Answer:
5.333 \pi
Step-by-step explanation:
Given is a function exponential as
The region bounded by the above curve, y =0 , x=4 is rotated about x axis.
The intersection of curve with x axis is at x=0
The limits for x are 0 and 4
The volume when rotated through x axis is found by
Here a = 0 and b =4
volume =
=
Answer:
Step-by-step explanation:
Just multiply the two sides
1.
Use FOIL (First, Outer, Inner, Last)
2.
^ After simplifying
Step-by-step explanation:
In adding fractions, first you have to make the denominators the same. To do this, you need to find the GCF (greatest common factor).
3/4 + 4/8
The GCF on this would be 8, since both 4 and 8 can go into it. Next, you need to change both the denominators to the GCF, but you have to make sure the fractions are still equal to the original one. To do this, you have to multiply the numerator by the amount the original denominator is multiplied to get to the GCF.
4(2) = 8
3(2) = 6
So now you have 6/8 + 4/8. Next, you just add up the numbers normally, leaving the denominators the same.
6/8 + 4/8 = 10/8
If necessary, you simplify the fraction. To do this, you need to find the smallest number that goes into both of them, besides one. In this case, it would be 2. Then, you divide both the numerator and denominator by that number.
10/2 = 5
8/2 = 4
Then, to find the most simplified version, you need to divide the numorator by the denominator.
5/4 = 1 with a remainder of 1.
You put your answer as the whole number, and your remainder as the numorator. Leave the denominator the same.
1
Hope this helped with adding fractions!
Given:
The area of a rectangle = 14 square units.
The side lengths are a and b.
To find:
The value of b.
Solution:
We know that, the area of a rectangle is:
The area of the given rectangle is:
On further simplification, we get
Divide both sides by 7.
Therefore, the value of b is 6 units.