<span>
The standard form of the equation of a circumference is given by the following expression:
</span>
<span>
On the other hand,
the general form is given as follows:
</span>
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In this way, we can order the mentioned equations as follows:
Equations in Standard Form: </span>
Equations in General Form:
So let's match each equation:
Then, its general form is:
<em><u>First. a) matches 5)
</u></em>
Then, its general form is:
<em><u>Second. b) matches 1)
</u></em>
Then, its general form is:
<em><u>Third. c) matches 3)</u></em>
Then, its general form is:
<em><u>Fourth. d) matches 6)</u></em>
9/4y-2=25
9/4y-2+2=27+2
9/4y=27
9/4y*4y=27*4y
9=4y*27,
1/3=4y, (9/27 simpltfies to 1/3, 1/3 divided by 4: 1/3*1/4=1/12)
1/12=y
Answer:y=1/12
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
<u>a) The x-axis </u>
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π )
=
∴ Vol = 8π
<u>b) The line y = 2 ( using the shell method )</u>
p = 2 - y
h = y^2
vol = ( 2π )
=
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
<u>c) The y-axis ( using shell method )</u>
h = 2-y = h = 2 - √x
p = x
vol =
=
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
<u>d) The line x = -1 (using shell method )</u>
p = 1 + x
h = 2√x
vol =
Hence vol = 176/15 π
attached below is the graphical representation of P and h
Answer: C.
Step-by-step explanation: I used m.athway