Answer:
The answer is " So, they eat more brownies with nuts".
Step-by-step explanation:
In the given question, the two browny pans of equal size are baked by Jeremy. There is indeed a saucepan with nuts in it, not the other pan. He split the pot into eight equal chunks with nuts. He slices the pan into 16 equal parts without nuts. His mates eat 2 nuts brownies and three nut-free brownies. They eat more nuts and brownies eat more.
Answer:
The mass of the lamina is 1
Step-by-step explanation:
Let be a continuous density function of a lamina in the plane region D,then the mass of the lamina is given by:
.
From the question, the given density function is .
Again, the lamina occupies a rectangular region: D={(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}.
The mass of the lamina can be found by evaluating the double integral:
.
Since D is a rectangular region, we can apply Fubini's Theorem to get:
.
Let the inner integral be: , then
.
The inner integral is evaluated using integration by parts.
Let , the partial derivative of u wrt y is
and
, integrating wrt y, we obtain
Recall the integration by parts formula:
This implies that:
We substitute the limits of integration and evaluate to get:
This implies that:
.
Or
.
We again apply integration by parts formula to get:
.
.
.
.
No unit is given, therefore the mass of the lamina is 1.