sequence.…

Q: 3. The heights of a stand of pine trees were measured along with the area under the cone formed by…

A: Since u already know a,b,c Let me give u brief answers of them so that we clearly understand d e,f…

Q: 3.) Find the DFT of f = [1 -2 1 2]!

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Q: the country of sokovia regulations states that plate numbers for cars should be composed of 4…

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Q: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: 1/ For any. topological space (X, T), if T has only three elements then (X, T) is connected.

A: For any topological space  (X, T) if T has only three elements then  (X, T) is connected

Q: Question 1 (a) Determine whether the following series converges or diverges, give reasons for your…

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Q: || -1 2 II [1 2 - 4 - 3 2 6 -1 REF of A, what is A13? REF of B, what is B12? AT, what is A¹ 22? 0 -…

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Q: Juan is designing a pool and a deck for his family. The pool has the shape of a cardioid whose…

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