L=(8/3)W = 24 ft.  Solving for W, we mult. both sides of this eqn by (3/8), obtaining
W = (3/8)(24 ft) = 9 ft (answer)
        
             
        
        
        
Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
The average rate of change of a function f between a and b (a< b) is :
R =[f(b)-f(a)] ÷ (a-b) 
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Let R be the average rate of change of this function 
f(6) = 2×6^2 - 7×6 = 72-42 = 30
f(2) = 2×2^2 - 7×2 = 8-14 = -6 
R = [f(6) - f(2)]÷ (6-2) 
R = [30-(-6)] ÷ 4 
R = -36/4 
R = -9
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The average rate of change of this function is -9