4/3 * pi * radius^3 is the formula for volume of a sphere.
For every 
, we have
So, negletting the first term, each term of the sum is greater than 1, which implies
Which means that the series diverges.
Answer:
Step-by-step explanation:
We want the equation of a line that is parallel to 
which also passes through (-7, 1).
Since the new line is parallel, it must have the same slope as the original line.
The slope of the original line is 6.
Hence, the slope of our new line must also be 6.
We know that the slope is 6.
And it passes through the point (-7, 1).
So, we can use the point-slope form:
Where m is the slope and (x₁, y₁) is a point.
Substitute:
Simplify:
Distribute:
Add 1 to both sides. Hence, our equation is:
Sure I will give two examples
Application of tangents
1. If we are traveling in a car around a corner and we drive over something slippery on the round ( like water , ice or oil ) , our car starts to skid
It continue in a direction tangent to the curve
Application of tangents
2. Have you ever sat on a merry- go around
If yes , then you would understand
From your experience when I tell you that the force your experience is towards the centre of merry- go around but your velocity ( the tendency of motion) is in the way toward which your body pointing
Another way saying the same thing would be to let you know that your velocity at any point is tangent while force .
At any point is normal to the circle along which you are moving
Can you draw connection between both the ways of saying the same thing?
Have this two example help you
Good luck :D
Answer:
3:12, 5:50, 7:14, 11:22
Step-by-step explanation:
All these numbers are multiples of each other. They are also divisible by each other. 12 is divisible by 3, 50 is divisible by 5, 14 is divisible by 7, and 22 is divisible by 11.
Hope this helps.
