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.
Just like you round to the rearst whole number 4 and below gose down 5 and up gose up
Answer:
g(x) = 2(x - 2)^2 + 2 plot (see attachment)
Step-by-step explanation:
Using the formula of the cone and cylinder given in my book, I've managed to give you an answer which is 4189 or to be exact 4188.80 as i used the information given to solve this problem
