Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer:
It's B
Step-by-step explanation:
Because I randomly guessed and that was the answer.
Answer:
15 and 12
Step-by-step explanation:
Set the two sides as x and y
y=x-3
P = 2w+2l
2x+2(x-3) = 54
4x-6=54
4x=60
x=15
y=12
She can spend 6 nights counting she didnt pay for a round trip(meaning back and forth)
150 times2=300
<span>500 euros =</span>$706.14
300-706.14=406.14
406.14 divided by 60= 6.769
45 would be able to go into 60 only 1 time, with a remainder of 15.
1 r^15
