Answer:
i think they are
Step-by-step explanation:
Answer:
0,4.2
Step-by-step explanation:
1. By the chain rule,

I'm going to switch up the notation to save space, so for example,
is shorthand for
.

We have




Similarly,

where



To capture all the partial derivatives of
, compute its gradient:


2. The problem is asking for
and
. But
is already a function of
, so the chain rule isn't needed here. I suspect it's supposed to say "find
and
" instead.
If that's the case, then


as the hint suggests. We have



Putting everything together, we get


Answer:
For #3 the answer is 113.04 (6 + g) / 32
Step-by-step explanation:
A = Pi * r * (r + g)
12/2 = 6 ft
A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet
113.04 (6 + g) / 32
<span>5x - y = 15 (1)
-10x+2y=-30 (2)
multiply (1) by 2
10x - 2y = 30
</span>-10x + 2y = -30 (2)
<span>---------------------------add
0 = 0
answer
</span><span>infinitely many solutions</span><span>
</span>