Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,459 questions

17,854 answers

1,446 comments

807,767 users

Find the curvature K of the curve at the point P.

0 votes

Find the <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> curvature K of the curve at the point P.

asked Feb 18, 2015 in CALCULUS by anonymous
reshown Feb 18, 2015 by goushi

1 Answer

0 votes

Step 1 :

Formula for the curvature in the plane or in space :

image

Step 2 :

The function is and the point is .

Compare with .

and .

Substitute the point in .

The function is .

Apply derivative on each side with respect to t.

Substitute in above equation.

image

Find the magnitude image :

Substitute in above equation.

image

Step 3 :

Differentiate with respect t.

At , image.

Find the cross product image :

image

Find the magnitude image :

image

Curvature is image

Substitute image and image in above equation.

image

The curvature is image

Solution :

The curvature is image

answered Feb 19, 2015 by Thomas Apprentice

Related questions

...