Answer:
A current of 5 amperes will produce the maximum power.
Step-by-step explanation:
Let be
, where
is measured in watts and
in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:
First derivative

Second derivative

Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)


The only critical point is
.
As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)


Which indicates that critical point leads to an absolute maximum.
A current of 5 amperes will produce the maximum power.
Answer:
8, 2, 8, 2
7, 3, 7, 3
6, 4 6, 4
9, 1, 9, 1
Step-by-step explanation:
In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.
So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.
Since there are 18 numbers, I'm assuming we don't have to use all of them.
<span>Problem: 3(x-5)-15=48
1. Multiply what's in the parenthesis
3x-15-15=48
2. Combine like terms
3x-30=48
3. Switch the sides
3x=48+30
3x=78
4. Divide
x=26
Answer: 26
</span><span>
</span>
Answer:
see below
Step-by-step explanation:
2/3 ÷ 4
We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6