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 ).
Answer:
6 cm.
Step-by-step explanation:
The perimeter = 2(H + W) where H = height and W = width. So we have:
30 = 2(9 + W)
30 = 18 + 2W
2W = 30 - 18 = 12
W = 6 cm.
4.45 if you were trying to accurately show the decimal of acers of area halfway across the park.
Since the quantity under a square root must be greater than or equal to zero, you would solve for x by subtracting two, to get that 1/3x must be greater than or equal to zero, then divide by 1/3 on both sides to get that x must be greater than or -6, so the last answer is correct
Answer:
Step-by-step explanation:
