First let's move change the coordinate system so that the rotation axis becomes y
then f(x)=`16x becomes f(x)=16(x-2)=16x-32, y=0 stays as it is but x=1 becomes x=3
then we apply the formula for cyl shells method:
V=integral 2 to 3 (2pi*x*f(x))dx = int 2-3 (2pi*x*16x-2pi*x*32)dx=
int 2-3 32pi*x^2 dx - int 2-3 64pi*x dx = 2-3| 32pi*x^3/3 - 32pi*x^2 =
32pi*27/3 - 32pi*9 - 32pi*8/3+ 32pi*4 = 32pi*(9-9-8/3+4) = 32pi*4/3 = 128pi/3
The answer is roughly 103 square feet.
You can get this by first transforming the measurements using the scale factor. To do this, we need to multiply each measurement by 30.
5.5 in * 30 = 165 in
3 in * 30 = 90 in
Now we have the measurements of the room, we can multiply to find the area.
90 in * 165 in = 14850 square inches.
Now to turn this into feet we need to divide by the number of square inches in a square foot (144).
14850 square inches/ 144 = 103 square feet
Answer:
Step-by-step explanation:
5/6 x 18 = 5 x 18/6 = 5x3 = 15
The slope intercept form of the equation of a line is given as:
y = mx + c
where m = the slope of the line
c = the y - intercept of the line
1) Two line are parallel if they have the same slope
That is:
2) Two equations are perpendicular if the slope of one is the negative inverse of the other.
3) Two equations are coincidental if they have the same slope and the same y intercept
Step-by-step explanation:
plzzz.. .......
mark it as a brilliant answer
