Neither one will ever hit the axis I think? if its x=3.5 then its horizontal but its above the x axis. Same with the second one. its vertical and will never hit the y axis. Not sure how to write that into those boxes but I think there isn't an intercept.
<h2>
The top of the ladder is descending at 0.3 m/s.</h2>
Step-by-step explanation:
By Pythagoras theorem we know that
Hypotenuse² = Base² + Perpendicular²
h² = b² + p²
We have for ladder
h = 5 m
b = 3 m
5² = 3² + p²
p = 4 m
![\frac{db}{dt}=0.4m/s\\\\\frac{dh}{dt}=0](https://tex.z-dn.net/?f=%5Cfrac%7Bdb%7D%7Bdt%7D%3D0.4m%2Fs%5C%5C%5C%5C%5Cfrac%7Bdh%7D%7Bdt%7D%3D0)
Differentiating h² = b² + p² with respect to time
![2h\times \frac{dh}{dt}=2b\times \frac{db}{dt}+2p\times \frac{dp}{dt}\\\\5\times 0=3\times 0.4+4\times \frac{dp}{dt}\\\\\frac{dp}{dt}=-0.3m/s](https://tex.z-dn.net/?f=2h%5Ctimes%20%5Cfrac%7Bdh%7D%7Bdt%7D%3D2b%5Ctimes%20%5Cfrac%7Bdb%7D%7Bdt%7D%2B2p%5Ctimes%20%5Cfrac%7Bdp%7D%7Bdt%7D%5C%5C%5C%5C5%5Ctimes%200%3D3%5Ctimes%200.4%2B4%5Ctimes%20%5Cfrac%7Bdp%7D%7Bdt%7D%5C%5C%5C%5C%5Cfrac%7Bdp%7D%7Bdt%7D%3D-0.3m%2Fs)
The top of the ladder is descending at 0.3 m/s.
Answer:
This is Conplementary and adjacent
Step-by-step explanation: Complementary means they add up to 90 degrees and they are right next to each other
Answer:
A.) Max at x = 6 and Min at x = -6
Step-by-step explanation:
We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.