4×4=16 there are 16 cages all together
Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
![\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5D%20%3D%20%5Cdot%7Bx%7D%28t%29%20%3D%200)
Since
its derivative is

Equating this to zero, we get

This is a familiar quadratic equation whose roots are




This means that the particle will be at rest at t = 3 and t= 4.
Answer:
Step-by-step explanation:
You could do this one of 2 ways. First is to look at the graph and locate x = 0. That is the y-axis. ON the y axis, the cosine curve is at a y value of 1. Second way is to go to your calculator and, in degree mode, hit cos(0) and you'll see that it is 1.
Answer:
65 degrees
25 degrees
Step-by-step explanation:
x=first angle
y=second angle
x+y=90 x-y=40
x=40+y
(40+y)+y=90
40+2y=90
2y=50
y=25
x=40+25
x=65