Answer with Step-by-step explanation:
Let a mass weighing 16 pounds stretches a spring
feet.
Mass=
Mass=

Mass,m=
Slug
By hook's law




A damping force is numerically equal to 1/2 the instantaneous velocity

Equation of motion :

Using this equation



Auxillary equation





Complementary function

To find the particular solution using undetermined coefficient method



This solution satisfied the equation therefore, substitute the values in the differential equation


Comparing on both sides


Adding both equation then, we get


Substitute the value of B in any equation



Particular solution, 
Now, the general solution

From initial condition
x(0)=2 ft
x'(0)=0
Substitute the values t=0 and x(0)=2




Substitute x'(0)=0




Substitute the values then we get

Answer:
y = −
2
/3
x + 4
Step-by-step explanation:
I beleive it is 6(2) + 3 (1) + 1(5) = 20 points :)
Answer:
B.) 45
Step-by-step explanation:
Answer:
The correct answer for the question that is being presented above is this one: "The range of the function is all real numbers; The function has two x-intercepts. The statements about the graph of the function f(x) = 2x2 – x – 6 that are true includes: The range of the function is all real numbers; The function has two x-intercepts.
Step-by-step explanation: