Answer:
58.5 mg
Step-by-step explanation:
Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5
So, this new drink has 58.5 mg of vitamin
Answer:
Step-by-step explanation:
Consider the graphs of the 
and 
.
By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.
then 
o 
. Therefore the integration limits are:
and 
The inverse functions are given by:
and 
. Then
The volume of the solid of revolution is given by:
![\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B2%5Csqrt%7By%7D%20-%20%5Cfrac%7By%7D%7B4%7D%5D%5E%7B2%7D%20%20dy%20%3D%20%5Cint%5Climits%5E%7B64%7D_%20%7B0%7D%20%5C%2C%20%5B4y%20-%20y%5E%7B3%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B2%7D%7D%7B16%7D%20%5D%5C%20%20dy%20%3D%20%5B2y%5E%7B2%7D%20-%20%5Cfrac%7B2%7D%7B5%7Dy%5E%7B5%2F2%7D%20%2B%20%5Cfrac%7By%5E%7B3%7D%7D%7B48%7D%20%5D%5Climits%5E%7B64%7D_%20%7B0%7D%20%3D%20546.133%20u%5E%7B2%7D)
Make 3.0035 into a proportion, or over 1000000, to make it a whole number. 30035/1000000.
B. They intersect at one point
Cut it up
1 cylinder and a half sphere
V cylinder=hpir^2
Vsphere=(4/3)pir^3
find each
H=7
r=4
sub
Vcylinder=7pi4^2
V=7pi16
V=112pi
Vsphere (multiply by 1/2 later)
V=(4/3)pi4^3
V=(4/3)pi64
V=(256/3)pi
V=85.33333333333333pi
multply by 1/2 since 1/2 sphere
V=42.6666666666pi
add them
Vclliner+1/2sphere=112pi+42.66666666666pi=154.666666666666pi
pi=3.14 for problem
Vtotal=485.6533333333333333333
hundreth
V=485.65 in^3
