Answer:
(4x² + 3)(16
- 12x² + 9)
Step-by-step explanation:
A sum of cubes factors as
a³ + b³ = (a + b)(a² - ab + b²)
64
= (4x²)³ ⇒ a = 4x²
27 = 3³ ⇒ b = 3
Hence
64 + 27
(4x² + 3)((4x²)² - (4x² × 3) + 3²)
= (4x² + 3)(16 - 12x² + 9)
The rate of change of a given function is given by f'(x)=dy/dx
given that the function is:
f(x)=12+2^(-2x)
f'(x)=2*(-2)e^(-2x)
f'(x)=-4e^(-2x)
the relative rate of change will be the ratio of the derivative to the original function:
f'(x)/f(x)
=(12+2^(-2x))/(-4e^(-2x))
The coordinates are (4,3) ►(6,-2)
(-4,2) ►(-2,-3)
. (-2,4) →(0,-1)
Answer:
1056
Step-by-step explanation:
Find the area of each square and add them to find the area of the rectangle
The area of a square = side * side
The areas are:
1*1= 1
4*4 = 16
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
14*14 = 196
15*15 = 225
18*18 = 324
The sum of the areas =
324+225+196+100+81+64+49+16+1
= 1056 units ^2
