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.

13,435 questions

17,804 answers

1,438 comments

97,175 users

Sketch the region enclosed by the given curves and find its area.

0 votes
Sketch the region enclosed by the given curves and find its area.

y = sec^2 x,     y = 8 cos x,      - π/3 ≤ x ≤ π/3
asked Jan 24, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The curve equations are image and image and image.

Graph the curves image and image.

image

Observe the graph:

The area of the region is 10.383 sq-units.

Step 2:

Area of the region is image.

Observe the graph:

Upper curve is image.

Lower curve is image.

image

image

Area of the region is 10.392 sq-units.

Solution:

Region enclosed by the curves image and image is

image

Area of the region is 10.392sq-units.

answered Feb 2, 2015 by Lucy Mentor

Related questions

asked May 15, 2015 in CALCULUS by anonymous
asked May 15, 2015 in CALCULUS by anonymous
asked May 15, 2015 in CALCULUS by anonymous
...