Well the green path would b shorter so i would say c .. hope this helps!
We can find this using the formula: L= ∫√1+ (y')² dx
First we want to solve for y by taking the 1/2 power of both sides:
y=(4(x+1)³)^1/2
y=2(x+1)^3/2
Now, we can take the derivative using the chain rule:
y'=3(x+1)^1/2
We can then square this, so it can be plugged directly into the formula:
(y')²=(3√x+1)²
<span>(y')²=9(x+1)
</span>(y')²=9x+9
We can then plug this into the formula:
L= ∫√1+9x+9 dx *I can't type in the bounds directly on the integral, but the upper bound is 1 and the lower bound is 0
L= ∫(9x+10)^1/2 dx *use u-substitution to solve
L= ∫u^1/2 (du/9)
L= 1/9 ∫u^1/2 du
L= 1/9[(2/3)u^3/2]
L= 2/27 [(9x+10)^3/2] *upper bound is 1 and lower bound is 0
L= 2/27 [19^3/2-10^3/2]
L= 2/27 [√6859 - √1000]
L=3.792318765
The length of the curve is 2/27 [√6859 - √1000] or <span>3.792318765 </span>units.
Answer:
Step-by-step explanation:
1. undefined
2.undefined
3.undefined
6. undefined
thats all i know
Answer:
x = - 9, x = - 4
Step-by-step explanation:
Set (x +)(x + 9) equal to zero, that is
(x + 4)(x + 9) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 9 = 0 ⇒ x = - 9
Thus
x = - 9, x = - 4
Answer:
Vertex angle = 124°
Step-by-step explanation:
m<BAC = m<BCA (base angles of isosceles ∆ are congruent)
7x + 1 = 5x + 9
Collect like terms
7x - 5x = -1 + 9
2x = 8
divide both sides by 2
x = 4
Vertex angle = 180 - ((7x + 1) + (5x + 9)) (sum of triangle)
Plug in the value of x
Vertex angle = 180 - ((7*4 + 1) + (5*4 + 9))
Vertex angle = 180 - (29 + 29)
Vertex angle = 124°
