# ID: AName:6.The table below gives velocity data for a rocket shortly after liftoff.Time (sVelocity (m/s)00106315862011030203358555467096390Determine which of the following cubic polynomials best models the velocity of the rocket for the time intervalte [0, 90]-v(t) = 0.001101t - 0.06979 t 8.158t - 10.1923a.2+ 8.171t - 6.6093- 0.1143 tb.v(t)=0.001589t2v(t) 0.000205t 0.09749 t 2.704t + 16.31с.2+3d. v(t)=0.001028t - 0.07601t 7.954t - 7.36426.585t - 5.8953v(t)= 0.000331t 0.005495 tIo Iе.7. A cubic function is a polynomial of degree 3; that is, it has the form23+ bx + CX + df(x)ax1+ 2bx tC3ах2

Question
77 views help_outlineImage TranscriptioncloseID: A Name: 6. The table below gives velocity data for a rocket shortly after liftoff. Time (s Velocity (m/s) 0 0 10 63 15 86 20 110 30 203 358 55 546 70 963 90 Determine which of the following cubic polynomials best models the velocity of the rocket for the time interval te [0, 90]- v(t) = 0.001101t - 0.06979 t 8.158t - 10.19 2 3 a. 2 + 8.171t - 6.609 3 - 0.1143 t b. v(t)=0.001589t 2 v(t) 0.000205t 0.09749 t 2.704t + 16.31 с. 2 + 3 d. v(t)=0.001028t - 0.07601t 7.954t - 7.364 2 6.585t - 5.895 3 v(t)= 0.000331t 0.005495 t Io I е. 7. A cubic function is a polynomial of degree 3; that is, it has the form 2 3 + bx + CX + d f(x) ax 1 + 2bx tC 3ах2 fullscreen
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Step 1

Given table contains the velocity data for a rocket after lift-off. help_outlineImage Transcriptionclosevt) 0 0 10 63 15 86 110 20 30 203 55 358 70 546 90 963 To determine: the cubic polynomial that best models the velocity of the rocket for the time interval t between 0 to 90 fullscreen
Step 2

Use online graphing calculator and substitute the values given in the table to obtain the best cubic polynomial for the velocity in the given time interval. help_outlineImage TranscriptioncloseThe best cubic polynomial for the velocity in the time interval is v(t) 0.0016x3 - 0.1143x2 8.1706x + 6.6089 fullscreen
Step 3

You may also use the Excel to get the equation b... help_outlineImage TranscriptioncloseFormat Trendline Trendline Options Trendline Options Exponential Linear Logarithmic Polynomial Order 2 Power Moving Average Period 2 Trendline Name Linear (Sales) OAutomatic Custom Forecast Forward period Backward 0.0 period Set Intercept 0.0 Display Equation on chart 4 fullscreen

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