Find the points of intersection of the curves y=2sin(x-3) and y=-4x^2+2?

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Homework Help Overview

The discussion revolves around finding the points of intersection of the curves defined by the equations y=2sin(x-3) and y=-4x^2+2. The original poster expresses a desire to understand how to approach this problem algebraically without the aid of a graphing calculator.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the feasibility of solving the problem algebraically versus using numerical methods. There is mention of iterative methods and the potential use of approximations or special functions. Some participants express confusion about what numerical methods entail, specifically questioning methods like the bisection method and Newton's method.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. There is a clear lack of consensus on the best method to use, and several participants are seeking clarification on numerical methods and their application in this context.

Contextual Notes

The original poster notes a specific constraint against using a graphing calculator, which shapes the nature of the discussion and the methods being considered.

Yummys
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Can someone do it without using a graphing calculator? The question specifically states not to use "Trace". I don't understand how to do it algebraically, and I'd love it if someone could teach me. Please and thanks!
 
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Well you can't solve it algebraically, you can solve it using a numerical method or if you use approximations or maybe some special function (which I am most likely unfamiliar with).
 
rock.freak667 said:
Well you can't solve it algebraically, you can solve it using a numerical method or if you use approximations or maybe some special function (which I am most likely unfamiliar with).

A numerical method? Like, plugging in numbers? Sorry I'm lost.
 
Yummys said:
A numerical method? Like, plugging in numbers? Sorry I'm lost.

Do you know bisection method? Newton's method?
 
Yummys said:
A numerical method? Like, plugging in numbers? Sorry I'm lost.

You can use iterative methods which essentially like guessing but the iterations would converge to the points you want to a certain degree of accuracy.
 

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