(4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf B ≤ inf A and (b) sup A ≤ sup B.

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A: Option b. 24 is correct.

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Q: (xth

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A: Introduction: The second derivative test is a method for determining the absolute maximum and lowest…

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Q: 11. Prove: If G is a simple connected graph where the average degree of the vertices is exactly 2,…

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Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per…

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Q: 2. A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion,…

A: s(t)= 10-(3-t)^2v(t)= s’(t)= 2(3-t) (a) s(0)= 10-(3-0)^2= 10-9=1 . Thus initially particle is 1 ft…

Q: lim t-→∞ 8 (1²)√42t³ + 25t¹2 + - 7t² t 7835t881t5 + 10t3

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Q: FINAL- Mathematics Together two computers cost $2700 per year to rent. If one costs twice as much as…

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A: This is a problem of the partial differential equations.

Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an ER then la₁ + a2 + (Hint: Use the…

A: To Prove- Prove the Generalized Triangle Inequality: If a1, a2, …, an ∈ ℝ then a1 + a2 + ⋯ + an ≤ a1…

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Q: L{5cosh2t-3sinht} 5s 3 a. s²-4 5s s²-1 3 b. s²+4 5s s²-1 3 C. s²-4 s²+1 5s 3 d. s²-4 s²-1 - +

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 5y – y³ - dx 5x +…

A: To solve the given differential equation.

Q: QUESTION 9 12 Let A = · (2²). 21 9.1 Find the eigenvalues of A. 9.2 Find bases for the eigenspaces…

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Q: Marvin has a Cobb-Douglas utility function, 0.5 0.5 his income is Y = $700, and initially he faces…

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Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: This is a question from Autonomous Differential Equation.

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Q: 12. Z z²+1

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Q: Among all rectangular solids defined by the inequalities 0≤x≤ a, 0sysb, 0szs1, find the one for…

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Q: Suppose each matrix below represents the augmented matrix for a system of linear equations. For…

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Q: Direction: Determine whether the given statement is a tautology, contradiction, or contingency.…

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Q: Q2: find the Laplace of the following functions: (cosw, for 0<t< a- f(x) = TC 2π 0 ,for, < t < ² W

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Q: Show that the substitution = e, y = e converts the equation Т Hu ди дzu ди +y2 +x ду? Әх дх2 ду into…

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Q: ∞ 00 Suppose an>0 and a diverges. Prove that n=1 n =. an contrary suppose Σ an p=g¹ + a₂ converges,…

A: We have given that , an  &gt; 0 Also , ∑n=1∞ an diverges. We need to show that , ∑n=1∞ an1 + an…

Q: Describe the level curves of f(x, y) = x + 2y Sketch the level curves for c = ±1, ±2, ±3, ±4.

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Q: Find the volume generated by revolving the area bounded by the given curve and a. y = x³, x = 0, y =…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: find the value of function using integrate