Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.
Answer: 6/50
Step-by-step explanation:
Answer:
x >4 or x < -12/5
Step-by-step explanation:
An absolute value has 2 solutions, a positive and a negative. Remember to flip the inequality for the negative solution
|5x-4|>16
5x-4 > 16 5x-4 < -16
Add 4 to each side
5x-4 +4> 16+4 or 5x-4+4 < -16+4
5x > 20 or 5x < -12
Divide each side by 5
5x/5 > 20/5 or 5x/5 < -12/5
x >4 or x < -12/5
Y= to the absolute function of x?
<span>
</span>
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
