Answer:
As per the given statement:
The region bounded by the given curves about the y-axis, 
, y=0, x = 0 and x = 1
Using cylindrical shell method:
The volume of solid(V) is obtained by rotating about y-axis and the region under the curve y = f(x) from a to b is;
where 
where x is the radius of the cylinder
f(x) is the height of the cylinder.
From the given figure:
radius = x
height(h) =f(x) =y=
a = 0 and b = 1
So, the volume V generated by rotating the given region:
![V =2 \pi \int_{0}^{1} x ( 13e^{-x^2}) dx\\\\V=2\pi\left [ -\frac{13}{2}e^{-x^2} \right ]_{0}^{1}\\\\V=2\pi\left (-\frac{13}{2e}-\left(-\frac{13}{2}\right) \right )\\\\V=-\frac{13\pi }{e}+13\pi](https://tex.z-dn.net/?f=V%20%3D2%20%5Cpi%20%5Cint_%7B0%7D%5E%7B1%7D%20x%20%28%2013e%5E%7B-x%5E2%7D%29%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cleft%20%5B%20-%5Cfrac%7B13%7D%7B2%7De%5E%7B-x%5E2%7D%20%5Cright%20%5D_%7B0%7D%5E%7B1%7D%5C%5C%5C%5CV%3D2%5Cpi%5Cleft%20%28-%5Cfrac%7B13%7D%7B2e%7D-%5Cleft%28-%5Cfrac%7B13%7D%7B2%7D%5Cright%29%20%5Cright%20%29%5C%5C%5C%5CV%3D-%5Cfrac%7B13%5Cpi%20%7D%7Be%7D%2B13%5Cpi%20)
therefore, the volume of V generated by rotating the given region is 
Answer:
D
Step-by-step explanation:
If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:
A: 5 - 3 / (-2 - 3) = 2 / -5
B: 6 - 5 / 6 - 5 = 1
C: 5 - 3 / 4 - 3 = 2
D: 4 - 3 / 3 - 5 = -1/2
The answer is D.
Answer:
0,12 grams
Step-by-step explanation:
0,96:8=0,12
The answer is 36,000 because 1 km=1,000 m. Since 1 liter is used every 12 km and you are finding out how many m you will go, you change the km to m and you will multiply it by 3.
12,000x3=36,000 m
we will find number of non-zero elements on each rows
and then we add them
First row:
we can see that non-zero elements are
2 , 3.1 , 22 , 9
so, number of non-zero elements in first row =4
Second row:
we can see that non-zero elements are
21 , 3.2 , 6
so, number of non-zero elements in first row =3
Third row:
we can see that non-zero elements are
1 , 42 , 8
so, number of non-zero elements in first row =3
Fourth row:
we can see that non-zero elements are
40 ,4 , 6,14
so, number of non-zero elements in first row =4
Fifth row:
we can see that non-zero elements are
10 , 20 , 13 , 5 , 6.3
so, number of non-zero elements in first row =5
now, we can add them
so,
total number of non-zero elements = 4 +3+3+4+5
so,
total number of non-zero elements is 19...........Answer
