Answer:
x<-32
Step-by-step explanation:
I hope this helped have a good night
Answer:
See the explanation
Step-by-step explanation:
We know that
f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x
Lets calculate the derivatives:
f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)
f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x
Similarly:
f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x
f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x
Rearrange:
f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24
f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x
Rearrange:
f''''(x) = 720x² + (24/x⁵) - 16sin2x +72
Answer:
1 Original amount: 20
End amount: 15
<h3>(20 - 15)/20 x 100 = (5/20) x 100 = 25% decrease</h3>
2 Original amount: 30
End amount: 45
<h3>
(45 - 30)/30 x 100 = (15/30) x 100 = 50% increase </h3>
3 Original amount: 625
End amount: 550
<h3>
550/625 =550 ÷ 625 =0.88</h3><h3>
0.88 =0.88 × 100/100 =(0.88 × 100)/100 =88/100 =88% decrease</h3>
4 Original amount: 320
End amount: 112
<h3>
(112-320):320x100 =</h3><h3>
100 =(112:320-1)x100 =</h3><h3>
100 =35-100 = -65% decrease</h3>
5 Original amount: 165
End amount: 222.75
<h3>
165/222.75 =165 ÷ 222.75 ≈0.740740740740741</h3><h3>
0.740740740740741 =0.740740740740741 × 100/100 =(0.740740740740741 × 100)/100 ≈74.074074074074/100 =74.074074074074% ≈74.07% Increase </h3>
6 Original amount: 326
End amount: 423.80
<h3>
(423.8-326):326x100 =</h3><h3>
100 =(423.8:326-1)x100 =</h3><h3>
100 =130-100 = 30% Increase </h3>
7 Original amount: 27
End amount: 38.61
<h3>
(38.61-27):27x100 =</h3><h3>
100 =(38.61:27-1)x100 =</h3><h3>
100 =143-100 = 43% Increase</h3>
8 Original amount: 60
End amount: 70.02
<h3>
(70.02-60):60x100 =</h3><h3>
100 =(70.02:60-1)x100 =</h3><h3>
100 =116.7-100 = 16.7% Increase</h3>
Answer:
it's B it could also be written as y=3x+30
Step-by-step explanation: