Answer:
∫₂⁵ ln(x) dx
Step-by-step explanation:
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln((2n + 3i) / n)
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln(2 + (3/n) i)
The width of the interval is b−a = 3, and there are n rectangles. So the width of each rectangle is 3/n, and the height of each rectangle is ln(2 + (3/n) i).
The ith term is 2 + (3/n) i, so a = x₀ = 2. Therefore, b = 2+3 = 5.
So the region is the area under f(x) = ln(x) between x=2 and x=5.
∫₂⁵ ln(x) dx
Answer:
HA,BD,BF
Step-by-step explanation:
I believe the value of x would be 20.
Answer:
18 feet long.
Step-by-step explanation:
Let the bottom section be x feet long, then:
x/6 + x/2 + x = 180
Multiply through by 6:
x + 3x + 6x = 1080
10x = 1080
x = 108 feet,
So the top section = 108/6
= 18 feet long.
Answer:
0.095 miles per minute
Step-by-step explanation:
If Sophie traveled 25 feet in 3 seconds, then in 1 second she will travel
25/3 = 8.333 ft
But in 60 seconds make 1 minute, so in 1 minute, she will travel
(25/3) × 60 = 25 ×20
= 500 ft
Therefore in miles/minute, she was going
500/5280 = 0.095 miles per minute
