(D) In the following LTIODES, find all values of K that produce a stable homogeneous solution with settling time less than 2 seconds. Use function roots (or your calculator) to illustrate one value of K that works, and one that doesn't. In other words, choose a specific numerical value of K which produces a settling time less than 2 seconds, and calculate the actual roots for that K; then choose a specific numerical value for K which produces a settling time slower than 2 seconds, and calculate the actual roots for that K 1. 2. 3. 4. x(t)+9x(t) +28x(t) + Kx(t) = 0 x(t) +7x(t) + Kx(t) +24x(t) = 0 x(t)+8x(t) + 40(t) + 96x(t) + Kx(t) = 0 x(t) +8x(t) + Kä(t) +96x(t) + 80x(t) = 0

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

the question is in the photo

If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

Find the equation.

help

Find x. (3x-17)° (x+40)° (2x-5)° 3D= delivery/atat/54e99100907ctions wedwbmistionid-69-

We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which measures 20 inches wide and 58 inches long.  We will remove a square of size “x” inches from each corner and turn up the edges. Once we remove the squares of size “x” inches from each corner and turn up the edges, we create a box: Label the dimensions of the newly created box using the variable “x”.   h=h=     w=w=                    l=l=         What is the equation that represents the Volume of the box as a function of the cutsize of the box? V(x)=Vx=      What is the restricted domain of this problem? (That is, what x values "make sense"?)  ≤x≤≤x≤     What is the restricted range of this problem? (That is, what V values "make sense"?)  ≤V(x)≤≤Vx≤   (round to 1 decimal place)   To maximize the volume of the newly created box, how much should be cut from each corner? x=x=  inches (round to 1 decimal place) What is the maximum volume the box can hold? V=V=  in3  (round to 1 decimal…