Using product rule;
f(x)=(1+6x²)(x-x²)
f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1
Solving the bracket first;
f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4
f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1
        
             
        
        
        
Answer:
9 ft
Step-by-step explanation:
Let's begin with the formula for the volume of a square pyramid.  If s is the base length, then the area of the base is s^2.  The volume of the pyramid is then V = (1/3)(base area)(height).  We know the volume and the base length (s), and want to find the height.  Solving V = (1/3)(base area)(height)
for height, we get:
3V = (base area)(height), or
     3V
---------------- = height
 base area
Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:
                3(75 ft^3)              9 ft
height = ------------------ = ----------------- = 9 ft
                  25 ft^2                   1
 
        
             
        
        
        
Answer:
F
Step-by-step explanation:
The perimeter of the scale drawing is 18 inches. 72 divided by 18 is 4.
I hope this helps!
 
        
             
        
        
        
Answer:
Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52
Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87
 
        
             
        
        
        
Start at (0,2) and draw a dot. Then, go up 2 units, and right 5 times. Draw a dot. Now connect the 2 dots and extend the line. 
Now, it's graphed! :)