Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

where are the curves?
im attaching a file :) it had less than equal to signs and what not, so i just thought id attach the file
1 Attachment
Okay so we first plot the functions

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

http://www.wolframalpha.com/input/?i=Plot%5B{5-4cos%5Bx%5D%2Ccos%5Bx%5D}%5D{x%2C0%2CPi%2F2}%5D
whoa, my graph was way off
1 Attachment
no I think your right too
ohh i see your graph has a bigger scale xD
Yes, exactly
okay, so can we set the two equations equal to eachother, to find the boundaries?
actually, if we observe the graph, you see that they don't seem to have any intersection point between the interval 0, pi/2
ooh i thought it intersected near the very beginning cuz it was so close lol
Hold on
kay. normally to find the boundaries of the two curves, you'd set them equal to eachother right? thats what i did with this problem and i ended up getting x = 0, and 2pi
you are right it intersect at 0 http://www.wolframalpha.com/input/?i=Solve%5B5-4cos%5Bx%5D%3D%3Dcos%5Bx%5D%2Cx%5D
The second part ask, should you integrate with respect to x or y what do you think?
i think with respect to x. i honestly dont really know the difference, i usually integrate with respect to x lol ><
Okay,it is a matter of convenience, you can do with either
If we were to integrate with respect to x we can see that cos[x] is always below the other function
However,it get tricker when you try to integrate with respect to y because for all y<1 you will need one integral and all y>1 you will need another integral Do you see why?
is it because the y values for the upper (positive values) differ from the bottom (negative values) ?
oh wait. is it because the highest y value cosx can go is either -1 or 1
and for the other function, it can go higher than that
When you are integrating with respect to x what you are doing is adding up infinite number of verticle strip between two functions from x=0 to x=pi/2
how about when you integrate with respect to y?
Go here http://www.twiddla.com/537036

Not the answer you are looking for?

Search for more explanations.

Ask your own question