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3. Consider the function y = (0.2x? + 0.8x;). 8) Find lim y p+0 9) Let p = 2. Compute ay/8x1 ay/dx2 10) Let p
3. Consider the function y = (0.2x? + 0.8x;). 8) Find lim y p+0 9) Let p = 2. Compute ay/8x1 ay/dx2 10) Let p = 2. Write the Taylor series expansion of y near the point x; = 1, x2 = 1. Note that the Taylor series expansion for a two-variable function at the point (x], x2) is given by f (x1, x2) = f(x;,x;) + /(x1-2) dx1 (x1 - x] ) + dx2 (x2 - x2 ). 11) Let p = 2, x1 = 1, and X2 = 1. Approximate the % change in y when x, increases by 2% and X2 increases by 1%
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