Step-by-step explanation:
hi I have answered ur question
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:
<h2>C) the length of each shape will alternate between even and odd numbers</h2>
Step-by-step explanation:
the rest are incorrect
About 3.606, if you round it.
Answer:
232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]
Explanation:
16 - 8 / 15 =
(16) - (8 / 15) =
((16 × 15) / 15) - ((8) / 15) =
((240) / 15) - ((8) / 15) =
(240 - 8) / 15 =
232 / 15 =
15 7/15
