Answer:
1.point-slope
2.slope
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).
Now, for the similarity reason of the areas, we just square that number (3^2=9).
Then we just divide the area of the big triangle by 9, which is 180/9= 20.
I have no idea but i know that its 11 qUARTS ALL TOGETHer
The correct question is:
Suppose x = c1e^(-t) + c2e^(3t) a solution to x''- 2x - 3x = 0 by substituting it into the differential equation. (Enter the terms in the order given. Enter c1 as c1 and c2 as c2.)
Answer:
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
Step-by-step explanation:
We need to verify that
x = c1e^(-t) + c2e^(3t)
is a solution to the differential equation
x''- 2x' - 3x = 0
We differentiate
x = c1e^(-t) + c2e^(3t)
twice in succession, and substitute the values of x, x', and x'' into the differential equation
x''- 2x' - 3x = 0
and see if it is satisfied.
Let us do that.
x = c1e^(-t) + c2e^(3t)
x' = -c1e^(-t) + 3c2e^(3t)
x'' = c1e^(-t) + 9c2e^(3t)
Now,
x''- 2x' - 3x = [c1e^(-t) + 9c2e^(3t)] - 2[-c1e^(-t) + 3c2e^(3t)] - 3[c1e^(-t) + c2e^(3t)]
= (1 + 2 - 3)c1e^(-t) + (9 - 6 - 3)c2e^(3t)
= 0
Therefore, the differential equation is satisfied, and hence, x is a solution.
For this case, what you must do is to graph both functions in the same coordinate plane and verify where they are cut.
The points where they are cut will be solutions for f (x) = g (x).
This particular function is cut into two points:
(0, 2)
(1, 3)
Therefore, the solution for f (x) = g (x) is
x = 0
x = 1
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the solutions to the equation are </span>
x = 0 x = 1
