Determine the concavity of f(x) = cos x + sin x on [0, 2

\pi

] and identify any points of inflection.
A) concave down on [0, 3

\pi

/4) $Determine the concavity of f(x) = cos x + sin x on [0, 2 \pi ] and identify any points of inflection. A) concave down on [0, 3 \pi /4) (7 \pi /4, 2 \pi ], concave on (3 \pi /4, 7 \pi /4); inflection points at x = 3 \pi /4 and B) concave up on [0, 3 \pi /4) (7 \pi /4, 2 \pi ], concave down on (3 \pi /4, 7 \pi /4); inflection points at x = 3 \pi /4 and C) concave down on [0, \pi /4) (5 \pi /4, 2 \pi ], concave up on ( \pi /4, 5 \pi /4); inflection points at x = \pi /4 and D) concave up on [0, \pi /4) (5 \pi /4, 2 \pi ], concave down on ( \pi /4, 5 \pi /4); inflection points at x = \pi /4 and E) concave down on (0, 3 \pi /4) (7 \pi /4, 2 \pi ), concave up on (3 \pi /4, 7 \pi /4); inflection points at x = 3 \pi /4 and$ (7

\pi

/4, 2

\pi

], concave on (3

\pi

/4, 7

\pi

/4); inflection points at x = 3

\pi

/4 and $Determine the concavity of f(x) = cos x + sin x on [0, 2 \pi ] and identify any points of inflection. A) concave down on [0, 3 \pi /4) (7 \pi /4, 2 \pi ], concave on (3 \pi /4, 7 \pi /4); inflection points at x = 3 \pi /4 and B) concave up on [0, 3 \pi /4) (7 \pi /4, 2 \pi ], concave down on (3 \pi /4, 7 \pi /4); inflection points at x = 3 \pi /4 and C) concave down on [0, \pi /4) (5 \pi /4, 2 \pi ], concave up on ( \pi /4, 5 \pi /4); inflection points at x = \pi /4 and D) concave up on [0, \pi /4) (5 \pi /4, 2 \pi ], concave down on ( \pi /4, 5 \pi /4); inflection points at x = \pi /4 and E) concave down on (0, 3 \pi /4) (7 \pi /4, 2 \pi ), concave up on (3 \pi /4, 7 \pi /4); inflection points at x = 3 \pi /4 and$
B) concave up on [0, 3

\pi

/4) 11ee7b09_453f_4329_ae82_2b7669cf7fd7_TB9661_11 (7

\pi

/4, 2

\pi

], concave down on (3

\pi

/4, 7

\pi

/4); inflection points at x = 3

\pi

/4 and 11ee77e1_7827_4392_a0f8_c913310a9fb4_TB9661_11
C) concave down on [0,

\pi

/4) 11ee7b09_453f_4329_ae82_2b7669cf7fd7_TB9661_11 (5

\pi

/4, 2

\pi

], concave up on (

\pi

/4, 5

\pi

/4); inflection points at x =

\pi

/4 and 11ee77e1_7827_4393_a0f8_6530a91cfcbe_TB9661_11
D) concave up on [0,

\pi

/4) 11ee7b09_453f_4329_ae82_2b7669cf7fd7_TB9661_11 (5

\pi

/4, 2

\pi

], concave down on (

\pi

/4, 5

\pi

/4); inflection points at x =

\pi

/4 and 11ee77e1_7827_6aa4_a0f8_19008de1a10d_TB9661_11
E) concave down on (0, 3

\pi

/4) 11ee7b09_453f_4329_ae82_2b7669cf7fd7_TB9661_11 (7

\pi

/4, 2

\pi

), concave up on (3

\pi

/4, 7

\pi

/4); inflection points at x = 3

\pi

/4 and 11ee77e1_7827_6aa5_a0f8_a1b06871ebbd_TB9661_11

Find the Area of the Largest Rectangle That Can Be

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