Estimate Quantities

Discussion in 'Other Pre-University Math' started by nycmathguy, Aug 11, 2021.

1. nycmathguy

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Set 1.5
David Cohen
Question 40

Do part (a) as a guide for me to do parts (b) & (c).

nycmathguy, Aug 11, 2021
2. MathLover1

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a)

given:
and => means x=2

=> y approximately around 1.25

using calculator: y=1.2599210498948731647672106072782283505702514647015079800819751121
so, pretty close

MathLover1, Aug 11, 2021
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3. nycmathguy

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Cool. I will try the rest when time allows.

nycmathguy, Aug 11, 2021
4. nycmathguy

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Part (b)

Let cr = cube root.

y = cr{x} = cr{5}, which means that x = 5.

Let cr{5} be 5^(1/3) = 1.7099759467.

Part (c)

y = cr{x} = cr{6.5}, which means x = 6.5.

Let cr{6.5}= (6.5)^(1/3).

Do, (6.5)^(1/3) = 1.8662555784.

Last edited: Aug 11, 2021
nycmathguy, Aug 11, 2021
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5. MathLover1

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correct

MathLover1, Aug 11, 2021
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