Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
3.124 * 10^-4
since your decimal is coming forward you need the exponent to be negative
12x-5y=2
-5y=2-12x
y=-2/5+12/5x
should know the m=12/5
and (2,3) bring them to the line equation:
3=12/5x2+b
6/5+b=3
b=3-6/5
b=9/5
y=12/5x+9/5
Which means the answer is not in the choices.
This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.
First, let's solve for the rectangle because it's easier.
Area for finding a rectangle A = w * l
A = 23 * 37
A = 851
Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.
We know the diameter is 23. And to get the radius we just half it because the radius is half of the diameter.
23 / 2 = 11.5
A = 3.14 * 11.5^2
A = 3.14 * <span>132.25
</span>A = <span>415.265
</span>
Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.
Now add up 851 and 415.265.
851 + 415.265 = <span>1266.265</span>
Answer:
-2
Since b = -2, the y intercept is -2.
