Answer:
we have to learn this  in middle school
Step-by-step explanation:
 
        
             
        
        
        
Answer:
a) integral = 24.72
b) |Error| ≤ 0.4267
Step-by-step explanation:
a)
The integral:

can be  approximated with the midpoint rule, as follows:
6.7*(0.8 - 0.0) + 8.9*(1.6 - 0.8) + 6.9*(2.4-1.6) + 8.4*(3.2 - 2.4) = 24.72
(that is, all the intervals are 0.8 units length and f(x) is evaluated in the midpoint of the interval)
b)The error bound for the midpoint rule with <em>n</em> points is:
|Error| ≤ K*(b - a)^3/(24*n^2)
where <em>b</em> and are the limits of integration of the integral and K = max |f''(x)|
Given that -5 ≤ f''(x) ≤ 1, then K = 5.  Replacing into the equation:
|Error| ≤ 5*(3.2 - 0)^3/(24*4^2) = 0.4267
 
        
             
        
        
        
If she used 3 for 36 we can assume the muffin tins hold 12 muffins, so we can do 60 divided by 12 to get 5!
She uses 5 muffin tins!
        
                    
             
        
        
        
Answer:
The correct answer is Kinetic Energy
Step-by-step explanation:
From conservation of energy a body at rest posses energy called Potential Energy under which it acquired at particular position of the body i.e at rest 
Then as soon body starts moving with a certain speed "v" there is conservation of energy from Potential energy to Kinetic energy given as product of a half with mass of the body and square of its velocity.
In formular K.E= 1/2mv^2 where m stands for mass of the body and v is the speed of the body.
 
        
                    
             
        
        
        
Answer:
Oof not me but thanks for the free points lol