SOLUTION: consider
f(t)=−t2+nt+c
defined for all real numbers, where n,c
are both arbitrary constants. The function (f) has a maximum at t*=__________ and its value
is f(t*)=________
Algebra ->
Coordinate Systems and Linear Equations
-> Lessons
-> SOLUTION: consider
f(t)=−t2+nt+c
defined for all real numbers, where n,c
are both arbitrary constants. The function (f) has a maximum at t*=__________ and its value
is f(t*)=________
Log On
Question 1147377: consider
f(t)=−t2+nt+c
defined for all real numbers, where n,c
are both arbitrary constants. The function (f) has a maximum at t*=__________ and its value
is f(t*)=_______________. (Hint: Your last two answers should be formulas that depend on n
n or c, Simplify your answer before writing it on the box).
You can put this solution on YOUR website! maximum is at vertex where t value is -b/2a, b is n and a -1.
this is at t=-n/-2 or n/2
The value is -n^2/4+n^2/2+c
Another form is (1/4)(-n^2+2n^2)+c or (n^2/4)+c or (n^2+4c)/4
