Question

32. f 3 tan 0 = 4, find the value of
5 sin 0 - 3 cos e
5 sin +2 cos e​

Answer 1

Answer:

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Answer 2

Answer:

F ( x ) = 3 sim x + 3 cos x

f ` ( x ) = 3 cos x - 3 sin x

f `` ( x ) = - 3 sin x - 3 cos x = - 3 ( sin x + cos x )

The inflection points:

- 3 ( sin x + cos x ) = 0

sin x + cos x = 0

sin x = - cos x / : cos x

tan x = - 1

x 1 = 3π / 4

x 2 = 7π / 4

The function is concave up when f``(x) > 0

- 3( sin x+ cos x ) > 0

sin x + cos x < 0

tan x < - 1

f is concave up for:

x ∈ ( π/2, 3π/4 ) ∪ ( 3π/2, 7π/4)

f is concave down for: 

x ∈ ( 0, π/2 ) ∪ ( 3π / 4, 3π/2 ) ∪ ( 7π / 4, 2 π ).

Step-by-step explanation: