<span>A = {odd numbers between 0 and 100}
</span><span>A = {1, 3, 5, 7,...., 95, 97, 99}
B = </span><span>{numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}
The notation </span><span>A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B
In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}
So that's why
</span>A ∩ B = <span>{55, 65, 75, 85, 95}
which is the final answer</span>
∫ √(4x - x²) dx
= 2[(4x - x²)^(3/2)] / 3(4 - 2x)
2*pi*10=62.83 is certainly your answer
<u>Answer:</u>
The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.
<u>Solution:</u>
Given, expression is 
We have to solve the above expression using change of base formula which is given as

Now, let us first apply logarithm for the given expression.
Then given expression turns into as, 
By using change of base formula,
x + 2 = 2.4649
x = 2.4649 – 2 = 0.4649
Hence, the value of x is 0.465 approximately and second option is correct one.
E^(∞): This is defined as 'e' being raised to a huge value. Hence the result will definitely be a large number which is also infinity (∞), i.e. e^(∞) = ∞.
e^(- ∞) = 1/e^(∞) = 1/∞ = 0.