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

The contour lines are evenly spaced, indicating that the function is linear. The value at the point (8, 10) is about 12, and at the point (9, 10) it is about 16. Therefore, as we move one unit to the right (from 8 to 9), the value of the function increases by about 4. Thus, the linear approximation at (10, 10) is about 20, which corresponds to the contour line labeled "e4c9".

Use the Given Contour Plot to Estimate the Linear Approximation