Step-by-step explanation: To find out which of the following equations would represent the scenario of consecutive even integers, we need to understand what consecutive even integers are.
Consecutive even integers are integers but they are even so unlike consecutive integers, we skip 1 in between.
In the image provided, I have written on the whiteboard 3 numbers. If we use <em>x</em> to represent our first number, our second number can be represented as <em>x + 2</em> and our third number can be <em>x + 4</em>.
In fact any 3 consecutive even integers can be represented as X + X + 2 + X + 4.
If we have four consecutive even integers, are setup will be the same but we will go one step further and add X + 6.
Since D deals with consecutive even integers, it would be our answer.
Using derivatives, it is found that:
i)
ii) 9 m/s.
iii)
iv) 6 m/s².
v) 1 second.
<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>In this problem, the position is:
item i:
Velocity is the <u>derivative of the position</u>, hence:
Item ii:
The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:
Item iv:
The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:
Hence 1 second.
You can learn more about derivatives at brainly.com/question/14800626