Answer:

Step-by-step explanation:
To find the distance between two points, use the distance formula.
The distance formula is:

Let (3,-4) be x₁ and y₁ and let (5,4) be x₂ and y₂. Therefore:

Simplify:

Square:

Add:

Simplify:

Simplify:

Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

To find:
The current which will produce the maximum power.
Solution:
We have,


Differentiate with respect to x.

...(i)
To find the extreme point equate P'(x)=0.


Divide both sides by -30.

Differentiate (i) with respect to x.

(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
1 is B.
2 is x > 3
4 is d+0.06d
I don't know 3, but I'll ask it for you, since you don't have many points.
Answer: x = 6.56
Step-by-step explanation: -0.4x - 0.5 + x = 3.63
-0.4x^2 - 0.5 = 3.63
-0.4x^2 = 4.13
0.63x = 4.13
x = 6.56