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)
Answer:
tree sampling: 2 1/4ft
through 1 year grown: 1 1/6ft
after two years growing: 5ft
1 1/6 coverted into a decimal is 0.16
0.16 x 32 = 5.12 (5)
not sure if this is right, but hope it helps
Answer:<u>3</u>
Step-by-step explanation:2+3/2=
3/2=1
2+1=3 Or 3.5
Answer:
I think its d
isn't the inverse the opposite of the original?
If x is number of hours worked and y total pay, in y=9.5x, 9.5 is hourly rate.
Isa's hourly rate is 9.5$.
From the table: for 2 hours worked Jack earns 16.5$, for 5 hours worked 41.25$ and for 8 66$. Jack's hourly rate is 16.5$/2=8.25$.
9.5/8.25=1.15
Isa earns 9.5$ per hour and Jack earns 8.25$ per hour. Isa's hourly rate of pay is 1.15 Jack's hourly rate of pay.
