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We find the base of the rectangles by taking the difference between the interval endpoints, and dividing by 2.
Base of rectangle = (6 - 2) / 2
= 2
The area of the first rectangle:
(4 - 2)f(4) = 2[4 + cos(4π)]
The area the second triangle:
(6 - 4)f(6) = 2[6 + cos(6π)]
Now just compute the two areas and combined them. That will give you the estimated under the curve.
To evaluate the midpoint of each rectangle, we take the midpoint of the base lengths of each rectangle. This midpoint is the x value. Then evaluate the function at that x value.
The midpoint of the first rectangle is x=3. Evaluate f(3).
The midpoint of the second rectangle is x=5. Evaluate f(5).
Answer:

Step-by-step explanation:
Given


Required
Find a and b
Substitute
for x and y in 



Rewrite as:

The above implies that (a) is correct;
Hence:

So, the equation is:

I think the first one is correct.
Hope this helps!!
i have to swim this semester in gym and our pool is 13 feet for deep end and i don't like it
Answer and Step-by-step explanation:
First, you create an expression that equals the perimeter of the shape.
5r + 2s + 3r + 2s + 5r + 2s + 3r + 2s
<u>Simplify</u>
16r + 8s
Now we look at the students' expressions.
I can see that Brain's expression is equivalent to perimeter of the shape. Do you know why?
It is because his answer is the un-distributive version of our answer.
He simply took out the common number that is in 16 and 8, which 8.
<u>So, Brian is correct.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>