is the algebraic representation for an exponential function
Step-by-step explanation:
Given:
f(x + 1) = 4.f(x)
f(3) = 16
To Find:
Algebraic representation for an exponential function=?
Solution:
From the formula f(x+n) = f(x)
when n= 1, x= 3
f(3+1)= 4(1)f(3)
f(4)= 4f(3)
Substituting the value of f(3)
f(4)= 4f(3)
f(4)= 4 x 16
f(4)= 64
f(4)=
f (5) = x 16
f (5) = x
f(5)=
Similarly,
F(6) =
Hence,
Answer:
1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F
2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F
3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T
4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F
5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F
Step-by-step explanation:
The vector AB is the vectorial difference between point A and B, that is:
Given that and
, the vector AB is:
The vectorial equation of the line is represented by:
Where is the parametric variable, dimensionless. Given that
and
Finally, the list of questions are now checked:
1. 〈x,y,z〉=〈−1,−7,3〉+t〈−4,−5,−6〉 F
2. 〈x,y,z〉=〈−1,−7,3〉+t〈3,−2,9〉 F
3. 〈x,y,z〉=〈−1,−7,3〉+t〈4,5,6〉 T
4. 〈x,y,z〉=〈3,−2,9〉+t〈−1,−7,3〉 F
5. 〈x,y,z〉=〈3,−2,9〉+t〈4,5,6〉 F