3. (i) Construct a set S₁ C R so that sup S₁ exists and sup S₁ ‡ S₁; (ii) Construct a set S₂ CR so that S₂ is bounded above but not bounded below.

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y = −10x +…

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Q: Write the rational number -3.453453453... in the form, a / b where a, b are two integer numbers.…

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Q: 3. Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

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Q: the cylielied 1.15) EXPRESS THE VECTOR K = (x^²√²³y + xy²5₂ coorddicta syster & eveluet it at the…

A: x=ρcos⁡ϕ  ,  y=ρsin⁡ϕ  ,  z=zThe position vector, r→=x ax→+y ay→+z…

Q: For each f(n) below find the simplest function g(n) such that f(n) - 0(g(n)). (a) f(n) – Σ (b) f(n)…

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Q: (a). 2t²u" + 3tu'- u = 0,t> 0

A: The given differential equation is,let us substitute t=ez so z=logt and hence

Q: Use Laplace transforms to solve the following system: x+y=d[(1-7) 2 →y(0)= y(0) = 0 where 8(t)…

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Q: Consider the operator 10 0 Sh 0 0 0 0 0 −1 What is the expectation value of S for the state 9ħ/14…

A: The expectation value of the operator  S  for the state  ψ  is given by  < ψ | S | ψ > .

Q: The math problem is (3xy^2-2y^3+3)dx = (-x^3+6xy^2-2y)dy  I believe this is a Exact Differential…

A: We have to show that given differential equation is either exact or not.

Q: Find a solution to the initial value problem that is continuous on the interval [0, 2π] where y(t) =…

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Q: 4: Ex 4.) Let S be a non empty bounded set in R. a ( a. Let azo, and let oS := {as: SES}. Prove that…

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Q: Solve the ODE dy dt - ty = t.

A: The given differential equation:To Find:Solve the above differential equation.

Q: Sketch the graph of the function. x + 7, g(x) = 플x-4, 2 x -2

A: The given function,The aim is to sketch the graph of the function.

Q: An architect is designing a two-story house that is located at 40°N latitude. The architect wants to…

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Q: What value(s) of & are an appropriate choice when proving the following limit? _lim_ (x² +7x) -6…

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Q: Can you please help me explain further to more than three types of symmetry (rotational,…

A: Given that:1. Hexagonal Rotational Symmetry in a Beehive Honeycomb Beehive honeycombs are…

Q: ((A ≥ ^x) ← (0 < ^))^ẠxЕ (P) ((₂₁ < ₂x) + ( < x))XA^A (³) ((₂₁ < ₂.x) (₁ < x))^ЕXA (9) (0<l·x)xĒNĀ…

A: .

Q: Evaluate: In(1+i)

A: Let us take,now, substitute On squaring and adding these terms,we havenow on dividing the terms ,…

Q: It can be shown that all solutions of 5y' + ty = 3 approach a limit as t→∞. Find the limiting value.…

A: Given differential equation isRewrite it,

Q: Question (a) Find d'Alembert's solution, u(x, t), to the following wave equation. -∞ Utt = Uxx ,…

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Q: Rate of Change and Linear Function A higher proportion of 18- to 24-year-olds live with an unmarried…

A: Percentage of people living with spouse in 1968 = 39.2%Percentage of people living with spouse in…

Q: 2) if A = i +) - SK and B = 2i+j-K find Proj(A) | Proj(A) ? and

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Q: Find the general solution of the differential equation xy' - 6y = x², x > 0.

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Q: 9. Let f(x) = x². Compute a value & such that if |x-1|<d then 2² -1 <. The question is illustrated…

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Q: Which of these would correctly evaluate the volume of the solid that results when the region bounded…

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Q: 2 Consider the three matrices 2 1 1 3 21 212 A = B = 2 -3 1 -1 -1 (30) G -4 2 1 1 C = (b) Hence…

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Q: Tyler wants to calculate his grade in his accounting class. His test grades are a 77%, 62% 85%, 80%.…

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Q: (1). The following series does it converge? (a). Σo(54)". 5i

A: As per the guideline, I am supposed to solve only first question from the given problems.

Q: Determine whether the equation is exact. If it is, then solve it. 2x (3) dx - y² dx - 7y- dy=0…

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Q: The Fibonacci numbers are a sequence numbers defined by F₁ = 1, F₂ = 1, and Fn = Fn-1 + Fn-2 for n ≥…

A: Since, the Fibonacci number is defined as F1=1,F2=1 and…

Q: 4.5.b.2 The binary value within each location can be interpreted in many ways. We have seen that…

A: To interpret location 4 as an ASCII value, we need to convert the binary value at that location into…

Q: Exercise 10: Show that if A and B are bounded subsets • bounded set. Show that then AUB is a of IR,…

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Q: A recipe requires 1/4 of an onion to make 3 servings of soup. Mark has 1 1/2 lbs. of onions. How…

A: A recipe requires lbs of an onion to make  servings of soup.Mark has  lbs. of onions.The aim is to…

Q: Suppose that R³ is given the norm ||(x, y, z) || = |x|+|y| + |2| and let S = {(x, y, z) = R³: 2x + y…

A: Given that R3 has a norm ||(x,y,z)||=|x|+|y|+|z|.The given set is S={(x,y,z)∈R3:2x+y−3z=0}.Now…

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

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Q: the number represented on the abacus

A: first column have 2 beads up so first digit is 2second column have no beads up so second digit is…

Q: Write down two things around you that shows more than three types of symmetry (rotational,…

A: Given problem is:Write down two things around you that shows more than three types of symmetry…

Q: (b.2): ax (bx c) = b(a c) — c(a - b)

A: We have to show

Q: 6- Find the work done to turn a particle around a circle in the n plane, whose center is the origin,…

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Q: Find the unique solution to the 2nd order nonhomogeneous IVP. ODE: y" - 2y' - 3y = 8e* - 20 sin x…

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Q: Simplify (q^(mv-q)) to ¬qv-m Distributive (аль) (алс) (avb)^(avc) Commutative avb аль De Morgan's…

A: We have to simplify  to  .We know that the following laws

Q: Let U = {1, 2, 3} and A = U × U. In each case, show that = is an equivalence on A and find the…

A: Given Information: and There are four different types of relations given.To find: is an Equivalence…

Q: Exercise 1.5.1 Determine which matrices are in reduced echelon form. (a) (b) (c) [6 120 017 1000…

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Q: Consider the initial value problem y' + y = 9+2 cos 2t, y(0) = 0. 2 a) Find the solution of this…

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Q: QUESTION 9.42 If you know that f is the fourier series of the following: g(t) = {5, -7 < t <0…

A: Let g(t) be a function with period 2P. g(t) is piecewise continuous and integrable.Then the Fourier…

Q: Three hundred one TCC faculty members were surveyed regarding their plans for the upcoming weekend.…

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Q: 6. 4 to toto to sa is to be a f The graph above shows the base of an object. Compute the exact value…

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Q: Problem 4: Find the inverse of the following matrices, using the Gauss-Jordan method. [1 C = 3 12 2…

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Q: Functions to power series Find power series representations centered at 0 for the following…

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Q: 2] (A) Evaluate the integral , Ixyz] dV where V is the solid + ≤1

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