Help!!! i need to get an A!!!
1 answer:
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Answer:
y2 = (6x + 7)/36 + (Dx + E)e^x
Step-by-step explanation:
The method of reduction of order is applicable for second-order differential equations.
For a known solution y1 of a 2nd order differential equation, this method assumes a second solution in the form Uy1 which satisfies the said differential equation. It then assumes a reduced order for U'' (w' = U'').
The differential equation becomes easy to solve, and all that is left are integration and substitutions.
Check attachments for the solution to this problem.
Answer:
When new, the scooter cost $900
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we have
This is a exponential function of the form
where
A(t) ----> represent the value of a motor scooter
t ----> the number of years after it was purchased
a ---> represent the initial value or y-intercept
b is the base of the exponential function
r is the percent rate of change
b=(1+r)
In this problem we have
The base b is less than 1
That means ----> is a exponential decay function (is a decreasing function)
Find the percent rate of change
Convert to percentage (multiply by 100)
---> negative means is a decreasing function
<u><em>Verify each statements</em></u>
<em>case A</em>) When new, the scooter cost $765.
The statement is false
Because the original value of the scooter was $900
case B) When new, the scooter cost $900
The statement is true (see the explanation)
case C) The scooter’s value is decreasing at a rate of 85% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
case D) The scooter’s value is decreasing at a rate of 0.15% each year
The statement is false
Because the scooter’s value is decreasing at a rate of 15% each year (see the explanation)
