Question 1 CD Assume that "Foo is a function defined by Foo = x²-3x+1 288-1 For a ≤x≤3 Prove that fod is bounded for all x satisfying 2≤x≤3 i let 900 = 5x with obomain [xlx20] and let Eo be given. For each co show that there exists a 5 such that Ix-cl≤5 implies 155x-Jol≤E.

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A: We need to choose correct option.

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Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

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A: We have to find the asymptote of function and graph

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Q: Find the average value of f(t) = -2te Answer: -0.63 on the interval [0, 1].

A: topic- average value of function over interval

Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

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Q: 2. Evaluate x sin ædr using integration by parts.

A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

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A: This question can be solved using area bounded by curves.

Q: Ju udv = Uv -Ivdu to Explain why the substitutions below are inappropriate. Let du: = x dx 1.…

A: We can explain why the substitution is inappropriate in the following steps.

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Q: 4) Determine the value of the 4) -2 6)-1 c) o d) 1 I'm 10,0 хсу e) DNE xy 2x² √x² + y²

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Q: Question 16 Find e > 0 such that the area of the region enclosed by the parabolas y = 2²-² and…

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A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the point…

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A: According to company rule we can answer only first question and rest can be reposted.

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Q: 3. Find 1. Lim f(x) 2. Lim f(x) 3. Lim f(x) 4. Lim f(x) n→∞0 n→ ∞ n→0+ n→0- x < 0 When f(x) = -&…

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Q: 1. f(x) = cos (-:-)

A: From graph, it is clearlimx→∞cos1x =limx→-∞cos1x = 1

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Q: Find the general solution. ورم

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Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ - sin 2x + 1,…

A: A boy is pushing a box with a force that can be described by the function:fx=x3-sin 2x+1, where x is…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.

Q: 11. S x + 4 x² + 5x - 6 dx

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Q: 6. a) x = -6 b) x = 1 c) x = = /² Determine the derivative of the curve with equation y = 4²x a) 4²x…

A: Given query is to find the derivative.

Q: Convert the following parametric curve into Cartesian form: x=2 sint, y = 3 sin t O 3x² + 2y² = 1 O²…

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