Answer:
x'-5x=0, or x''-25x=0, or x'''-125x=0
Step-by-step explanation:
The function 
is infinitely differentiable, so it satisfies a infinite number of differential equations. The required answer depends on your previous part, so I will describe a general procedure to obtain the equations.
Using rules of differentiation, we obtain that 
. Differentiate again to obtain, 
. Repeating this process, 
.
This can repeated infinitely, so it is possible to obtain a differential equation of order n. The key is to differentiate the required number of times and write the equation in terms of x.
The answer is 311/12,the decimal form is 25.916,the mixed number from is 25 11/12
Answer:
The solution is (0, 2).
Step-by-step explanation:
Here we have two different equations for y. Equate them to eliminate y. Solve the resulting equation for x:
y = −1/3x + 2 = y = x + 2
Simplifying, we get (-1/3)x = x, and so x must be 0.
Then, using the second equation, we find that y = 0 + 2 = 2.
The solution is (0, 2).
Y = 5 because if RT=66 then if you add RS and ST you will get 66
The remaining value will increase by the value of the slope. Hence the remaining missing values are -47, -44, -41, -38 and -35
<h3>Slope and tables</h3>
The slope of a line is the ratio of the rise to run of a line. It is also defined as the rate of change of coordinate y with respect to x. Mathematically;
slope = change in y/change in x
If the slope of the table given is 3, then using the coordinate points (5, -50)and (6, y)
Substitute
3 = y-(-50)/6-5
3 = y+50/1
y+50 = 3
y = -47
The remaining value will increase by the value of the slope. Hence the remaining missing values are -44, -41, -38 and -35
Learn more on slope here: brainly.com/question/3493733
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