DNV-RP-F109 On Bottom Stability Analysis

INPUTS= Input= Results

Pipeline Tag = WIP to WHP-DComponent = Subsea PipelineComponent Type = OthersDesign Code = ASME B31.4Material = API 5L X52Design Pressure P = 22010 KPa

Design Temperature T = 82 C

Future corrosion Allowance FCA = 0 mm

LOSS = 0 mm

Weld Joint Efficiency E = 1Type Of sea Bed (Clay/Sand) SandSeabed Roughness Silt and ClayDensity Internal Content Pi = 1025 (Kg/m3)

Density of steel Pst = 7850 (Kg/m3)

Density of concrete coating Pc = 3043.5 (Kg/m3)

Density of corrosin coating Pcc = 1335 (Kg/m3)

Density of water Pw = 1025 (Kg/m3)

Steel pipe outer diameter Dst = 219 mm

Steel wall thickness Tst = 12.7 mm

Concrete Coating thickness Tc = 82.55 mm

Corrosion Coating thickness Tcc = 5.5 mm

Peak Period (Design Spectrum)-10 years Tp = 10.8 sec

Peak Period (Design Spectrum)-100 years Tp = 11.7 sec

Significant Wave Height (10 years) Hs = 4.68 m

Significant Wave Height (100 years) Hs = 5.24 m

water depth d = 13 m

Steady current velocity at referency height (10 years) V (zr) = 0.8 m/sec

Steady current velocity at referency height (100 years) V (zr) = 0.91 m/sec

referency height above sea bed zr = 1 m

elevation above sea bed z = 1 m

Angle between current direction and pipe Θ = 90 ⁰ 1.571 radiansUn drained Clay shear strength Su = mm

Dry Unit soil weight = mm

SOLUTION

Outer diameter = D = 395.1 mmInternal (fluid) area = Ai = 29437.47715 sq.mmSteel area = Ast = 8231.004168 sq.mmConcrete = Ac = 81056.23991 sq.mmCorrosion Coating area = Acc = 3879.081529 sq.mmExternal area = Ae = 122603.8028 sq.mm 125.668897821801Actual Submerged Weight = Ws = 2167.2601 18.2457953999641

100 year current + Wave 10 years 10 year current + Wave 100 years

Tp / Sqrt (Hs)= 4.992 Tp / Sqrt (Hs)= 5.111

γ = 1.009 γ = 1

= 1.151 sec = 1.151 sec

= 0.106605554 = 0.098405127

γs

ϕ = ϕ =

Tn Tn

Tn /TP Tn /TP

DNV-RP-F109 On Bottom Stability Analysis

From Fig 3-2 = 0.36 From Fig 3-2 = 0.41 Verify

= 1.463 m/sec = 1.866 m/sec

From Fig 3-3 = 0.85 From Fig 3-3 = 0.84 Verify

= 9.18 sec = 9.828 secSpectral Acceleration Factor

N = 0.0163 N = 0.0194Assessment Applicable Assessment Applicable

Keulegan-Carpenter NumberK = 34.00011742 K = 34.00011742

Significant Weight ParameterL = 4.998280278 L = 3.073880825

Specific Weight og PIPE

= 2.7585 = 2.2877

Assessment Applicable Not Applicable

C1 C1

Us Us

C2 C2

Tu Tu

sg sg

DNV-RP-F109 On Bottom Stability Analysis

INPUTS= Input= Results

Pipeline Tag = WHP-E to Eb-37Component = Subsea PipelineComponent Type = OthersDesign Code = ASME B31.4Material = API 5L X52Design Pressure P = 22010 KPa

Design Temperature T = 82 C

Future corrosion Allowance FCA = 0 mm

LOSS = 0 mm

Weld Joint Efficiency E = 1Type Of sea Bed (Clay/Sand) SandSeabed Roughness Silt and ClayDensity Internal Content Pi = 1025 (Kg/m3)

Density of steel Pst = 7850 (Kg/m3)

Density of concrete coating Pc = 3043.5 (Kg/m3)

Density of corrosin coating Pcc = 1335 (Kg/m3)

Density of water Pw = 1025 (Kg/m3)

Steel pipe outer diameter Dst = 168.3 mm

Steel wall thickness Tst = 11 mm

Concrete Coating thickness Tc = 82.55 mm

Corrosion Coating thickness Tcc = 5.5 mm

Peak Period (Design Spectrum)-10 years Tp = 10.6 sec

Peak Period (Design Spectrum)-100 years Tp = 11.5 sec

Significant Wave Height (10 years) Hs = 4.21 m

Significant Wave Height (100 years) Hs = 4.65 m

water depth d = 14 m

Steady current velocity at referency height (10 years) V (zr) = 0.85 m/sec

Steady current velocity at referency height (100 years) V (zr) = 0.97 m/sec

referency height above sea bed zr = 1 m

elevation above sea bed z = 1 m

Angle between current direction and pipe Θ = 90 ⁰ 1.571 radiansUn drained Clay shear strength Su = mm

Dry Unit soil weight = mm

SOLUTION

Outer diameter = D = 344.4 mmInternal (fluid) area = Ai = 16810.41882 sq.mmSteel area = Ast = 5435.897769 sq.mmConcrete = Ac = 67907.7793 sq.mmCorrosion Coating area = Acc = 3003.048418 sq.mmExternal area = Ae = 93157.1443 sq.mm 95.4860729096254Actual Submerged Weight = Ws = 1717.233158 18.9841217182691

100 year current + Wave 10 years 10 year current + Wave 100 years

Tp / Sqrt (Hs)= 5.166 Tp / Sqrt (Hs)= 5.333

γ = 1 γ = 1

= 1.195 sec = 1.195 sec

= 0.112717167 = 0.103895824

γs

ϕ = ϕ =

Tn Tn

Tn /TP Tn /TP

DNV-RP-F109 On Bottom Stability Analysis

From Fig 3-2 = 0.375 From Fig 3-2 = 0.375 Verify

= 1.321 m/sec = 1.459 m/sec

From Fig 3-3 = 0.85 From Fig 3-3 = 0.86 Verify

= 9.01 sec = 9.89 secSpectral Acceleration Factor

N = 0.0150 N = 0.0150Assessment Applicable Assessment Applicable

Keulegan-Carpenter NumberK = 34.56838431 K = 34.56838431

Significant Weight ParameterL = 5.572337164 L = 4.567680015

Specific Weight og PIPE

= 2.8338 = 2.5121

Assessment Applicable Assessment Applicable

C1 C1

Us Us

C2 C2

Tu Tu

sg sg

DNV-RP-F109 On Bottom Stability Analysis

INPUTS= Input= Results

Pipeline Tag = WIP to WHP-EComponent = Subsea PipelineComponent Type = OthersDesign Code = ASME B31.4Material = API 5L X52Design Pressure P = 22010 KPa

Design Temperature T = 82 C

Future corrosion Allowance FCA = 0 mm

LOSS = 0 mm

Weld Joint Efficiency E = 1Type Of sea Bed (Clay/Sand) SandSeabed Roughness Silt and ClayDensity Internal Content Pi = 1025 (Kg/m3)

Density of steel Pst = 7850 (Kg/m3)

Density of concrete coating Pc = 3043.5 (Kg/m3)

Density of corrosin coating Pcc = 1335 (Kg/m3)

Density of water Pw = 1025 (Kg/m3)

Steel pipe outer diameter Dst = 168.3 mm

Steel wall thickness Tst = 11 mm

Concrete Coating thickness Tc = 82.55 mm

Corrosion Coating thickness Tcc = 5.5 mm

Peak Period (Design Spectrum)-10 years Tp = 10.6 sec

Peak Period (Design Spectrum)-100 years Tp = 11.5 sec

Significant Wave Height (10 years) Hs = 4.21 m

Significant Wave Height (100 years) Hs = 4.65 m

water depth d = 17 m

Steady current velocity at referency height (10 years) V (zr) = 0.82 m/sec

Steady current velocity at referency height (100 years) V (zr) = 0.94 m/sec

referency height above sea bed zr = 1 m

elevation above sea bed z = 1 m

Angle between current direction and pipe Θ = 90 ⁰ 1.571 radiansUn drained Clay shear strength Su = mm

Dry Unit soil weight = mm

SOLUTION

Outer diameter = D = 344.4 mmInternal (fluid) area = Ai = 16810.41882 sq.mmSteel area = Ast = 5435.897769 sq.mmConcrete = Ac = 67907.7793 sq.mmCorrosion Coating area = Acc = 3003.048418 sq.mmExternal area = Ae = 93157.1443 sq.mm 95.4860729096254Actual Submerged Weight = Ws = 1717.233158 18.9841217182691

100 year current + Wave 10 years 10 year current + Wave 100 years

Tp / Sqrt (Hs)= 5.166 Tp / Sqrt (Hs)= 5.333

γ = 1 γ = 1

= 1.317 sec = 1.317 sec

= 0.124208269 = 0.114487621

γs

ϕ = ϕ =

Tn Tn

Tn /TP Tn /TP

DNV-RP-F109 On Bottom Stability Analysis

From Fig 3-2 = 0.36 From Fig 3-2 = 0.41 Verify

= 1.151 m/sec = 1.448 m/sec

From Fig 3-3 = 0.85 From Fig 3-3 = 0.84 Verify

= 9.01 sec = 9.66 secSpectral Acceleration Factor

N = 0.0130 N = 0.0153Assessment Applicable Assessment Applicable

Keulegan-Carpenter NumberK = 30.1154857 K = 30.1154857

Significant Weight ParameterL = 7.342024103 L = 4.639929479

Specific Weight og PIPE

= 2.8338 = 2.3593

Assessment Applicable Assessment Applicable

C1 C1

Us Us

C2 C2

Tu Tu

sg sg

DNV-RP-F109 On Bottom Stability Analysis

INPUTS= Input= Results

Pipeline Tag = WHP-E to Eb-37Component = Subsea PipelineComponent Type = OthersDesign Code = ASME B31.4Material = API 5L X52Design Pressure P = 22010 KPa

Design Temperature T = 82 C

Future corrosion Allowance FCA = 0 mm

LOSS = 0 mm

Weld Joint Efficiency E = 1Type Of sea Bed (Clay/Sand) SandSeabed Roughness Silt and ClayDensity Internal Content Pi = 1025 (Kg/m3)

Density of steel Pst = 7850 (Kg/m3)

Density of concrete coating Pc = 3043.5 (Kg/m3)

Density of corrosin coating Pcc = 1335 (Kg/m3)

Density of water Pw = 1025 (Kg/m3)

Steel pipe outer diameter Dst = 168.3 mm

Steel wall thickness Tst = 11 mm

Concrete Coating thickness Tc = 82.55 mm

Corrosion Coating thickness Tcc = 5.5 mm

Peak Period (Design Spectrum)-10 years Tp = 10.6 sec

Peak Period (Design Spectrum)-100 years Tp = 11.5 sec

Significant Wave Height (10 years) Hs = 4.21 m

Significant Wave Height (100 years) Hs = 4.65 m

water depth d = 14 m

Steady current velocity at referency height (10 years) V (zr) = 0.85 m/sec

Steady current velocity at referency height (100 years) V (zr) = 0.97 m/sec

referency height above sea bed zr = 18.4 m

elevation above sea bed z = 1 m

Angle between current direction and pipe Θ = 90 ⁰ 1.571 radiansUn drained Clay shear strength Su = mm

Dry Unit soil weight = mm

SOLUTION

Outer diameter = D = 344.4 mmInternal (fluid) area = Ai = 16810.41882 sq.mmSteel area = Ast = 5435.897769 sq.mmConcrete = Ac = 67907.7793 sq.mmCorrosion Coating area = Acc = 3003.048418 sq.mmExternal area = Ae = 93157.1443 sq.mm 95.4860729096254Actual Submerged Weight = Ws = 1717.233158 18.9841217182691

100 year current + Wave 10 years 10 year current + Wave 100 years

Tp / Sqrt (Hs)= 5.166 Tp / Sqrt (Hs)= 5.333

γ = 1 γ = 1

= 1.195 sec = 1.195 sec

= 0.112717167 = 0.103895824

γs

ϕ = ϕ =

Tn Tn

Tn /TP Tn /TP

DNV-RP-F109 On Bottom Stability Analysis

From Fig 3-2 = 0.36 From Fig 3-2 = 0.41 Verify

= 1.268 m/sec = 1.596 m/sec

From Fig 3-3 = 0.85 From Fig 3-3 = 0.84 Verify

= 9.01 sec = 9.66 secSpectral Acceleration Factor

N = 0.0144 N = 0.0168Assessment Applicable Assessment Applicable

Keulegan-Carpenter NumberK = 33.18564894 K = 33.18564894

Significant Weight ParameterL = 6.046372791 L = 3.821118395

Specific Weight og PIPE

= 2.8338 = 2.3593

Assessment Applicable Assessment Applicable

C1 C1

Us Us

C2 C2

Tu Tu

sg sg

DNV-RP-F109 On Bottom Stability Analysis

INPUTS= Input= Results

Pipeline Tag = WHP-E to Eb-37Component = Subsea PipelineComponent Type = OthersDesign Code = ASME B31.4Material = API 5L X52Design Pressure P = 22010 KPa

Design Temperature T = 82 C

Future corrosion Allowance FCA = 0 mm

LOSS = 0 mm

Weld Joint Efficiency E = 1Type Of sea Bed (Clay/Sand) SandSeabed Roughness Silt and ClayDensity Internal Content Pi = 1025 (Kg/m3)

Density of steel Pst = 7850 (Kg/m3)

Density of concrete coating Pc = 3043.5 (Kg/m3)

Density of corrosin coating Pcc = 1335 (Kg/m3)

Density of water Pw = 1025 (Kg/m3)

Steel pipe outer diameter Dst = 168.3 mm

Steel wall thickness Tst = 11 mm

Concrete Coating thickness Tc = 82.55 mm

Corrosion Coating thickness Tcc = 5.5 mm

Peak Period (Design Spectrum)-10 years Tp = 10.6 sec

Peak Period (Design Spectrum)-100 years Tp = 11.5 sec

Significant Wave Height (10 years) Hs = 4.21 m

Significant Wave Height (100 years) Hs = 4.65 m

water depth d = 14 m

Steady current velocity at referency height (10 years) V (zr) = 0.85 m/sec

Steady current velocity at referency height (100 years) V (zr) = 0.97 m/sec

referency height above sea bed zr = 18.4 m

elevation above sea bed z = 1 m

Angle between current direction and pipe Θ = 90 ⁰ 1.571 radiansUn drained Clay shear strength Su = mm

Dry Unit soil weight = mm

SOLUTION

Outer diameter = D = 344.4 mmInternal (fluid) area = Ai = 16810.41882 sq.mmSteel area = Ast = 5435.897769 sq.mmConcrete = Ac = 67907.7793 sq.mmCorrosion Coating area = Acc = 3003.048418 sq.mmExternal area = Ae = 93157.1443 sq.mm 95.4860729096254Actual Submerged Weight = Ws = 1717.233158 18.9841217182691

100 year current + Wave 10 years 10 year current + Wave 100 years

Tp / Sqrt (Hs)= 5.166 Tp / Sqrt (Hs)= 5.333

γ = 1 γ = 1

= 1.195 sec = 1.195 sec

= 0.112717167 = 0.103895824

γs

ϕ = ϕ =

Tn Tn

Tn /TP Tn /TP

DNV-RP-F109 On Bottom Stability Analysis

From Fig 3-2 = 0.36 From Fig 3-2 = 0.41 Verify

= 1.268 m/sec = 1.596 m/sec

From Fig 3-3 = 0.85 From Fig 3-3 = 0.84 Verify

= 9.01 sec = 9.66 secSpectral Acceleration Factor

N = 0.0144 N = 0.0168Assessment Applicable Assessment Applicable

Keulegan-Carpenter NumberK = 33.18564894 K = 33.18564894

Significant Weight ParameterL = 6.046372791 L = 3.821118395

Specific Weight og PIPE

= 2.8338 = 2.3593

Assessment Applicable Assessment Applicable

C1 C1

Us Us

C2 C2

Tu Tu

sg sg

DNV-RP-F109 On Bottom Stability Analysis

INPUTS= Input= Results

Pipeline Tag = WHP-E to Eb-37Component = Subsea PipelineComponent Type = OthersDesign Code = ASME B31.4Material = API 5L X52Design Pressure P = 22010 KPa

Design Temperature T = 82 C

Future corrosion Allowance FCA = 0 mm

LOSS = 0 mm

Weld Joint Efficiency E = 1Type Of sea Bed (Clay/Sand) SandSeabed Roughness Silt and ClayDensity Internal Content Pi = 1025 (Kg/m3)

Density of steel Pst = 7850 (Kg/m3)

Density of concrete coating Pc = 3043.5 (Kg/m3)

Density of corrosin coating Pcc = 1335 (Kg/m3)

Density of water Pw = 1025 (Kg/m3)

Steel pipe outer diameter Dst = 168.3 mm

Steel wall thickness Tst = 11 mm

Concrete Coating thickness Tc = 82.55 mm

Corrosion Coating thickness Tcc = 5.5 mm

Peak Period (Design Spectrum)-10 years Tp = 10.6 sec

Peak Period (Design Spectrum)-100 years Tp = 11.5 sec

Significant Wave Height (10 years) Hs = 4.21 m

Significant Wave Height (100 years) Hs = 4.65 m

water depth d = 14 m

Steady current velocity at referency height (10 years) V (zr) = 0.85 m/sec

Steady current velocity at referency height (100 years) V (zr) = 0.97 m/sec

referency height above sea bed zr = 18.4 m

elevation above sea bed z = 1 m

Angle between current direction and pipe Θ = 90 ⁰ 1.571 radiansUn drained Clay shear strength Su = mm

Dry Unit soil weight = mm

SOLUTION

Outer diameter = D = 344.4 mmInternal (fluid) area = Ai = 16810.41882 sq.mmSteel area = Ast = 5435.897769 sq.mmConcrete = Ac = 67907.7793 sq.mmCorrosion Coating area = Acc = 3003.048418 sq.mmExternal area = Ae = 93157.1443 sq.mm 95.4860729096254Actual Submerged Weight = Ws = 1717.233158 18.9841217182691

100 year current + Wave 10 years 10 year current + Wave 100 years

Tp / Sqrt (Hs)= 5.166 Tp / Sqrt (Hs)= 5.333

γ = 1 γ = 1

= 1.195 sec = 1.195 sec

= 0.112717167 = 0.103895824

γs

ϕ = ϕ =

Tn Tn

Tn /TP Tn /TP

DNV-RP-F109 On Bottom Stability Analysis

From Fig 3-2 = 0.36 From Fig 3-2 = 0.41 Verify

= 1.268 m/sec = 1.596 m/sec

From Fig 3-3 = 0.85 From Fig 3-3 = 0.84 Verify

= 9.01 sec = 9.66 secSpectral Acceleration Factor

N = 0.0144 N = 0.0168Assessment Applicable Assessment Applicable

Keulegan-Carpenter NumberK = 33.18564894 K = 33.18564894

Significant Weight ParameterL = 6.046372791 L = 3.821118395

Specific Weight og PIPE

= 2.8338 = 2.3593

Assessment Applicable Assessment Applicable

C1 C1

Us Us

C2 C2

Tu Tu

sg sg

λ Component_Type Seabed_roughness0.0 1.001 Sand Cylindrical Shell Silt and Cla 5.00E-060.5 1.056 Clay Torispherical Head Fine Sand 1.00E-051.0 1.199 Elliptical Head Medium Sa 4.00E-051.5 1.394 Others Coarse San 1.00E-042.0 1.618 Gravel 3.00E-042.5 1.857 Pebble 2.00E-033.0 2.103 Cobble 1.00E-023.5 2.351 Boulder 4.00E-024.0 2.600

4.5 2.847

5.0 3.091

5.5 3.331

6.0 3.568

6.5 3.801

7.0 4.032

7.5 4.262

8.0 4.492

8.5 4.727

9.0 4.970

9.5 5.225

10.0 5.497

10.5 5.791

11.0 6.112

11.5 6.468

12.0 6.864

12.5 7.307

13.0 7.804

13.5 8.362

14.0 8.989

14.5 9.693

15.0 10.481

15.5 11.361

16.0 12.340

16.5 13.423

17.0 14.616

17.5 15.921

18.0 17.338

18.5 18.864

19.0 20.494

19.5 22.219

20.0 24.027

Mt

Significant Flow Velocity amplitude Us @ Sea bed Level - Figure 3-2ϒ= 1.0 ϒ= 3.3 ϒ= 5.0

X Y X Y X Y0.003231 0.497018 0.003236 0.499996 0.002435 0.4989820.003506 0.496916 0.003374 0.499962 0.002545 0.498982

0.00425 0.496711 0.003787 0.499893 0.002848 0.4989480.005269 0.496371 0.00442 0.499824 0.003317 0.4988790.006481 0.495996 0.005247 0.499687 0.00395 0.498810.007665 0.495656 0.007285 0.499345 0.005493 0.4986720.008684 0.495315 0.009599 0.499002 0.007284 0.4984990.009427 0.495111 0.011885 0.498625 0.009074 0.4982920.009703 0.495009 0.012904 0.498454 0.010617 0.4981540.009785 0.495008 0.013786 0.498283 0.011251 0.4980850.010006 0.494974 0.014529 0.498146 0.011719 0.4980160.010832 0.494837 0.015053 0.498077 0.012022 0.4979820.012017 0.4947 0.015356 0.498009 0.012132 0.4979820.013339 0.494528 0.015356 0.497975 0.012242 0.4979480.014661 0.494322 0.015328 0.497942 0.012545 0.4978120.015846 0.494184 0.015548 0.49784 0.013013 0.4976080.016672 0.494047 0.015961 0.497703 0.013646 0.497370.016892 0.494013 0.01654 0.497499 0.015188 0.4967240.016975 0.494013 0.018082 0.497022 0.016978 0.4960090.017223 0.493877 0.019899 0.496477 0.018768 0.4952610.017856 0.493537 0.021772 0.495932 0.02031 0.4946150.018764 0.493062 0.023425 0.495455 0.020943 0.494377

0.01981 0.492518 0.024085 0.495251 0.021411 0.4941730.020829 0.491975 0.024609 0.495114 0.021714 0.4940370.021737 0.491499 0.024939 0.495012 0.021824 0.4940030.022371 0.49116 0.025049 0.494978 0.021934 0.4939690.022618 0.491024 0.025132 0.494944 0.022237 0.4938670.022784 0.491024 0.025407 0.494808 0.022705 0.493731

0 0.1 0.2 0.3 0.4 0.5 0.6-0.1

0

0.1

0.2

0.3

0.4

0.5

0.6

ϒ= 1.0ϒ= 3.3ϒ= 5.0

Mean zero up-crossing period of oscillating flow Figure 3-3ϒ= 1.0 ϒ= 3.3 ϒ= 5.0 ϒ= 3.3 ϒ= 1.0

X Y X Y X Y X Y X Y0.034961 0.745957 0.035923 0.809098 0.039579 0.839363 0.039579 0.809098 0.039579 0.745957

0.03517 0.746262 0.036062 0.809301 0.039683 0.839515 0.039683 0.809301 0.039683 0.7462620.035692 0.747126 1.407512 0.03648 0.809911 0.040031 0.839972 0.040031 0.809911 0.040031 0.7471260.036527 0.748497 Err:502 0.037071 0.810774 0.041248 0.841597 0.041248 0.810774 0.041248 0.748497

0.03764 0.750275 Err:502 0.037906 0.811993 0.042987 0.843933 0.042987 0.811993 0.042987 0.7502750.038928 0.752358 Err:502 0.039924 0.814939 0.04497 0.846574 0.04497 0.814939 0.04497 0.7523580.040354 0.754695 Err:502 0.04222 0.818291 0.046952 0.849214 0.046952 0.818291 0.046952 0.7546950.043486 0.759774 Err:502 0.044516 0.821643 0.048691 0.85155 0.048691 0.821643 0.048691 0.7597740.046653 0.764803 Err:502 0.046534 0.824589 0.049909 0.853175 0.049909 0.824589 0.049909 0.7648030.048079 0.76714 0.047369 0.825808 0.050257 0.853632 0.050257 0.825808 0.050257 0.767140.049367 0.769223 0.04796 0.826671 0.050361 0.853785 0.050361 0.826671 0.050361 0.769223

0.05048 0.771001 0.048377 0.827281 0.0505 0.853988 0.0505 0.827281 0.0505 0.7710010.051315 0.772372 0.048517 0.827484 0.050918 0.854496 0.050918 0.827484 0.050918 0.7723720.051837 0.773236 0.048656 0.827687 0.051509 0.855359 0.051509 0.827687 0.051509 0.7732360.052046 0.773541 0.049004 0.828195 0.052344 0.856425 0.052344 0.828195 0.052344 0.773541

0.05222 0.773846 0.05036 0.830125 0.054361 0.859168 0.054361 0.830125 0.054361 0.7738460.052707 0.774709 0.052239 0.832868 0.056657 0.862316 0.056657 0.832868 0.056657 0.7747090.053473 0.776081 0.054361 0.836017 0.058952 0.865465 0.058952 0.836017 0.058952 0.7760810.054448 0.777859 0.056518 0.839166 0.06097 0.868156 0.06097 0.839166 0.06097 0.7778590.055596 0.779942 0.058396 0.841857 0.061805 0.869273 0.061805 0.841857 0.061805 0.7799420.056884 0.78228 0.059753 0.843838 0.062396 0.870137 0.062396 0.843838 0.062396 0.782280.059703 0.78736 0.060101 0.844346 0.062813 0.870645 0.062813 0.844346 0.062813 0.787360.062523 0.79239 0.06024 0.844549 0.062952 0.870848 0.062952 0.844549 0.062952 0.792390.063811 0.794727 0.060345 0.844753 0.063057 0.871 0.063057 0.844753 0.063057 0.7947270.064959 0.79681 0.060658 0.845362 0.06337 0.871355 0.06337 0.845362 0.06337 0.796810.065934 0.798589 0.061145 0.846226 0.064517 0.872675 0.064517 0.846226 0.064517 0.7985890.066699 0.79996 0.061772 0.847445 0.066082 0.874605 0.066082 0.847445 0.066082 0.799960.067187 0.800824 0.063373 0.850392 0.067891 0.876788 0.067891 0.850392 0.067891 0.8008240.067361 0.801129 0.065183 0.853746 0.069733 0.87892 0.069733 0.853746 0.069733 0.801129

0.0675 0.801332 0.066993 0.857099 0.071298 0.880849 0.071298 0.857099 0.071298 0.8013320.067952 0.801941 0.068594 0.860046 0.072446 0.882169 0.072446 0.860046 0.072446 0.801941

0 0.1 0.2 0.3 0.4 0.5 0.60.8

0.9

1

1.1

1.2

1.3

1.4

1.5

f(x) = − 25.60733103 x⁶ + 49.176420502 x⁵ − 24.44924645 x⁴ − 0.3004907677 x³ + 1.4510017763 x² + 1.5678893609 x + 0.6883602441

ϒ= 1.0Polynomial (ϒ= 1.0)ϒ= 3.3ϒ= 5.0