Step-by-step explanation:
The given inequality is :
Solving RHS of the inequality:
Adding 6 both sides of the inequality
The attached figure shows the graph for the given inequality.
The area between the two functions is 0
<h3>How to determine the area?</h3>
The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
Read more about areas at:
brainly.com/question/14115342
#SPJ1
Answer:
V = 141.37 cm³
Surface area = 150.80 cm²
i. Doubling the radius to 6 cm, while the height remains 5
Step-by-step explanation:
Given that :
Radius, r = 3cm
Height, h = 5cm
Volume , V of right cylinder :
V = πr²h
V = π * 3² * 5
V = 141.37166
V = 141.37 cm³
Surface Area :
2πr(h + r)
2 * π * 3(3 +5)
18.849555(8)
150.79644
= 150.80 cm²
Volume at r = 6 ; h = 5
V = π * 6² * 5
V = 565.48667 cm³
Volume at r = 3 ; h = 15
V = π * 3² * 15
V = 424.11500 cm³
To increase volume,
Answer:
7x^2 + 4x + 5
Step-by-step explanation:
hope that work
