Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Calcmathlete
Group Title
What is the difference between finding a solution graphically, numerically, and algebraically?
 2 years ago
 2 years ago
Calcmathlete Group Title
What is the difference between finding a solution graphically, numerically, and algebraically?
 2 years ago
 2 years ago

This Question is Closed

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
example: find the solutions to x^3 + 3x^2 17x + 9 = 0 1. graphically: draw a graph and observe where it crosses the xaxes 2. numerically: use the NetwtonRaphson method to iterate to each root starting with a guess 3. algebraically: use the formula for cubic equations to find the roots.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
the algebraic method is the only one that will give you an "exact" solution
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Well, it's mainly my trouble of differentiating between numerically and algebraically because I have to find the solution both ways...the actual problem involves a sinusoid and the line y = 6. I can solve for x in the equation, but I don't know what the numerical way would be.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
have you been taught any numerical methods?
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Well, the textbook says to use a calculator and use the intersection function, but my teacher says don't use a calculator.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
so, just to be clear, you have something to solve and you know how to solve it algebraically but are looking for a way to solve it numerically without using a calculator?
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Yes. THat is the problem. lol. I don't exactly know what it means by numerically, so you can see the problem XD
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
well in this case I would say your teacher may have made a mistake. for a numerical solution you need to use some method that eventually iterates to the correct answer. one such method is the NewtonRaphson method (described here: http://en.wikipedia.org/wiki/Newton%27s_method). some calculators have this builtin, so you can just enter the equation that needs solving and they will execute the most appropriate numerical algorithm to get the answer. does that explain it better?
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
a numerical method is basically some algorithm that guarantees that it will converge to one or more solutions of a given problem.
 2 years ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.1
each algorithm has its restrictions  so you need to make sure the problem you are solving satisfies the restrictions of the algorithm otherwise it will not converge to a solution.
 2 years ago

Calcmathlete Group TitleBest ResponseYou've already chosen the best response.0
Well, I guess that I'll just ask my teacher tomorrow since I never learned that method. I think I understand what it means to solve numerically now, but I think that we do indeed need a calculator now...I'll see tomorrow. Thank you. :)
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.