Question

challenge # 2

Answer 1

Even calculus English muffins are circular and have an approximate diameter of 3.5 inches. Position an English muffin half on the coordinate axes where its center is at the origin.

a) What is the equation of the English muffin half?

b) Create a graph of the English muffin half, making certain that it actually looks circular. Include screen shots of the graph and the equation(s).

c) Explain and illustrate how to use calculus to compute analytically the area of the English muffin half.

d) Exactly how much area must you cover if you spread peanut butter on top of the English muffin half.

e) If you are running low on peanut butter, justify whether you should you have toast or an English muffin half.

Answer 2

@satellite73 can u solve this

Answer 3

yep

Answer 4

sweet...goahead if u like

Answer 5

which calc is this for 1,2,3?

Answer 6

1 maybe 2

Answer 7

ok so no polar coordinates then?

Answer 8

i guess never heard abt it

Answer 9

k let me redo it

Answer 10

ok thx

Answer 11

@satellite73 need ur help

Answer 12

k here is the link to the first half- http://www.educreations.com/lesson/view/best-math/5814419/

Answer 13

if you need help with the integration let me know

Answer 14

to get the toast part you need to know the size of the toast

Answer 15

how wud u get equation

Answer 16

other correction i assumed half meant semicircle, not cut/slice just double the answer for the other half

Answer 17

i explained that in the video,

Answer 18

wow ur video is awesome

Answer 19

oh thanks

Answer 20

so for c i wud just integrate the formula right, i knww how to integrate

Answer 21

so for d how much area we must cover and wht abt e...i m confused in tht too

Answer 22

that is actually d. c only asks you to explain how you would do it both graphically and analytically, but yes the integration is tricky to some extent but as long as you know how to do that you are home free

Answer 23

ohk wait so the answer is i replace r with 1.75 and then integrate it and i wud get d

Answer 24

well d is the def of an integral-the area under the curve. That is why we are forced to do them. Eventually you will apply this to velocity, acceleration, jerk and jounce

Answer 25

yes.

Answer 26

so whts the upper and lower limit

Answer 27

what values is x restricted to?

Answer 28

- and + 1.75?

Answer 29

yep good job

Answer 30

ty..and for e we should have muffin right

Answer 31

well it depends on the size of the bread lol

Answer 32

its 4.9 i guess the area of bread

Answer 33

I would then say that so long as the integral of the area of the bread(assume it is a perfect square) is less than that of the muffin, go with the bread but if it is greater, then your calculated integral for the SA of the muffin then pick the muffin

Answer 34

oh never mind got it....so the area above the muffin is just the integral of d?

Answer 35

yes or no

Answer 36

area below the curve is equal to the area of the half muffin

Answer 37

key words- BELOW the CURVE

Answer 38

it is important terminology

Answer 39

so how we find are above the curve

Answer 40

that is an infinite area because the coordinate plane is infinite

Answer 41

ok ur smart thanks

Answer 42

np happy to help

Answer 43

hey hey hey wait muffin is circular so it cant be infinite it wud look something like this