If f is a bijection of A onto B, show that f-1 is a bijection of B onto A.

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Q: ) Compute the smallest prime factor of 2197.

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Q: For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x €…

A: Here we have to find the properties of two sets A and B is A= B.

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Q: A regional municipality is studying a water supply plan for its tri-city and surrounding area to the…

A: Present worth at year 2030Hence, present worth at year 2030 will be $158.147096 million

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Q: 24.6 Let fn(x) = (x − 1)² for x = [0, 1]. (a) Does the sequence (fn) converge pointwise on the set…

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Q: A club N with four members is shown below. N = {Aaron, Brad, Cindy, Dennis), abbreviated as N = {A,…

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Q: 5. Marc is asked to simplify the expression √3-√75. He says that since the radical you -------- ----…

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Q: 1) A) Show that the set of all odd integers is countable, by producing a 1-1 Function F From J onto…

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Q: (7) Let m≥ 1 and let R= {0, 1, 2,...,m - 1}. (a) Prove that if r1, T2 € R and r₁ r2 (mod m), then r₁…

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Q: 18. Determine which of the following functions are one-to-one and which are onto. If the function is…

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Q: Consider the initial value problem Suppose we know that y(t) → 0 as t→∞o. Determine the solution and…

A: Given: The initial value problemSubjected to Also, as

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Q: Let the function x(1) be given by the conditions x (0) = 1 and x (1) = 1x(1) + 2[x(1)]² Determine…

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Q: If X₁ >0 and X₁+₁=2 + x for N> 1, show that is a contractive sequence. Find the limit.

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Q: (c) Find the limit of Σ r=N+l N (3r+1)(3r-2) as N →∞0.

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Q: Given the subspace H a- -4b-2c 2a + 5b-4c -a +2c -3a+7b+6c a) Find a matrix A such that H = Col A.…

A: Given subspace is the following :Now for any reals  (say),a) Then So

Q: S Exercise 6.1.13: Find the inverse Laplace transform of (s²+s+2)(s+4)*

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Q: Find the center of mass of the following solid, assuming a constant density of 1. Sketch the region…

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Q: The sentence (3x) (x ≥ 0 ^ x ≤ 0) (the universe is R) translates into an English sentence as "There…

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Q: Find the inverse of the function on the given domain. ƒ-¹ (x) = f(x) = (x6)², [6,∞)

A: Given function is f(x) = (x-6)2 ,[6, ∞).We have to find out the inverse of f.

Q: 3. Solve the system of congruences Show the steps used. 3x = 2 7x3 8x 7 mod 7 mod 11 mod 19.

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Q: Learning Target N5: I can encode English sentences into numbers and reverse the process. I can…

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Q: Suppose f(x, y) = x² + 2xy + y². Which field plot is Vf? Justify your answer. 7

A: We have to find the field plot of  where

Q: subject : math, differential equations solve the general solution of the inexact differential…

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Q: Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for…

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Q: 2 lim₁ (√√n²+ n-n)

A: The given limit is .The aim is to find the given limit.

Q: Pivot once as indicated in the given simplex cableau. Read the solution from the result. Pivot…

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Q: Question 1.2. Determine the smallest no € No such that n is a sum of 5's and 9's, for all integers…

A: To find:The smallest  such that  is a sum of  and , for all integers .Concept used:The concept of…

Q: Let u4 be a linear combination of {U₁, U2, U3 }. Select the best statement. A. There is no obvious…

A: Given that  be a linear combination of .

Q: rectangular domain R = [0, 3] × [0, 2]. Partition the domain into 6 squares of equal size and…

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Q: 1. Find all solutions of the congruence 5x+3x²+x+3 = 0 mod 30. You should do this by factoring the…

A: The congruence .To Find:Solution of the above congruence.

Q: Given a set A = {1, 2, 3, 4}. Define a relation R on A as: R = {(x, y) | x - y is even} List the…

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Q: Use the binomial expansion to find the order of the following ex- pressions as x → 0. x3/2

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Q: Determine whether there exists an invertible matrix A if A² = AB + 2A, where B is the following…

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Q: Find the roots of the following equation in [-, π], by using the Newton's method with accuracy 10-5.…

A: As asked we shall use MATLAB to find the roots.MATLAB code is as follows.1f = @(x) 2*x^2 -…

Q: Assuming all members are eligible, but no one can hold more than one office, list and count the…

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Q: 6. An object is moving along a horizontal line modelling the position function s(t) = t²-10t; 0 ≤ t…

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Q: Prove that if a = b (mod m) and if c = d (mod m), then a+c=b+d (mod m).

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Q: Exercise 6.1.14: Find the Laplace transform of sin(w(t – a)).

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Q: 16. Let S denote the torus (3 + 2 cos v) cos u (3+2 cos v) sin u 2 sin v and compute the flux…

A: Let S be a torus  ,  and .To Find:Flus integral

Q: Find the inverse Laplace transform L¯¹{F(s)} of the function F(s) L-¹{F(s)} = = 6 (s − 1)³ NOTE: The…

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Q: One root of the equation 2x + x³ + 4x + 2 = 0 is O a) 1/1/2 Ob) -2 Oc) - 1/12 d) 2

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