Consider the given initial value problem: yâ²â²+3yâ²+2y=0, y(0)=1, yâ²(0)=1. a. Explain why the IVP can represent a mass-spring system. In your explanation, you need to describe the systemâs attributes including initial displacement and initial velocity.
b. Classify the mass-spring system
c. Find the systemâs damping coefficient and spring constant.
d. Is there any external force on the system? Explain why or why not.
e. Use the answers from (a) to (d) above to describe how the system should behave. You need to include its long-run behavior of the system.

The function v(r)=4/3pir^3 can be used to find the volume of air inside a basketball given its radius. what does v(r) represent

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.

What are the interpretations of the line 3x - 15y = 60? x-intercept y-interception a: x 20 - y -4 b: x 5 - y 20 c: x -3 - y 15 d: x -4 - y 20