So, I came up with something like this. I didn't find the final equation algebraically, but simply "figured it out". And I'm not sure how much "correct" this solution is, but it seems to work.
![f(x)=\sin(\omega(x))\\\\f(\pi^n)=\sin(\omega(\pi^n))=0, n\in\mathbb{N}\\\\\\\sin x=0 \implies x=k\pi,k\in\mathbb{Z}\\\Downarrow\\\omega(\pi^n)=k\pi\\\\\boxed{\omega(x)=k\sqrt[\log_{\pi} x]{x},k\in\mathbb{Z}}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csin%28%5Comega%28x%29%29%5C%5C%5C%5Cf%28%5Cpi%5En%29%3D%5Csin%28%5Comega%28%5Cpi%5En%29%29%3D0%2C%20n%5Cin%5Cmathbb%7BN%7D%5C%5C%5C%5C%5C%5C%5Csin%20x%3D0%20%5Cimplies%20x%3Dk%5Cpi%2Ck%5Cin%5Cmathbb%7BZ%7D%5C%5C%5CDownarrow%5C%5C%5Comega%28%5Cpi%5En%29%3Dk%5Cpi%5C%5C%5C%5C%5Cboxed%7B%5Comega%28x%29%3Dk%5Csqrt%5B%5Clog_%7B%5Cpi%7D%20x%5D%7Bx%7D%2Ck%5Cin%5Cmathbb%7BZ%7D%7D)
The last number line the correct answer!
-2a-5>3
-2a>8
a<-4
( the sign is flipped in the end because when you multiply or divide by a negative number, the sign flips the other way around)
Answer: 32.23°
Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B
The distance from the helicopter to the car and the road forms a right triangle
=> ΔABC is a right triangle at B
=> the angle of depression from the helicopter from the car is ∠ACB
we have: ΔABC is a right triangle => sin ∠ACB = 24/45
=> m∠ACB = 32.23°
Step-by-step explanation:
Answer:
=c+114
Step-by-step explanation:
Answer:
y = -1/3x -3
Step-by-step explanation:
-2x - 6y = 18
We want to solve for y since the slope intercept form is y =mx+b where m is the slope and b is the y intercept
Add 2x to each side
-2x-6y +2x = 2x+18
-6y = 2x+18
Divide each side by -6
-6y/-6 = 2x/-6 + 18/-6
y = -1/3x -3
This is in slope intercept form with the slope -1/3 and the y intercept -3
