SOLUTION: i. Evaluate the function f(t) = t^3/3 – 2t^2 − 45t + 58 for extreme values and classify them.
ii. What is the value of t at the point of inflection?
Please assist
Algebra.Com
Question 1076744: i. Evaluate the function f(t) = t^3/3 – 2t^2 − 45t + 58 for extreme values and classify them.
ii. What is the value of t at the point of inflection?
Please assist
Thank you
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You have to calculate derivatives.
That derivative function is
negative for
(meaning f(t) decreases in that interval);
it is zero at and
(indicating local extreme values of the function),
and the derivative is positive for any other value
(indicating that f(t) is increasing).
So, f(t) increases with t for ,
reaches a local maximum at ,
decreases until reaching a local minimum at ,
and then increases for .
There is no absolute minimum or maximum.
and
.
For inflection points,
we need the second derivative.
shows you that the inflection point is at
.
RELATED QUESTIONS
1) Find the smallest positive value of t for which f(t) = 2 sin (2t − π/6) is... (answered by lwsshak3)
Please help,
Consider the trigonometric function f (t) = −1 + 4 sin( 1 π(t... (answered by Fombitz)
Please help, I posted this question earlier only to realise I had put 1π instead of... (answered by Edwin McCravy,Theo)
Find the derivatives of the following functions.
1. f(t) = t^11
2. g(t) = 6√t
(answered by Alan3354)
For the function f(t)= 2t+1/5
(a) Evaluate f(2)
f(2)=
(b) Solve f(t)=4... (answered by Alan3354)
For the function f(t)=(2t+3)/(5) Solve... (answered by stanbon)
Consider the trigonometric function f(t)= 6 + 4cos(4πt).
(i) What is the... (answered by stanbon)
consider the matrix p (t+2 3t t+1)
0 t-1 0
(answered by ikleyn)
The position function of a moving object is {{{ s(t) = t^4 - (-4/3)(t)^3 + (3/2)(t)^2... (answered by ikleyn)