Answer:
-2m would be the answer
Step-by-step explanation:
Answer:
The answer is "The correct step are 1, 2 and 4
".
Step-by-step explanation:
In the question some data is missing so, its correct question can be defined as follows:
In the given equation:
Lorena's steps should be evaluated
In Stage 1: It is right because it allocates – 3 to parentheses appropriately, , that's why she has 5k-6k+2-9=0
In Stage 2: It is right because in this term 5k and 2k are merged, that's why she got -k-7=0
In Stage 3: It is not right because the propagation property of fair treatment was not used.
In Stage 4: It is right because it multiplies the variable on one of the two sides by -1. So, k=-7 to get.
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:
1
Step-by-step explanation:
2(5)/10
10/10
18(.85) = 15.3
15.3(1.06) = 16.218
<span>$16.22
</span>