Answer:
(See attached graph)
Step-by-step explanation:
To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation 
where the values of 
are the roots:
Since the values of are equal real roots, then the general solution is 
.
Thus, the general solution for our given differential equation is 
.
To account for both initial conditions, take the derivative of 
, thus, 
Now, we can create our system of equations given our initial conditions:
We then solve the system of equations, which becomes easy since we already know that 
:
Thus, our final solution is:
Keep in mind this relationship
1. Relationship between Speed, Distance and time
→Distance = Speed × Time
2. Relationship between Displacement, Velocity and time
→Displacement = Velocity × Time
So, velocity is zero only when
Displacement= 0,so when motion is circular motion,
Total Displacement =0 because initial and final position are same.
But , Speed is not zero, because
Total Distance Traveled = 2 π × (Radius of circle).
So, Option (A)The Starting and end point are same .. . . . in which the velocity is zero but the speed is a nonzero quantity.
Answer:
Decay, 36%
Step-by-step explanation:
.64 is less that 1, so it is a decay. You find the rate by using the equation 1 - .64 = .36 or 36%.
Let the score on her seventh test be "x".
SO,
∴ He must get 104% on his seventh test to get an average score of 90%
Answer:
y = 20.922
Step-by-step explanation:
Simply plug in <em>x</em> and evaluate:
y = 15 + 3ln(7.2)
Only way to calculate ln is to plug into a calc:
We should get 20.9222 as our answer.
