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Fed [463]
3 years ago
5

A graphing calculator is recommended. For the limit lim x → 3 (x3 − 4x + 3) = 18 illustrate the definition by finding the larges

t possible values of δ that correspond to ε = 0.2 and ε = 0.1. (Round your answers to four decimal places.) ε = 0.2 δ = ε = 0.1 δ =

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

Attached is the detailed solution of the problem

∈ = 0.0081 ≈ 0.2

∈ = 0.0042 ≈ 0.1

Step-by-step explanation:

Attached is the detailed solution of the problem

∈ = 0.0081 ≈ 0.2

∈ = 0.0042 ≈ 0.1

A graphing calculator recommended  was used to arrive at this solution

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Step-by-step explanation:

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svetoff [14.1K]
<h2>Hello!</h2>

The answer is: g(x)=-\sqrt[3]{x-1}

<h2>Why?</h2>

Let's check the roots and the shown point in the graphic (2,-1)

First,

0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1

then,

g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1

So,  we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

(g(x)=-\sqrt[3]{x-1})

Second,

Evaluating the function at (2,-1)

y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1

-1=-1

It means that the function passes through the given point.

Hence,

The equation which represents g(x) is g(x)=-\sqrt[3]{x-1}

Have a nice day!

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3 years ago
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Answer:

heres the answer

Step-by-step explanation:

just graph (2,3)   (3,2)   (4,3)

on a coordinate grid

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