Farthest Distance of Mass From Origin

[nycmathguy]

I say the mass is farthest from the origin at the point (8, 4).

Textbook answer for Part (c):

t = 0, t = 2, t = 4, t = 6, and t = 8.

In other words, the even numbers in the interval
[0, 8].

Why is my answer wrong?

 

[MathLover1]

the point (8, 4) is correct

 

[nycmathguy]

the point (8, 4) is correct

The point (8,4) is correct. Are you saying that the textbook answer is wrong?

 

[MathLover1]

The point (8,4) is correct. Are you saying that the textbook answer is wrong?

no, I just confirmed your answer

 

[nycmathguy]

no, I just confirmed your answer

Is the mass farthest from the origin for all even numbers between 0 and 8?

If the point (0, 8) is truly farthest from the origin, then what's the purpose for listing even number values of t on the interval [0, 8]?

 

[MathLover1]

if you convert the interval [0, 8] to an inequality, then you use the inequality to build a set
\({x| 0≤x≤8} \)

so, all even numbers between \(0\) and \(8\)

 

[nycmathguy]

if you convert the interval [0, 8] to an inequality, then you use the inequality to build a set
\({x| 0≤x≤8} \)

so, all even numbers between \(0\) and \(8\)

Ok. Larson does not say that at all. I guess he assumes precalculus students know this fact already. If my roommate does not come home tonight, I will post one more SHM problem with 5 parts.