The answer is d because 3x5=15
Answer:
The answer you are looking for is x = 3/10
Step-by-step explanation:
D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
72/x = 3.6/0.015 // - 3.6/0.015
72/x-(3.6/0.015) = 0
72/x-240 = 0
72*x^-1 = 240 // : 72
x^-1 = 10/3
-1 < 0
1/(x^1) = 10/3 // * x^1
1 = 10/3*x^1 // : 10/3
3/10 = x^1
x = 3/10
x = 3/10
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:
y = 5x -15
Step-by-step explanation:
slope/y-int from = y =mx+b
slope = y2-y1/x2-x2
slope = 0--15 / 3-0
slope = 15 / 3
slope = 5
y-int = -15
y = 5x-15
Hope it cleared your doubt.
