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
1 hundredth+3 tenths= 3 hundredths
40 miles per hour. if you take 60 divided by 1.5(the speed over time) you get 40mph
Answer:
See attachment.
Step-by-step explanation:
f(x) = 6x - 3
y = 6x - 2
Switch out x for y.
x = 6y - 2
Solve for y.
x + 2 = 6y
= y
Graph.
This is an obtuse angle.
Obtuse is big and a show-off, acute is cute and shy and small. right angle is striaght angle up and right-down...
