(a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition on n such that f(x) is continuous at the point x = 0; f(x) is differentiable at the point x = 0; and f'(x) is continuous at the point x = 0. (b) Find the slope of the tangent to the curve sin(xy) = = x

(a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition on n such that f(x) is continuous at the point x = 0; f(x) is differentiable at the point x = 0; and f'(x) is continuous at the point x = 0. (b) Find the slope of the tangent to the curve sin(xy) = = x

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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