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.
(8 x 320)^1/3
(2560)^1/3
(64*40)^1/3
64^1/3 *40^1/3
4 * (8^1/3) * 5^1/3
4 * 2 * 5^1/3
8 *5^1/3
None of your choices are written correctly
5 (3f-8g) 2g
*distribute the 5
15f-40g×2g
(im assuming its multiplication since there are no signs that say otherwise)
15f-80g
The amount credited to paid in capital - treasury stock is $3,500.
<h3><u>Capital-treasury stocks</u></h3>
To determine what is the amount credited to paid in capital - treasury stock, the following calculation must be performed:
- 1000 x 5 - 500 x 17 = X
- 5000 - 8500 = X
- -3500 = X
Therefore, the amount credited to paid in capital - treasury stock is $3,500.
Learn more about capital - treasury stocks in brainly.com/question/25715888
Answer:
The line with be duchess with shading below.
None of the above
Step-by-step explanation:
The correct inequality expression is;
y < 2x+3
Note that the inequality sign between the expressions is the one that will determine the nature of the line.
Since the sign is not containing the "equal to" sign this means that the line will be broken(duchess).
Since it is "less than", the shading will be below the line.
Considering the given option, None of the option is correct
