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For the tabulated data below, calculate an approximation for the second derivative f''(t) at t = 0.53 seconds, using a centered difference approximation with a step size h of 0.03 seconds. time (seconds)f(t)0.450.710.500.6930.530.6850.560.6810.590.649Which of the following most closely matches the result of your calculation?

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For the tabulated data below, calculate an approximation for the second derivative f''(t) at t = 0.53 seconds, using a centered difference approximation with a step size h of 0.03 seconds. <br/><br/><table border='1' align='middle''font-family:'lucida grande', tahoma, verdana, arial, sans-serif;font-size:11px;font-style:inherit;font-variant:inherit;border-spacing:0px;border-collapse:collapse;font-weight:inherit;direction:ltr;text-align:left;color:rgb(51, 51, 51);width:225px;height:172px;'><tbody><tr><td width='50%' valign='top' >time (seconds)<br/></td><td width='50%' valign='top' >f(t)<br/></td></tr><tr><td width='50%' valign='top' >0.45<br/></td><td width='50%' valign='top' >0.71<br/></td></tr><tr><td width='50%' valign='top' >0.50<br/></td><td width='50%' valign='top' >0.693<br/></td></tr><tr><td width='50%' valign='top' >0.53<br/></td><td width='50%' valign='top' >0.685<br/></td></tr><tr><td width='50%' valign='top' >0.56<br/></td><td width='50%' valign='top' >0.681<br/></td></tr><tr><td width='50%' valign='top' >0.59<br/></td><td width='50%' valign='top' >0.649<br/></td></tr></tbody></table><br/><br/>Which of the following most closely matches the result of your calculation?





 
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