Prove the statement using the ε, δ definition of a limit. lim x->2 (x^2-1)=3

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Q: question 3

A: Figure

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Q: Find the derivative of the function. Simplify if possible. y = arccos (e7x) 11

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Q: What present value amounts to $510,912.55 if it is invested for 5 years at 30% compounded…

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Q: Differentiate the function. f(x) = log,(xe*) F'(x) =

A: Consider the function Formulas

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A: The  limit below represents the derivative of a function  at a point .To give the equation for  and…

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Q: Change the order of integration. S J f(x, y) dy dx

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A: Area (A) decreases at a rateDiameter, D=8 cm

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Q: 7. Given the graph: (a) Given P(x) = f(x)g(x), find P′(2) f(x) (b) Given Q(x): find Q'(2) g(x)' =…

A: Given the graph:

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Q: ind the curvature of the space curve. r(t)=-5i + (t+8)j + (In(cost)+1)

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Q: 4. §11.5. Q10. Use appropriate form of the chain rule to find dw/dt. w = √√√1 + x2yz¹x; x = ln t, y…

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Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

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Q: Suppose that Σ an = -3 and n=] ∞ A. Σ(-6an + −8bn) n=1 = B. (-6an +-8bn) n=2 = ∞ n=1 bn = -5 and a1…

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