F ( -1 ) = 2 · ( -1 )³ - 3 · ( -1 )² +7 =
= 2 · ( -1 ) - 3 · 1 + 7=
= - 2 - 3 + 7 = 2
There are 25+17=42 white/blue cards, and 21+9=30 silver/red cars. Then, we have a difference of 42-30=12 cars.
It would be irrational, there is a math calculator called math papa if you need to check your answer
Answer:
Step-by-step explanation:
The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.
Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.
Step-by-step explanation:
![f(s)=s^3-s^2](https://tex.z-dn.net/?f=f%28s%29%3Ds%5E3-s%5E2)
at s = -3
![f(-3)=-3^3-(-3)^2=18](https://tex.z-dn.net/?f=f%28-3%29%3D-3%5E3-%28-3%29%5E2%3D18)
at s = -2
![f(-2)=-2^3-(-2)^2\\\Rightarrow f(-2)=-12](https://tex.z-dn.net/?f=f%28-2%29%3D-2%5E3-%28-2%29%5E2%5C%5C%5CRightarrow%20f%28-2%29%3D-12)
at s = -1
![f(-1)=-1^3-(-1)^2\\\Rightarrow f(-1)=-2](https://tex.z-dn.net/?f=f%28-1%29%3D-1%5E3-%28-1%29%5E2%5C%5C%5CRightarrow%20f%28-1%29%3D-2)
at s = 0
![f(0)=0^3-0^2\\\Rightarrow f(0)=0](https://tex.z-dn.net/?f=f%280%29%3D0%5E3-0%5E2%5C%5C%5CRightarrow%20f%280%29%3D0)
at s = 1
![f(1)=1^3-1^2\\\Rightarrow f(1)=0](https://tex.z-dn.net/?f=f%281%29%3D1%5E3-1%5E2%5C%5C%5CRightarrow%20f%281%29%3D0)
at s = 2
![f(2)=2^3-2^2\\\Rightarrow f(2)=4](https://tex.z-dn.net/?f=f%282%29%3D2%5E3-2%5E2%5C%5C%5CRightarrow%20f%282%29%3D4)
at s = 3
![f(3)=3^3-3^2\\\Rightarrow f(3)=18](https://tex.z-dn.net/?f=f%283%29%3D3%5E3-3%5E2%5C%5C%5CRightarrow%20f%283%29%3D18)
First difference
![f(-2')=f(-2)-f(-3)=-12-18=-30](https://tex.z-dn.net/?f=f%28-2%27%29%3Df%28-2%29-f%28-3%29%3D-12-18%3D-30)
![f(-1')=f(-1)-f(-2')=-2--12=10](https://tex.z-dn.net/?f=f%28-1%27%29%3Df%28-1%29-f%28-2%27%29%3D-2--12%3D10)
![f(0')=f(0)-f(-1)=0--2=2](https://tex.z-dn.net/?f=f%280%27%29%3Df%280%29-f%28-1%29%3D0--2%3D2)
![f(1')=f(1)-f(0)=0-0=0](https://tex.z-dn.net/?f=f%281%27%29%3Df%281%29-f%280%29%3D0-0%3D0)
![f(2')=f(2)-f(1)=4-0=4](https://tex.z-dn.net/?f=f%282%27%29%3Df%282%29-f%281%29%3D4-0%3D4)
![f(3')=f(3)-f(2)=18-4=14](https://tex.z-dn.net/?f=f%283%27%29%3Df%283%29-f%282%29%3D18-4%3D14)
Second difference
![f(-1'')=f(-1')-f(-2')=10--30=40](https://tex.z-dn.net/?f=f%28-1%27%27%29%3Df%28-1%27%29-f%28-2%27%29%3D10--30%3D40)
![f(0'')=f(0')-f(-1')=-8-40=-48](https://tex.z-dn.net/?f=f%280%27%27%29%3Df%280%27%29-f%28-1%27%29%3D-8-40%3D-48)
![f(1'')=f(1')-f(0')=-2--8=6](https://tex.z-dn.net/?f=f%281%27%27%29%3Df%281%27%29-f%280%27%29%3D-2--8%3D6)
![f(2'')=f(2')-f(1')=14-4=10](https://tex.z-dn.net/?f=f%282%27%27%29%3Df%282%27%29-f%281%27%29%3D14-4%3D10)
Third difference
![f(0'')-f(-1'')=-8-40=48](https://tex.z-dn.net/?f=f%280%27%27%29-f%28-1%27%27%29%3D-8-40%3D48)
![f(1'')-f(0'')=-2--8=6](https://tex.z-dn.net/?f=f%281%27%27%29-f%280%27%27%29%3D-2--8%3D6)
![f(2'')-f(1'')=4--2=6](https://tex.z-dn.net/?f=f%282%27%27%29-f%281%27%27%29%3D4--2%3D6)
![f(2'')-f(1'')=10-4=6](https://tex.z-dn.net/?f=f%282%27%27%29-f%281%27%27%29%3D10-4%3D6)
18 -12 -2 0 0 4 18
-30 10 2 0 4 14
40 -8 -2 4 10
-48 6 6 6