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Find the points of intersection of the graphs of the equations.

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Find the points of intersection of the graphs of the equations.

asked Feb 18, 2015 in CALCULUS by anonymous

2 Answers

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Step 1:

The curves are image and image.

Let the interval be image.

Find the intersection points by equating the two curves.

image

General solution of image is image, where n is an integer.

image

If image then image

image is not considered as image.

If image then image.

image and image

image and image

image is not considered as image.

The intersection points are image and image.

answered Feb 20, 2015 by Lucy Mentor
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Contd...

Step 2:

To find the third point of intersection, replace image by image and image by image.

Consider image.

Replace image by image and image by image.

image

Find the intersection points by equating the transformed curve with the curve image.

image

General solution of image is image, where n is an integer.

image

If image then image.

If image then image.

image is not considered as image.

The intersection point is image.

The intersection points are image,image and image.

Solution:

The intersection points are image,image and image.

answered Feb 20, 2015 by Lucy Mentor

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