2x4=8 is the expression gets the answer
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
Option D is the correct answer.
Step-by-step explanation:
Step 1 :
Let A represent the cost of one bucket of apple and P represent the cost of one bucket of peaches.
So we have ,
4 buckets of apples and 5 buckets of peaches for $64
8 buckets of apples and 3 buckets of peaches for $72
Writing this in the equation form we have,
4A + 5P = 64
8A + 3P = 72
Step 2:
Solving for the above 2 equations we can get the required costs
Equation 1 is
4A + 5P = 64 , Multiplying this by 2 we have 8A + 10P = 128
Equation 2 = 8A + 3P = 72
Subtracting both we have , 7p = 56 = > P = 8
Substituting this in equation 1 we have
8A + 80 = 128 => A = 6
Hence the cost of one bucket of apple is $6 and the cost of one bucket of apple is $8.
Option D is the correct answer.
Answer:
a = 16 and b = 2
Step-by-step explanation:
C
A line with undefined slope is a vertical line parallel to the y-axis, passing through all points with the same x-coordinate.
For this reason it's equation is x = c
where c is the value of the x-coordinate the line passes through
For (- 3, 5 ) the x-coordinate is - 3, hence
x = - 3 → is the equation of the line
