Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
y = 2x - 8
Step-by-step explanation:
Hello!
Let's put this as a system of equations.
r= 8+g
r+g=14
Let's plug our r value into the second equation and solve for g.
8+g+g=14
8+2g=14
Now we subtract 8 from both sides.
2g=6
We divide both sides by 2.
g=3
Therefore, he has 3 green peppers.
I hope this helps!
Answer:
After two seconds
h(2) = -16(2^2) + 115(2) + 19
h(2) = -64 + 115(2) +19
h(2) = 185
Let me know if this helps!
Answer:
Where is the graph my friend??