Transcribed Text
(1 pt) Let
4
x +
Find the interval(s) over which f(x) is increasing.
f(x) is increasing for x in
(1 pt) Find the largest value of A such that the function f(x) = x3 + 4x2  2.c + 8 is decreasing for all x in the interval (0,A).
A =
.
(1 pt) Find the smallest value of A such that the function
f(t) = t4  17t² + 16
is increasing for all t in the interval (A,0).
A =
(1 pt) Suppose
1
=
Find the largest value of A such that the function h(s) is increasing for all S in the interval (oo,A).
A =
(1 pt) Find the maximum value of g(t) = t3  36t + 5 on the interval 3,6].
The maximum value is
TOV
of
TYOAL
(1 pt) Suppose f(t) = 3t3 + 4t² + 4t  5. Find the value of t in the interval [1,8] where f(t) takes on its minimum value.
f(t) takes its minimum value at t =
(1 pt) Suppose g' (t) =(t1)(t7)(t9). Find the largest value of A such that the function g(t) is increasing for all t in the
interval (1,A).
A =
(1 pt) Suppose the derivative of H(s) is given by H'(s) 1=82(82++4)(st6). = Find the value of S in the interval [100,100]
where H (s) takes on its minimum value.
H (s) takes its minimum value at

(1 pt) Suppose
= 7 2
(s  15)
Find the S values in the interval [7,9 where h(s) takes its minimum.
S =
(1 pt) Suppose g(x) = VET . Find the value of x in the interval [6, 00) where g(x) takes on its
maximum value.
g(x) takes its maximum value at x =
(1 pt) Find the t value(s) is the interval (0, 00) where the function
= et/2
attains its local or absolute minimum value(s).
The minimum(s) are t =
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