Dy/dx=10,15,20,25,30
d2y/dx2=5,5,5,5,5 (there is no "rate of change" that is constant because acceleration is positive meaning that velocity keeps increasing...)
Since d2y/dx2 is constant, acceleration is constant, and this means that it is a quadratic equation of the form y=ax^2+bx+c
There are only three unknowns so we can use just three data points.
9a+3b+c=60
4a+2b+c=40
a+b+c=25 getting differences between these...
5a+b=20
3a+b=15 and again...
2a=5, so a=2.5, making 3a+b=15 become:
7.5+b=15, so b=7.5, making a+b+c=25 become:
2.5+7.5+c=25, so c=15
So the quadratic which produced the table is:
y=2.5x^2+7.5b+15
This is the regular old position function you see with any object moving with constant acceleration (like gravity when simplified).
The acceleration is 2.5 it has an initial velocity of 7.5 and an initial position of 15.
Step-by-step explanation:
its located in quadrant I right now if its rotated 90° clockwise it would be in quadrant IV(4)
I believe the resistance of the new wire with a diameter of 8 will be 1.06 repeating or 1.07 ohms rounded up. 0.4 ohms divided by 3 millimeters is roughly 0.13 so 0.13 times 8 is roughly 1.06 or 1.07 rounded up.
Answer:
c. both
Step-by-step explanation:
Given:
The equation is
To find:
The solution of the given equation.
Solution:
We have,
Subtracting both sides by 20, we get
Multiply both sides by 3.
Therefore, the solution of the given equation is .