Answer:12.8
Step-by-step explanation:
Another triple integral. We're integrating over the interior of the sphere
Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.
For the middle integral we have
x is the inner integral so at this point we conservatively say its zero. That means y goes from and
Similarly the inner integral x goes between
So we rewrite the integral
Let's work on the inner one,
There's no z in the integrand, so we treat it as a constant.
So the middle integral is
I gotta go so I'll stop here, sorry.
Answer:
1. Translation 3 units to the right;
2. Reflection across the x-axis;
3. Translation 4 units up.
Step-by-step explanation:
First, rewrite the function in following way:
Apply such transformations:
1. Translate the graph of the parent function 3 units to the right to get the graph of the function
2. Reflect the graph of the function across the x-axis to get the graph of the function
3. Translate the graph of the function 4 units up to get the graph of the function