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
Answer:it is 5/7
Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7
B, 4x(2x2 + 3x)
divide both sides by 4 and you will get 2x2 + 3x to be the most factored form
Answer: 135 is the answer.
Step-by-step explanation:
Answer:
First point: (1,0)
Second Point: (2,1)
Third Point: (3,2)
Fourth Point: (8,7)
Step-by-step explanation:
For the first two points, you have to plot the two pairs of coordinates that are given. After this, you have to plug the x values into the equation to get the missing y values.
For example: The third point
X= 3
Y= X - 1
Y= 3 - 1
Y=2
So this means that the third coordinate is (3,2)