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
Given:
The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.

To find:
The f(658).
Solution:
We have,

Substitute x=658 to find the value of f(658).


It means, the club will earn $1974 for wrapping 658 presents.
Therefore,
.
8 hours = 1 day
24 hours = 3 days
187.42/24
Round it up and it will give you $7.80/hour
Answer:
this is just for part A sorry i dont get part B
oof bad drawing of a trapezoid
P(A) means "Probability of Event A" The complement is shown by a little mark after the letter such as A' (or sometimes Ac or A): P(A') means "Probability of the complement of Event A" The two probabilities always add to 1.