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Question 27 - Week 8 Practice | Prasnya
Q27
00:00
6 Aug 2023
Q27.
Which of the following options is/are true for the function
f
(
x
)
f(x)
f
(
x
)
at
x
=
1
x=1
x
=
1
?
@passage
A
The best linear approximation is
L
f
(
x
)
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
L_f(x)=(4\sin1-2\cos1)x-2\sin1+2\cos1+5
L
f
(
x
)
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
B
The best linear approximation is
L
f
(
x
)
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
L_f(x)=(4\sin1+2\cos1)x-2\sin1+2\cos1+5
L
f
(
x
)
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
C
The tangent line is
y
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
y=(4\sin1+2\cos1)x-2\sin1+2\cos1+5
y
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
D
The tangent line is
y
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
y=(4\sin1-2\cos1)x-2\sin1+2\cos1+5
y
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
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Q27
00:00
6 Aug 2023
Q27.
Which of the following options is/are true for the function
f
(
x
)
f(x)
f
(
x
)
at
x
=
1
x=1
x
=
1
?
@passage
A
The best linear approximation is
L
f
(
x
)
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
L_f(x)=(4\sin1-2\cos1)x-2\sin1+2\cos1+5
L
f
(
x
)
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
B
The best linear approximation is
L
f
(
x
)
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
L_f(x)=(4\sin1+2\cos1)x-2\sin1+2\cos1+5
L
f
(
x
)
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
C
The tangent line is
y
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
y=(4\sin1+2\cos1)x-2\sin1+2\cos1+5
y
=
(
4
sin
1
+
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
D
The tangent line is
y
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
y=(4\sin1-2\cos1)x-2\sin1+2\cos1+5
y
=
(
4
sin
1
−
2
cos
1
)
x
−
2
sin
1
+
2
cos
1
+
5
.
Save
Read
Check
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