Answer:
a) ⅓ units²
b) 4/15 pi units³
c) 2/3 pi units³
Step-by-step explanation:
4y = x²
2y = x
4y = (2y)²
4y = 4y²
4y² - 4y = 0
y(y-1) = 0
y = 0, 1
x = 0, 2
Area
Integrate: x²/4 - x/2
From 0 to 2
(x³/12 - x²/4)
(8/12 - 4/4) - 0
= -⅓
Area = ⅓
Volume:
Squares and then integrate
Integrate: [x²/4]² - [x/2]²
Integrate: x⁴/16 - x²/4
x⁵/80 - x³/12
Limits 0 to 2
(2⁵/80 - 2³/12) - 0
-4/15
Volume = 4/15 pi
About the x-axis
x² = 4y
x² = 4y²
Integrate the difference
Integrate: 4y² - 4y
4y³/3 - 2y²
Limits 0 to 1
(4/3 - 2) - 0
-2/3
Volume = ⅔ pi

<h2>
Explanation:</h2>
The vertex form of the equation of a parabola is given by the following form:

In this exercise, we have the following equation:

From here, we can conclude that:

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.
<h2>Learn more:</h2>
Finding leading coefficient: brainly.com/question/1469367
#LearnWithBrainly
You know that BC is congruent to x so you need to solve for x using the ratio:

So then we need to find BC.
We know:


Therefore BC =8
Then:

Answer:
x=4
Step-by-step explanation:
in image 1 /2
explanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image aboveexplanation is in the image above
Answer:
The difference of 6 times x subtracted from 8 is equal to the sum of 4 added to Twice x