It’s gonna have to b since it’s decreasing
Answer:Esotericism
Explanation:
it’s something that’s in intentional out of body experience
We are given that,
![\frac{dx}{dt} = 4ft/s](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%204ft%2Fs)
We need to find
when ![x=8ft](https://tex.z-dn.net/?f=x%3D8ft)
The equation that relates x and
can be written as,
![\frac{x}{6} tan\theta](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B6%7D%20tan%5Ctheta)
![x = 6tan\theta](https://tex.z-dn.net/?f=x%20%3D%206tan%5Ctheta)
Differentiating each side with respect to t, we get,
![\frac{dx}{dt} = \frac{dx}{d\theta} \cdot \frac{d\theta}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%5Cfrac%7Bdx%7D%7Bd%5Ctheta%7D%20%5Ccdot%20%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D)
![\frac{dx}{dt} = (6sec^2\theta)\cdot \frac{d\theta}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%286sec%5E2%5Ctheta%29%5Ccdot%20%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D)
![\frac{d\theta}{dt} = \frac{1}{6sec^2\theta} \cdot \frac{dx}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B6sec%5E2%5Ctheta%7D%20%5Ccdot%20%5Cfrac%7Bdx%7D%7Bdt%7D)
Replacing the value of the velocity
![\frac{d\theta}{dt} = \frac{1}{6} cos^2\theta (4)^2](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B6%7D%20cos%5E2%5Ctheta%20%284%29%5E2)
![\frac{d\theta}{dt} = \frac{8}{3} cos^2\theta](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D%20%3D%20%5Cfrac%7B8%7D%7B3%7D%20cos%5E2%5Ctheta)
The value of
could be found if we know the length of the beam. With this value the equation can be approximated to the relationship between the sides of the triangle that is being formed in order to obtain the numerical value. If this relation is known for the value of x = 6ft, the mathematical relation is obtained. I will add a numerical example (although the answer would end in the previous point) If the length of the beam was 10, then we would have to
![cos\theta = \frac{6}{10}](https://tex.z-dn.net/?f=cos%5Ctheta%20%3D%20%5Cfrac%7B6%7D%7B10%7D)
![\frac{d\theta}{dt} = \frac{8}{3} (\frac{6}{10})^2](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D%20%3D%20%5Cfrac%7B8%7D%7B3%7D%20%28%5Cfrac%7B6%7D%7B10%7D%29%5E2)
![\frac{d\theta}{dt} = \frac{24}{25}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctheta%7D%7Bdt%7D%20%3D%20%5Cfrac%7B24%7D%7B25%7D)
Search light is rotating at a rate of 0.96rad/s
B: new technology allowed microscopes to make it easier to view things that had never been seen before, such as cells
C: new technology allowed microscopes to produce still images on a computer screen
D: new technology allowed to create realistic three-dimensional pictures
E: new technology allowed microscopes to map the atom on the surface of an object