Answer:
y = (x - 2)² - 4
Step-by-step explanation:
I graphed the points on the graph below and found a function that had those points as solutions.
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Answer:
The answer is 1/4!
Step-by-step explanation:
Answer:
The volume of the ball with the drilled hole is:
Step-by-step explanation:
See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:
Then we set the integral for the volume by using shell method:
That can be solved by substitution:
The limits of integration also change:
For x=5:
For x=15:
So the integral becomes:
If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:
Then applying the basic rule we get:
Since that is just half of the solid, we multiply by 2 to get the complete volume:
Answer:
g = 4
Step-by-step explanation:
5g = 20
Divide each side by 5
5g/5 = 20/5
g = 4