Answer:

Step-by-step explanation:
We are given: 

Separation of Variables: 

So: 

Integrate: 

Integrate: 

Raise both sides to e:

Simplify: 

So: 

Simplify: 

 
        
             
        
        
        
Answer:
i dunno what that means but i think maybe your keyboard broke so the type of letters is random??
 
        
             
        
        
        
Answer:
   8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
   P = 2(length + width)
Filling in the given values for the variables, we have ...
   4.5w +4 = 2(w +1.5w)
   4 = 0.5w . . . . . . subtract 4.5w and collect terms
   8 = w . . . . . . . . . multiply by 2
   length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
 
        
             
        
        
        
Step-by-step explanation:
(16 ×7×3)+(1/2×3×5×6)
=336+45
=381cubic inch