Answer:
Rate at which spring is oscillating 2.9631
Step-by-step explanation:
The governing equation for the position of the spring = 3 sin t
the change in position of the spring with respect to time is =
given time t = 9 seconds,
To find the rate at which the spring is oscillating at the time, we insert the time 9 seconds into the the slot for t

rate at which it is oscillating = 2.9631
Answer:72
Step-by-step explanation:because idk
Answer:
The equation of line is y = -4x -4.
Step-by-step explanation:
Given that:
Slope of the line = -4
Line passes through the point ( -3, 8)
The general equation of line is given by;
y - y1 =m(x-x1)
Putting the point and slope in equation
y - 8 = -4(x - (-3))
y - 8 = -4(x+3)
y - 8 = -4x - 12
y = -4x - 12 + 8
y = -4x -4
Hence,
The equation of line is y = -4x -4.
Answer:
hope this helps
Step-by-step explanation:
part.1
(7^x)^4 is equal to 7^(4x).
7^2 * 7^3 is equal to 7^(2+3) which is equal to 7^5.
7^5 / 7^(3x) is equal to 7^(5 - 3x).
you wind up with 7^(4x) is equal to 7^(5 - 3x)
this is true if and only if 4x = 5 - 3x.