Answer:
x=-3, y=-6. (-3, -6).
Step-by-step explanation:
-9x+7y=-15
-8x+y=18
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y=18-(-8x)=18+8x=8x+18
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-9x+7(8x+18)=-15
-9x+56x+126=-15
47x+126=-15
47x=-15-126
47x=-141
x=-141/47
x=-3
-8(-3)+y=18
24+y=18
y=18-24=-6
x=-3, y=-6.
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 = 40.95d + 50.70 .......
Answer:
41.0501 ft²
Step-by-step explanation:
Area of a Sector (Radians): A = 1/2r²∅
We are given <em>r</em> and ∅, so simply plug it into the formula:
A = 1/2(5.6)²(5π/6)
A = 1/2(31.36)(5π/6)
A = 15.68(5π/6)
A = 41.0501 ft²
Answer:
p/2
Step-by-step explanation:
Written as a fraction, p/2 is the same as p divided by 2.
