Estimate Quantities

[nycmathguy]

Set 1.5
David Cohen
Question 40

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

 

[MathLover1]

a)

given:

and

=> means x=2

=> y approximately around 1.25

using calculator: y=1.2599210498948731647672106072782283505702514647015079800819751121
so, pretty close

 

[nycmathguy]

a)

given:

and

=> means x=2

=> y approximately around 1.25

using calculator: y=1.2599210498948731647672106072782283505702514647015079800819751121
so, pretty close

Cool. I will try the rest when time allows.

 

[nycmathguy]

a)

given:

and

=> means x=2

=> y approximately around 1.25

using calculator: y=1.2599210498948731647672106072782283505702514647015079800819751121
so, pretty close

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.

 

[MathLover1]

correct

 

[nycmathguy]

correct

Thank you. I hope you are having fun going through the Ron Larson textbook. We have a long way to go but notice that I have skipped many common precautions topics along the way thus far. This is because it makes no sense to post questions that I already know how to solve.