Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
Answer:
4/7
Step-by-step explanation:
Tan= Opposite/Adjacent
Tan<f = 4/7
-6-7(c+10)
-6-7c-70
-76-7c
B
Answer:
Step-by-step explanation:
Let's see if we can think of two numbers that multiply to be 3(-5)=-15
andd add up to be -2
How about -5 and 3? That work's! :)
Factor by grouping!