Newtons Method: P_t(t)= 300/{1+e^-(t-30)} + 30, N(t)=8e^{0.085t}

[Anthony2233]

Hi Guys, my first time posting to sorry if this is the wrong area to post.

So this is the question problem: NEWTONS METHOD - Iterative process

Pt(t)= 300/{1+e^-(t-30) } + 30
N(t)=8e^{0.085t (Assume initial value of the tapir is 8)}

Show the iterative process used, in months, days, hours, (assume that there is 30 days in a month)

Basically I'm consumed as to where as to start, I think you are suppose to use the table but I am not sure.

Thanks I really need hekp with this question and if anything in the question is unclear please reply!

Note: The / in the equation means it's a fraction

 

[Deleted member 4993]

Hi Guys, my first time posting to sorry if this is the wrong area to post.

So this is the question problem: NEWTONS METHOD - Iterative process

Pt(t)= (300/1+^-(t-30) +30
N(t)=8e^{0.085t (Assume initial value of the tapir is 8)}

Show the iterative process used, in months, days, hours, (assume that there is 30 days in a month)

Basically I'm consumed as to where as to start, I think you are suppose to use the table but I am not sure.

Thanks I really need hekp with this question and if anything in the question is unclear please reply!

Note: The / in the equation means it's a fraction

Please check the equation of Pt(t) that you have posted. It has mis-matched parenthesis(). Please check your post and correct it.

 

[Anthony2233]

Edited

Please check the equation of Pt(t) that you have posted. It has mis-matched parenthesis(). Please check your post and correct it.

Oh sorry the ( was not meant to be there, edited the post should be correct now

 

[Deleted member 4993]

Oh sorry the ( was not meant to be there, edited the post should be correct now

I am afraid it is still not correct!

It should be written as (in ASCII format):

Newtons Method: P_t(t)= 300/{1+e^-(t-30)} + 30, N(t)=8e^{0.085t}

What are P_t(t) and N(t)?

Please post the complete problem. The picture is too small to decipher.

 

[Anthony2233]

I am afraid it is still not correct!

It should be written as (in ASCII format):

Newtons Method: P_t(t)= 300/{1+e^-(t-30)} + 30, N(t)=8e^{0.085t}

What are P_t(t) and N(t)?

Please post the complete problem. The picture is too small to decipher.

Hopefully this is clear

 

[Anthony2233]

Clearer Picture

I rewrote it:

Newton's Method: Iterative Process

There are two population models:

. . . . .\(\displaystyle P_t(t)\, =\, n(t)\)

. . .\(\displaystyle \mbox{where:}\)

. . . . .\(\displaystyle P_t(t)\, =\, \dfrac{300}{1\, +\, e^{-(t-30)}}\, +\, 30\)

. . . . .\(\displaystyle n(t)\, =\, 8\, e^{0.085t}\)

(Assume initial number is 8, and assume there are 30 days in a month.)

Show the iterative process used, in months, days, and hours.

There are times when the population will be the same for both models being used.

 

[Deleted member 4993]

I rewrote it

So you need to calculate the value of 't' when:

P_t(t) = n(t)

F(t) = P_t(t) - n(t) = 0

Thus you need to calculate the "roots" of F(t).

Now you tell us what you have learned about Newton's method (of calculating roots of non-linear equation).