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.
Substitute a number for each variable
Ex.
2x x=5
(2)(5)
=10
Answer:
A triangle has sides of lengths 9,7, and 12 is not a right triangle .
Answer:
Step-by-step explanation:
Possibilities (G for girls and B for boys):
GGG
GGB
GBG
<u>GBB
</u>
BGG
<u>BGB
</u>
<u>BBG
</u>
BBB
