Write the Linear Approximation to f(x, y) = x(1 + y) at (a, b) = (8,...

  

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Write the Linear Approximation to f(x, y) = x(1 + y) at (a, b) = (8, 1) in the form f(a + h, b + k) f(a, b) + fx(a, b)h + fy(a, b)k (Give an exact answer. Use decimal notation and fractions where needed.) f(8+h, 1+ k) Use it to estimate 7.98 2.05 (Use decimal notation. Give your answer to three decimal places.) 7.98 2.05 22 Compare this approximation with the value obtained using the calculator. Calculate the percentage error obtained by using the approximation. Percentage error is the absolute value of the ratio of the error to the actual value of the expression, multiplied by 100%. (Use decimal notation. Give your answer to three decimal places.) the percentage error: % Write the Linear Approximation to f(x, y) = x(1 + y) at (a, b) = (8, 1) in the form f(a + h, b + k) f(a, b) + fx(a, b)h + fy(a, b)k (Give an exact answer. Use decimal notation and fractions where needed.) f(8+h, 1+ k) Use it to estimate 7.98 2.05 (Use decimal notation. Give your answer to three decimal places.) 7.98 2.05 22 Compare this approximation with the value obtained using the calculator. Calculate the percentage error obtained by using the approximation. Percentage error is the absolute value of the ratio of the error to the actual value of the expression, multiplied by 100%. (Use decimal notation. Give your answer to three decimal places.) the percentage error: %

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