Calculating the Year Using the Gregorian Calendar

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1. So the question for one of the problems(My teacher made up the problem which is divided into parts but I just had a question in one of them) So the problem is let h = 3+(the last digit of the year in which you were born). Use the conventional Western (Gregorian) calendar to determine the year.


3. I tried looking it up and it seemed the year doesn't change for the gregorian calender. In my case my birthday is in 1994. So would it just be h = 3+4 = 7. So h = 7?
 
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hungrymouth said:
1. So the question for one of the problems(My teacher made up the problem which is divided into parts but I just had a question in one of them) So the problem is let h = 3+(the last digit of the year in which you were born). Use the conventional Western (Gregorian) calendar to determine the year.


3. I tried looking it up and it seemed the year doesn't change for the gregorian calender. In my case my birthday is in 1994. So would it just be h = 3+4 = 7. So h = 7?

I can't see anything wrong with that. But why is this a calculus question?
 
Well it's because that value h will be used along with value k and z to calculate the sphere of an equation and using to state whether the spheres intersect each plane. So my h value has to be right. I just wanted to verify if I was doing it correctly. It's vector calculus.
 
hungrymouth said:
Well it's because that value h will be used along with value k and z to calculate the sphere of an equation and using to state whether the spheres intersect each plane. So my h value has to be right. I just wanted to verify if I was doing it correctly. It's vector calculus.

Oh, so it's just a trick to make sure not all of the students get exactly the same question?
 
Yep that's basically it!
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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