A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given that the available materials for the fence are good for 24m, what dimensions will produce a maximum area for the fence? What is/are the function's critical point/s

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A: We solve the 1st  problem by making it exact form .  and solve the 2nd problem by using C.F and P.I…

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Q: et A = {3x|x e N and x < 5}

A: SOLUTION: The given set is A={3x | x ∈N and x &lt;5} .

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Q: Universal Set { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 1, 3, 6, 8, 10} and Set B – { even number…

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Q: Task 4.Determine the relations' composition table VI 2 2 IV

A: Composition table   ≤ ≥ ≤ ≥ ≤ ≥ ≤ ≥

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A: Using the parametric equation of circle, x=r cost,y=r sint where t is an parameter. in our case r=1…

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A: Let the line passes through the point A(k+1,2k) making angle with the positive direction of the…

Q: ) Use partial derivatives to determine if the demand functions for two commodities represent a…

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Q: For the function f(x) = 2 logx, estimate f' (1) using a positive difference quotient. From the graph…

A: The given function fx=2 logx. We have to estimate the value of f'1 using a positive difference…

Q: 3. Let U = {p, q, r, s, t}, D = {p, r, s, t}, E = {q, s}, F = {p,t} and G = {s}. Determine whether…

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Q: 4. Give the lattice of subgroups of D₁.

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Q: 1. Prove each of the following for a metric space (X, d): (i) A set A C X is closed if and only if…

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Q: P2. Find the following Integrals (Inx) ³/2dx a) e x tan-¹(x) dx 1+x² sin³ (x/2) dx b) c) d) fsin³…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted .

Q: Problem 2: Let U be a finite-dimensional subspace of V. Let W be a subspace of U. Let Pru, Prw €…

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Q: Suppose that Ramos contributes $5500/year into a traditional IRA earning interest at the rate of…

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Q: Find the following matrix product, if it exists. 5 1 1 032 Select the correct choice below and, if…

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Q: 1 xP In(x) se the Comparison Test to determine for what values of p the integral Jse symbolic…

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Q: 3. Determine the truth value of each of the following quantified statements. If a universally…

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Q: t of all 3 x 3 matrices with real 1 0 Lo b a 1 C 0 1 iplication is defined by 1 a' b' 61-6 01 c'…

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Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² -…

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Q: Evaluate: 3 €I: x + 1 > x + 1 True O False Q2 Evaluate: 3 € I: Vy I: (x²y < y² + 1) True O False

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Q: 5. dy dt = = 2y+3e2t, y(0) = 1.

A: Differential equations

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Q: Describe the local and end behavior of the function. f(x)= 2x / x+3 lim x→ −3− f(x)=   lim x→ −3+…

A: Given function is fx=2xx+3 . We have describe the local and end behavior of the function.