A trig identity is <span>asinucosu=<span>a/2</span>sin(2u)</span>So you can write your equation as<span>y=sin(x)cos(x)=<span>1/2</span>sin(2x)</span>Use the crain rule here<span><span>y′</span>=<span>d/<span>dx</span></span><span>1/2</span>sin(2x)=<span>1/2</span>cos(2x)<span>d/<span>dx</span></span>2x=cos(2x)</span>The curve will have horizontal tangents when y' = 0.<span><span>y′</span>=0=cos(2x)</span>On the interval [-pi, pi], solution to that is<span><span>x=±<span>π4</span>,±<span><span>3π</span>4</span></span></span>
Answer: 5/6
Step-by-step explanation:
2/3=4/6
1/6 + 4/6 = 5/6
Answer:
Mike's average monthly salary is $ 1,814.
Step-by-step explanation:
To determine Mike's average monthly salary, taking into account that he earns $ 284, $ 292, $ 418, $ 350, and $ 470 weekly, these amounts must be added for the 5-week duration of the month through the following calculation:
284 + 292 + 418 + 350 + 470 = X
1814 = X
Thus, given that this sum totals $ 1,814, Mike's average monthly salary is $ 1,814.
Answer:
you will get more money if he gives you 1 cent per day then doubles it
Step-by-step explanation:
if your brother gives you 25 cents per day, at the end of 10 days you will have $2.50
if he gives you 1 cent per day then doubles it, this will be your daily earnings:
day 1- 0.01
day 2- 0.02
day 3- 0.04
day 4- 0.08
day 5- 0.16
day 6- 0.32
day 7- 0.64
day 8- 1.28
day 9- 2.56
day 10- 5.12
then when you add all of this up, you would recieve 10.23 cents at the end of day 10
