Answer:
<h2>
The domain=3</h2>
Step-by-step explanation:
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 ).
B.
It can first be factored by splitting to:
(x + 1)(x^2 +4)
And (x^2 + 4) splits to x +/- 2i
Answer:
90 degrees
Step-by-step explanation:
Because AC is tangent to the circle at point C, the radius is perpendicular to the tangent line. This means that OAC = to 90 degrees
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