g(θ) = 20θ − 5 tan θ
To find out critical points we take first derivative and set it =0
g(θ) = 20θ − 5 tan θ
g'(θ) = 20 − 5 sec^2(θ)
Now we set derivative =0
20 − 5 sec^2(θ)=0
Subtract 20 from both sides
− 5 sec^2(θ)=0 -20
Divide both sides by 5
sec^2(θ)= 4
Take square root on both sides
sec(θ)= -2 and sec(θ)= +2
sec can be written as 1/cos
so sec(θ)= -2 can be written as cos(θ)= -1/2
Using unit circle the value of θ is 
sec(θ)= 2 can be written as cos(θ)=1/2
Using unit circle the value of θ is 
For general solution we add 2npi
So critical points are

Answer:
0.25 ounces
Step-by-step explanation:
There are 28.3495 grams in an ounce. So we can create a ratio
. With this we can simplify into
by multiplying both sides by x and then dividing both sides by 28.3495. This simplified would leave you with 0.25 ounces (rounded to hundredths)
Brainliest would be appreciated!
Answer:
$84
Step-by-step explanation:
12:1 means for every dollar you bet you will win 12
so 7 x 12 = 84
you would win $84, you bet 7 so net profit would be 84-7 = $77
Net profit is $77