Answer:
1/2
Step-by-step explanation:
Answer:
b) 2x + y = -4
Step-by-step explanation:
To go from the Point-Slope Formula [y - y₁ = m(x - x)₁] to the Slope-Intercept Formula [y = mx + b], move -1 to the RIGHT side of the equivalence symbol to get this: y = -2x - 4. Although this is a correct answer choice, this is NOT what the question is looking for because you have to go an extra step further, Standard Formula. To go from the Slope-Intercept Formula to the Standard Formula [Ax + By = C], move 2x to the LEFT side of the equivalence symbol, and you will end up with this: 2x + y = -4. So, your answer is b).
The given function is
![y=sin(kt)](https://tex.z-dn.net/?f=y%3Dsin%28kt%29)
Differentiating
![y'=kcos(kt)](https://tex.z-dn.net/?f=y%27%3Dkcos%28kt%29)
Again differentiating
![y''=-k^2 sin(kt)](https://tex.z-dn.net/?f=y%27%27%3D-k%5E2%20sin%28kt%29)
Substituting the values of y '' and y in
![y''+19y=0](https://tex.z-dn.net/?f=y%27%27%2B19y%3D0)
We will get
![-k^2 sin(kt)+19sin(kt)=0 \\ sin(kt) (19-k^2)=0 sin(kt) =0, 19-k^2=0 \\ kt = \pi n , k =+- \sqrt{19} \\ k = \frac{ \pi n}{t} , - \sqrt{17}, \sqrt{17}](https://tex.z-dn.net/?f=-k%5E2%20sin%28kt%29%2B19sin%28kt%29%3D0%0A%5C%5C%0Asin%28kt%29%20%2819-k%5E2%29%3D0%0Asin%28kt%29%20%3D0%2C%2019-k%5E2%3D0%0A%5C%5C%0Akt%20%3D%20%5Cpi%20n%20%2C%20k%20%3D%2B-%20%5Csqrt%7B19%7D%0A%5C%5C%0Ak%20%3D%20%5Cfrac%7B%20%5Cpi%20n%7D%7Bt%7D%20%2C%20-%20%5Csqrt%7B17%7D%2C%20%5Csqrt%7B17%7D)
Answer: Proportion - y/x = 1.93/23
Step-by-step explanation:
y= y=1.93/23x