Rotating the Line y=-1 in Bounded Region R (y=9-x^2, y=0, x=0)

In summary, the conversation discusses calculating the rotation of a line within the bounded region R, with consideration for the outer and inner radius. The incorrect initial calculation of a negative radius was corrected to 1 and 10 - x^2, respectively.
  • #1
xstetsonx
78
0
Consider the region R bounded by y=9-x^2, y=0, x=0. rotate the line y=-1

I am not sure about the bounds. The outer radius is -1 , and the inner radius is -10+x^2 right? but after i do the calculation i got a negative value. does that mean i got the radius wrong?
 
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  • #2
Hi xstetsonx! :smile:

(try using the X2 tag just above the Reply box :wink:)
xstetsonx said:
Consider the region R bounded by y=9-x^2, y=0, x=0. rotate the line y=-1

I am not sure about the bounds. The outer radius is -1 , and the inner radius is -10+x^2 right? but after i do the calculation i got a negative value. does that mean i got the radius wrong?

How can a radius be negative? :confused:

The inner radius is 1 , and the outer radius is 10 - x2. :smile:
 
  • #3
hahahaha omg i am an idiot hahahaha
 

What does it mean to rotate a line in a bounded region?

Rotating a line in a bounded region means to transform the line by rotating it around a fixed point within the specified region.

What is the purpose of rotating a line in a bounded region?

The purpose of rotating a line in a bounded region is to visualize and analyze the relationship between the original line and its transformed position. This can also help in solving mathematical problems involving rotations.

What are the steps to rotate a line in a bounded region?

To rotate a line in a bounded region, the following steps can be followed:

  1. Identify the fixed point or center of rotation within the bounded region.
  2. Plot the original line and the bounded region on a coordinate plane.
  3. Using a protractor or ruler, draw the rotated line by measuring and marking the angle of rotation from the original line.
  4. Connect the marked points to create the rotated line.

What is the equation of a rotated line in a bounded region?

The equation of a rotated line in a bounded region depends on the angle of rotation and the coordinates of the original line and the fixed point. It can be determined using rotation transformation formulas.

What are the applications of rotating a line in a bounded region?

Rotating a line in a bounded region has various applications in different fields, including geometry, physics, and engineering. It is used to solve problems involving rotations, create visualizations of 3D objects, and design mechanical and industrial structures.

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