Answer:
a: 12 cm
b: I think it's 2.5 cm but someone might have to double check that
Step-by-step explanation:
G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²
It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4
Answer:
F(x)=(x-4)²+4
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: A.) 21/5 but as a mixed number it's 4 1/5 B.) 175/24 but as a mixed number it's 7 7/24
Step-by-step explanation:
