This DE has characteristic equation

with a repeated root at r = 3/2. Then the characteristic solution is

which has derivative

Use the given initial conditions to solve for the constants:


and so the particular solution to the IVP is

Step-by-step explanation:
-4,-3,-2,-1,4. that's the answer
Hi there!
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

Subtract 108

Divide by 2.


Rule AB = 0, gives A is 0 or B is 0.

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length

Width

Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
Answer:
(- 4, 1 )
Step-by-step explanation:
A translation (x + 1), y - 3 ) means add 1 to the original x- coordinate and subtract 3 from the original y- coordinate.
B = (- 5, 4 ), thus
B' = (- 5 + 1, 4 - 3 ) = (- 4, 1 )
How about this:
The book has 712 pages. Ted has already read 408 pages, so he has 304 left to read.
712 - 408 = 304