Answer:
The answer would be 257
Step-by-step explanation:
The slope of a line that passes through the point (-3,0) and has a y-intercept of 12 is 4.
<h3>How to find the slope of a line?</h3>
Using the point slope equation,
y = mx + b
where
Therefore, using (-3, 0)
0 = -3m + 12
-12 = -3m
divide both sides by -3
m = -12 / -3
m = 4
learn more on slope here: brainly.com/question/17130155
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Answer:
20,000,000,000 or 200
Step-by-step explanation:
depending on which 2 you are asking for
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
