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:
x=11
Step-by-step explanation:
5x+13=9x-31
subtract 9 from both sides.
-4x+13=-31
you want to isolate the x value so subtract 13 from both sides.
-4x=-44
now divide both sides by -4.
x=11
1.36*10^7
where the 36 repeats so 36363636363636... and so on
Hello there,
The "prime factor's" of 1,386 would be "2*3*3*7*11.
When we multiply those together. We get 1,386.
Hope this helps.
~Jurgen
Answer:
10
Step-by-step explanation:
the radius is from center out.
