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Complete the Table for the Function y=1xy = \frac { 1 } { x }

Question 70

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Complete the table for the function y=1xy = \frac { 1 } { x } . Let x = 4. dx=ΔxdyΔyΔydydy/Δy5.000002.500000.50000\begin{array} { l } d x=\Delta x & d y & \Delta y& \Delta y-d y & d y / \Delta y\\5.00000 \\2.50000 \\0.50000\end{array}


A) dx=ΔxdyΔyΔydydy/Δy5.000000.31250.138890.173612.249982.500000.156250.096150.06011.625070.500000.062350.027780.003471.12712\begin{array} { l l l l l } d x = \Delta x & d y & \Delta y & \Delta y - d y & d y / \Delta y \\5.00000 & - 0.3125 & - 0.13889 & 0.17361 & 2.24998 \\2.50000 & - 0.15625 & - 0.09615 & 0.0601 & 1.62507 \\0.50000 & - 0.06235 & - 0.02778 & 0.00347 & 1.12712\end{array}
B) dx=ΔxdyΔyΔydydy/Δy5.000000.31250.138890.173612.249982.500000.156250.213850.06011.629280.500000.031250.027780.003471.12491\begin{array} { l l l l l } d x = \Delta x & d y & \Delta y & \Delta y - d y & d y / \Delta y \\5.00000 & - 0.3125 & - 0.13889 & 0.17361 & 2.24998 \\2.50000 & - 0.15625 & 0.21385 & 0.0601 & 1.62928 \\0.50000 & - 0.03125 & - 0.02778 & 0.00347 & 1.12491\end{array}
C) dx=ΔxdyΔyΔydydy/Δy5.000000.31250.138890.173612.249982.500000.156250.096150.06011.625070.500000.031250.027780.003471.12491\begin{array} { l l l l l } d x = \Delta x & d y & \Delta y & \Delta y - d y & d y / \Delta y \\5.00000 & - 0.3125 & - 0.13889 & 0.17361 & 2.24998 \\2.50000 & - 0.15625 & - 0.09615 & 0.0601 & 1.62507 \\0.50000 & - 0.03125 & - 0.02778 & 0.00347 & 1.12491\end{array}
D) dx=ΔxdyΔyΔydydy/Δy5.000000.26140.138890.173612.249982.500000.156250.096150.06011.625070.500000.062350.027780.003471.12712\begin{array} { l l l l l } d x = \Delta x & d y & \Delta y & \Delta y - d y & d y / \Delta y \\5.00000 & - 0.2614 & - 0.13889 & 0.17361 & 2.24998 \\2.50000 & - 0.15625 & - 0.09615 & 0.0601 & 1.62507 \\0.50000 & - 0.06235 & - 0.02778 & 0.00347 & 1.12712\end{array}
E) dx=ΔxdyΔyΔydydy/Δy5.000000.26140.138890.173612.249982.500000.156250.213850.06011.629280.500000.062350.027780.003471.12712\begin{array} { l l l l l } d x = \Delta x & d y & \Delta y & \Delta y - d y & d y / \Delta y \\5.00000 & - 0.2614 & - 0.13889 & 0.17361 & 2.24998 \\2.50000 & - 0.15625 & 0.21385 & 0.0601 & 1.62928 \\0.50000 & - 0.06235 & - 0.02778 & 0.00347 & 1.12712\end{array}

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