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:
If the remainder happens to be zero, this means that you can divide the dividend exactly by the divisor. Therefore, this indicates that the divisor and the quotient are both factors of the dividend
Step-by-step explanation:
Using the quadratic equation instead of calculus, you can find the x coordinate of the vertex as it will be the midpoint of the two x coordinates of the zeros...
x=(-3±√-27)/2
x=-1.5±√-6.75
That the second term is imaginary does not matter because we will add or subtract this value from -1.5, thus the midpoint of the zeros, the x coordinate of the vertex is -1.5. And to find the value of y for the vertex we just find the value of y when x=-1.5
y(-1.5)=6.75
Since y>0, the vertex is above the x-axis.
Answer:
43.2
Step-by-step explanation:
40/100 * 108
4/100*108
43.2
