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:
$711.23
Step-by-step explanation:
We assume the entire closing cost went to reducing the principal of the loan. Then the amount borrowed was $147,192.
<h3>Monthly payment</h3>
The amortization formula tells you the monthly payment.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
P is the principal, r is the annual rate, and t is the number of years.
The monthly payment is ...
A = $147,192(0.041/12)/(1 -(1 +0.041/12)^-360) ≈ $711.23
Jeff's monthly payment is $711.23.
If you want to take a square root of a square root you will need 2 squares roots,
For example, i want the square root of the square root of 16.
I'll take it first: √16 = 4 and again, √4 = 2
So, the square root of the square root of 16 is 2.
But you can also make a root with index 4.
Because if you do 2.2.2.2 you will take 16.
Answer:
Step-by-step explanation:
