The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:

 is autonomous

 is *not* autonomous
 
        
        
        
Answer:
Step-by-step explanation:
Algebraic expressions tend to have atleast one unknown variable in it. In order to solve the expression we need to assign a fixed value to that variable or isolate it if the expression is equal to another value. For example, in the following expression we have the variable x, if we give it a value of 5 we simply solve like a regular expression...
5x + 3
5(5) + 3
25 + 3
28
Therefore, if we swap the variable x for the value of 5 we would get a value of 28 in this algebraic expression.
 
        
             
        
        
        
 The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
<h3>How to find the z score (z statistic) for the sample mean?</h3>
If we're given that:
- Sample mean =   
- Sample size = n 
- Population mean =   
- Sample standard deviation = s
Then, we get:

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

where  population standard deviation
population standard deviation
For this case, we're specified that:
- Sample mean =  = 2.3 = 2.3
- Sample size = n = 15
- Population mean =  = 2.7 = 2.7
- Population standard deviation =  = 0.4 = 0.4
Thus, the value of the z-statistic is evaluated as:

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.
Learn more about z statistic here:
brainly.com/question/27003351
 
        
             
        
        
        
6. the answer is 4. because u find the diameter by dividing by 2. 
7. answer = 8 , the radius is 4 . so u need to multiply 2 times 4. 2 times 4 =8.
        
             
        
        
        
Answer:
The question is incomplete, the complete question is Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 12 ft³ of fluffy material. The base is 3 ft, the height is 2 ft, what is the length of the pillow?
The length of the pillow is 4 feet
Step-by-step explanation:
The formula of the volume of the wedge is  , where
 , where
- b is the base of it
- h is the height of it
- l is the length of it
∵ The pillow in the shape of a wedge
∵ The pillow is filled with 12 ft³ of fluffy material
∴ The volume of the wedge = 12 ft³
∵ The base = 3 feet
∵ The height = 2 feet
- Use the formula of the volume above to find its length
∵ 
∴ V = 3 l
∵ V = 12 ft³
- Equate 3 l by 12
∴ 3 l = 12
- Divide both sides by 3
∴ l = 4 feet
∴ The length of the pillow is 4 feet