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
The value of x, y and z from the system of equation are -1, -8 and 5 respectively.
Data;
- -2x + 6y + 3z = -31
- -3y + 7z = 59
- 2z = 10
<h3>System of Equation</h3>
To solve this problem, we have to solve the system of equation using substitution method.
From equation (iii)

let us substitute the value of z into equation (ii)

Let's substitute the value of x and y into equation (i)

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.
Learn more on system of equations here;
brainly.com/question/14323743
4 x 1 thousand (1000) = 4000
21 x 1 ten (10) = 210
4000
+ 210
---------
4210
=4210 (four thousand-two hundred and ten
So basically you have to see how the person is built but in average it will took like 12minutes
Answer:
n < 9
Step-by-step explanation:
Solving an inequality is just like solving an equation, one uses inverse operations. The only difference is that when one multiplies or divides by a negative number, one must remember to flip the inequality sign to ensure that the expression remains true.


