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Suppose that f(x, y) = x³y + 4x².If fx(x, y) = 3x²y + 8x, then what is the largest value of h so that the difference quotient approximating f, is accurate within 0.01 at the point (1, 1)? Round your answer to four decimal places. i Hint Express the difference quotient with h as a variable, and then look at what values of h satisfy the resulting inequality (absolute

Suppose that f(x, y) = x³y + 4x².If fx(x, y) = 3x²y + 8x, then what is the largest value of h so that the difference quotient approximating f, is accurate within 0.01 at the point (1, 1)? Round your answer to four decimal places. i Hint Express the difference quotient with h as a variable, and then look at what values of h satisfy the resulting inequality (absolute

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose that f(x, y) = x³y + 4x². If fx(x, y) = 3x²y + 8x, then what is the largest value of h so that the difference quotient approximating f, is accurate within 0.01 at the point (1, 1)? Round your answer to four decimal places. i|| Hint Express the difference quotient with h as a variable, and then look at what values of h satisfy the resulting inequality (absolute error) <0.01. Save for Later Submit Answer
Transcribed Image Text:Suppose that f(x, y) = x³y + 4x². If fx(x, y) = 3x²y + 8x, then what is the largest value of h so that the difference quotient approximating f, is accurate within 0.01 at the point (1, 1)? Round your answer to four decimal places. i|| Hint Express the difference quotient with h as a variable, and then look at what values of h satisfy the resulting inequality (absolute error) <0.01. Save for Later Submit Answer
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