Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.
we need help? can somebody answer this question
Answer:
what is Never Have I Ever
Step-by-step explanation:
We are given that the titanic is found 3,797 m below sea
level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one
decimal.
We should take note that the letter k in km means kilo and
a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000
m. So to convert, simply multiply a value with unit m with this conversion
factor. Conversion factor = 1 km / 1000 m
Depth of titanic = 3,797 m (1 km / 1000 m)
<span>Depth of titanic = 3.797 km = 3.8 km</span>