The numeric constant of variation is 100
Step-by-step explanation:
Direct proportion means that increase in one variable cause increase in other variable
Here,
It is given that
y varies directly as x
y∝x
when the proportionality symbol is removed a proportionality constant is introduced
Given that
y = 100 when x = 4
Putting the values
The numeric constant of variation is 100
Keywords: Proportion variation
Learn more about direct proportion at:
#LearnwithBrainly
First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
11.16 repeat only the six is repeating
The critical points are at x = 1 and x = 4 giving you the intervals (-inf, 1), (1, 4) and (4, inf).
By substituting x values in these 3 intervals, you can see that f'(x) is positive in the first and third intervals and negative in the second interval.
This means that f(x) is increasing in the first and third intervals and decreasing in the second interval.
The answer is D.
Answer:
2,500) (60,000
brain pls
Step-by-step explanation:
