Amass weighing 6lb stretches a spring 15in. suppose the mass is displaced an additional 9in in the positive (downward) direction and then released with an initial upward velocity of 4ft/s. the mass is in a medium, that exerts a viscuouse resistance of 1lb when the mass has a velocity of 2ft/s. assume g=32ft/s2 is the gravitational acceleration. (a) find the mass m (in lb middot s^2/ft). m = (b) find the damping coefficient c (in lb middot s/ft). c = (c) find the spring constant k (in lb/ft). k = (d) set up a differential equation that describes this system. let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x', x". (e) enter the initial conditions: x(0) = ft, x'(0) = ft/s (f) is this system under damped, over damped, or critically damped?

boxplot

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.