Answer:

So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:

For this case we can use the following substitution
and we have 

And if we solve the integral we got:

And we can rewrite the expression again in terms of x and we got:

And we can solve this using the fundamental theorem of calculus like this:

So then the integral converges and the area below the curve and the x axis would be 5.
Answer:

Step-by-step explanation:
Given:


Need:

First, let's look at the identities:
sum: 
difference: 
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) = 
cos(A) = 
sin(B) = 
cos(B) = 
Plug these values into the difference identity formula.


Multiply.

Add.

This is your answer.
Hope this helps!
Answer:
multiply the givens. use a calculator
52 thousandths = 0.052
Move two decimal places to the right:
<h3><u>5.2 x 10⁻² ⇒ the scientific notation</u></h3>
64*2 is 128
1/2 of a cup of chocolate powder is 64g
laura added 4/6 of a cup
laura went over by 1/3 of a cup