Use the given contour plot to estimate the linear approximation of at .

Question

Use the given contour plot to estimate the linear approximation of  at  .

Quizplus · Accepted Answer

To estimate the linear approximation, we need to find the closest contour lines to the given point (11eaa948_cd99_0b6b_84bc_e51746aa85eb_TB2342_00). The closest contour lines are the ones labeled 11eaa948_cd99_0b6a_84bc_9d2ce01e8501_TB2342_00 and 11eaa948_cd99_0b6c_84bc_f523979fdbce_TB2342_00. These two contour lines are parallel to each other and have a difference of 0.5 in their z-values. Since the given point is closer to the lower contour line, we can estimate the linear approximation by subtracting the product of the slope (0.5) and the distance from the lower contour line to the given point (0.4) from the z-value of the lower contour line (11). Therefore, our estimate is 11 - (0.5 * 0.4) = 10.8, which falls closest to the contour line labeled 11eaa948_cd99_0b6e_84bc_37c8f1b48742_TB2342_11.

Use the Given Contour Plot to Estimate the Linear Approximation