Answer:
131.88 cm²
Step-by-step explanation:
The surface area of a cylinder is 2πr² + 2πrh
Since the figure we are dealing here is a quarter of a cylinder, divide the equation by 4.
New equation =

We know:
r = 6 cm
h = 8 cm
Now substitute the values and solve:



= 131.88 cm²
Step-by-step explanation:


Step-by-step explanation:
f(x) = x√(x+8)
When f(x) = 0,
0 = x√(x+8)
x = 0, x + 8 = 0
x = -8
f'(x) = (1)√(x+8) + x • ½(x+8)^(-½) = 0
0 = √(x+8) + 1/[2√(x+8)] (x)
-2(x+8) = x
-2x - 16 = x
x = -16/3
(-8 < -16/3 < 0)
Therefore, x-intercept of f'(x) = 0 is somewhere between the two x-intercepts, ranging from -8 to 0.
First function is changing more quickly because it has the larger slope.
Gm = √a*b for two numbers
hence gm = √6*42 = 2√63 = 15.87