What Function Determines the Height of a Rectangle with Variable Base Length?

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In summary, the conversation discusses a problem related to the area of a rectangle with a specific positioning. The participants discuss the level of math involved and clarify that the problem may require finding the four inequalities or the area of the rectangle. They also consider the restrictions and the function needed for the height of the rectangle sides.
  • #1
Liquidice_69
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  • #2
No, it doesn't have anything to do with a circle, it has to do with the area of a rectangle. Could please give us the entire problem. There are an infinite number of rectangles that could be positioned as you show it.
 
  • #3
What level math are you in?
That picture wouldn't hurt.
 
  • #4
Not a lot. First you ask for the "equasion of the shaded box". A box does not have "an equation". You might want the four inequalities that are satisfied by points in the box or you might want the area of the box. I don't know what you original problem asked for- "the equation of the shaded box" just doesn't mean anything! One problem I think you could answer is "what is the area of the largest box of this form".
 
  • #5
What restrictions give the length of each side of the rectangle?
The base goes from -x to x, whos length is (2x). What function gives the height of the sides of the rectangle for [itex] x = x_i [/tex]
 

1. What is "More Trig Graph included"?

"More Trig Graph included" is a phrase that refers to the addition of more trigonometric graphs in a given context. It could mean additional graphs to a set of existing graphs, or an increase in the number of graphs displayed in a particular study or presentation.

2. Why are trigonometric graphs important?

Trigonometric graphs are important because they visually represent the relationships between the sides and angles of a triangle. They are used in many fields such as engineering, physics, and astronomy to model and solve real-world problems involving angles and periodic functions.

3. What are the key features of a trigonometric graph?

The key features of a trigonometric graph include the amplitude, period, phase shift, and vertical displacement. The amplitude is the height of the graph, the period is the length of one complete cycle, the phase shift is the horizontal translation of the graph, and the vertical displacement is the vertical translation of the graph.

4. How do you read a trigonometric graph?

To read a trigonometric graph, you must first identify the key features mentioned above. Then, starting from the origin, determine the direction and length of the graph for each cycle. The x-axis represents the angles, while the y-axis represents the values of the trigonometric function.

5. How are trigonometric graphs used in real life?

Trigonometric graphs are used in various real-life scenarios, such as predicting ocean tides, analyzing sound waves, and designing roller coasters. They are also used in navigation and surveying to determine distances and angles. In addition, they are used in the study of natural phenomena, such as the motion of planets and the behavior of waves.

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