See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
See below for the proof of the equation 
<h3>How to prove the equation?</h3>
The equation is given as:
Take the LCM
Expand
Evaluate the like terms
Rewrite as:
Factorize the numerator
Divide
2(a - b)= 2(a - b)
Both sides are equal
Hence, the equation has been proved
Read more about equations at:
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Answer: 10
Step-by-step explanation:
So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.
Please make me brainliest
We know for our problem that Rachel makes $10 per hour. Since
represent the number of hours that she works,
will be the total amount that she will make for working
hours. We also know that she sells bracelets for $5 each. Since
represents the number of of bracelets that she sells,
will be her total revenue for selling
bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of
and
must be equal or greater than 200:
We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>
Answer:
<h2>k = 7</h2>
Step-by-step explanation:
