1 point
Consider the following function
p
:
R
→
R
p:R→R
p
(
t
)
=
{
8
e
(
t
−
5
)
−
8
t
−
5
if
0
≤
t
<
5
,
8
t
=
5
8
(
t
2
−
25
)
1
ln
(
t
−
5
)
if
t
>
5
p(t)=
⎩
⎨
⎧
t−5
8e
(t−5)
−8
8
8(t
2
−25)
ln(t−5)
1
if 0≤t<5,
t=5
if t>5
If linear function
L
p
(
t
)
=
A
t
+
B
L
p
(t)=At+B denotes the best linear approximation of the function
p
(
t
)
p(t) at the point
t
=
1
t=1, find the value of
−
8
e
−
4
−
1
(
A
+
B
)
e
−4
−1
−8
(A+B)
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