Answer:
The integral diverges
Step-by-step explanation:
∫₋₁¹ 10/x² dx
There is a discontinuity in the function at x = 0. Splitting this into two integrals:
∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx
-10/x |₋₁⁰ + -10/x |₀¹
∞
Answer:3/19
Step-by-step explanation:
5/19 - 2/19 = 3/19
The moment of inertia of a spherical shell is I = mr²
If two spheres have the same moment of inertia, then
I₁ = I₂
m₁(r₁)² = m₂(r₂)²
Solve for the second mass:
m₂ = m₁ (r₁/r₂)²
Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
m₂ = (1 kg) (2 m / 1 m)² = 4 kg
The plane that is highlighted inside the given cuboid is called a Rectangle.
<h3>What is the Plane in the given solid?</h3>
A cross-section is the intersection of a solid and a plane. Plane Figures and defined as solid shapes.
In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. These figures demonstrate the shape of objects we see in our everyday lives. There are different types of 2D shapes and 3D shapes. The plane shapes are two-dimensional closed shapes with no thickness and are known as 2D shapes.
Solid shapes are nothing but solids with three dimensions: length, breadth, and height. Solid shapes are also known as 3D shapes.
Now, looking at the given figure we see that it is a cuboid and we see that the 2 dimensional plane cut through it is clearly a rectangle.
Thus, we can conclude that the plane that is highlighted inside the given cuboid is called a Rectangle.
Read more about Plane in Solid at; brainly.com/question/1609720
#SPJ1
This one is simple since we already have the two x variables.equal. All we have to do is subtract the equations from one another to get the answer.
So i will subtract the left side by the other left side and the right side by the other right side
-8x - 8y -(-8x + 2y) = 0 -(-20)
distribute negative sign
-8x - 8y + 8x - 2y = 0 + 20
do the math
- 10y = 20
Y = -2
plug t into an equation
-8x -8 (-2) = 0
-8x + 16 = 0
-8x = -16
x = 2
answer (2, -2)
