Answer:
below
Step-by-step explanation:
if positive increases
if negative decreases
Answer:
<em>s</em> = .25<em>a</em>
Step-by-step explanation:
if <em>s</em> is Salina's age, and we know that she is 1/4 (.25) her aunt's age, then ONE QUARTER (.25) times AUNT'S AGE (<em>a</em>) = SALINA'S AGE (<em>s</em>)
a. We're looking for 
such that
b. Integrating with respect to 
will make things easier.
(where we take the positive square root because we know 
)
Now we want to find 
such that
This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]
