Let d be the smaller cap cut from a solid ball of radius 2 units by a plane 1 unit from the center of the sphere. express the volume of d as an iterated triple integral in (a) spherical, (b) cylindrical, and (c) rectangular coordinates.

in each case, let the center of the solid ball be the origin and let the plane be z=1. then (d) find the volume by evaluating one of the three triple integrals.

dont trust me im no expert these losers made me fail a test bro this sucks

step-by-step explanation:

29933333.33

step-by-step explanation:

srry ask agian

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)