Answer:
Step-by-step explanation:
In this system we have the force of the spring and the gravitational force. The equation that describes that is
where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have
the solution for this differential equation is (by using the characterisic polynomial)
hope this helps!!
That would be D) The slope of the graph will be changed.
I hope it helps
<u>Answer</u>
-4x - 2
<u>Explanation</u>
To get the function needed, first calculate the slope of the graph.
slope = (change in y) / (change in x)
= (2 - -2)/(-1 - 0)
= 4/-1
= -4
Now use one of the point (-1, 2) in the graph and a general point (x,y) to find the function.
-4 = (y - 2)/(x - -1)
-4(x + 1) = y - 2
-4x - 4 = y - 2
y = -4x - 4 + 2
= -4x - 2
∴ f(x) = -4x - 2
A.)
Z = kx/y where k is a constant.
32 = 16k/4
k = 128/16
k = 8
z = 8x/y
b.)
Z = 8(21)/6
Z = 28
c.)
4 = 8x/48
x = 192/8
x = 24
