Y'sinx=ylny, is equivalent to <span>dy / dx (sinx=ylny, and </span><span>dy sinx=ylny dx
it is similar to dy/</span>ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx)
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x
Answer:
A. 5.19 units
Step-by-step explanation:

Given:
= 81°- Arc length = 7.34 units
Substituting given values into the equation and solving for r:






Answer:
y = 5
Step-by-step explanation:
The y-axis and any lines that are parallel to it are vertical. Therefore, a line that would be perpendicular to the y-axis would need to be horizontal. All horizontal lines have a slope equal to 0 and are represented by the equation y = a constant, or a single number with no variables.
The only option that follows that format is y = 5, thus that is the answer.
N.B. I believe your question is saying that the price of a cup of coffee was $2.40 yesterday, and it rose to $2.65 today. Therefore, I will solve with these prices.
The percent increase is 10.41666666% (The 6 is repeating.).
First, you find the difference, or increase, between the two prices.
New price - Old price = Increase
$2.65 - $2.40 = $0.25
The difference between the two prices is $0.25. To find the percent increase, you want to divide the original price ($2.40) from the increase ($0.25) and multiply by 100.
Increase ÷ Original Price × 100 = % increase
0.25 ÷ 2.40 × 100 = 10.41666666%
The percent increase is 10.41666666% (The 6 is repeating.).
Distribution method
(2x+6)(2x-6)
=4x^2-12x+12x-36
=4x^2-36