Use the Following Function and a Graphing Calculator to Answer$f ( x ) = \sqrt { 2 x } + 1.1 \sin x , [ 0,2 \pi ]$

Question

Examlex · Accepted Answer

The Answer is a).
$a). Solid line: \mathrm { f } ( \mathrm { x } ) ; dashed line: \mathrm { f } ^ { \prime } ( \mathrm { x } ) b). See figure above. f ^ { \prime } ( x ) = 0 at x = 4.4040 and x = 2.0379 . Critical points of f ( x ) are ( 4.4040,1.9197 ) and ( 2.0379,3.0010 ) . c). f ^ { \prime } ( x ) is undefined at the endpoint x = 0 . d). Endpoints are ( 0,0 ) and ( 2 \pi , 3.5449 ) . e). Absolute minimum: ( 0,0 ) ; absolute maximum ( 2 \pi , 3.5449 ) .$
Solid line:

\mathrm { f } ( \mathrm { x } )

; dashed line:

\mathrm { f } ^ { \prime } ( \mathrm { x } )

b). See figure above.

f ^ { \prime } ( x ) = 0

at

x = 4.4040

and

x = 2.0379

.
Critical points of

f ( x )

are

( 4.4040,1.9197 )

and

( 2.0379,3.0010 )

.
c).

f ^ { \prime } ( x )

is undefined at the endpoint

x = 0

.
d). Endpoints are

( 0,0 )

and

( 2 \pi , 3.5449 )

.
e). Absolute minimum:

( 0,0 )

; absolute maximum

( 2 \pi , 3.5449 )

.

Use the Following Function and a Graphing Calculator to Answer $f ( x ) = \sqrt { 2 x } + 1.1 \sin x , [ 0,2 \pi ]$

Definitions:

Use the Following Function and a Graphing Calculator to Answer f(x)=2x+1.1sin⁡x,[0,2π]f ( x ) = \sqrt { 2 x } + 1.1 \sin x , [ 0,2 \pi ]f(x)=2x​+1.1sinx,[0,2π]

Definitions:

Use the Following Function and a Graphing Calculator to Answer $f ( x ) = \sqrt { 2 x } + 1.1 \sin x , [ 0,2 \pi ]$