4. Consider the graph of function f(x): a) at x = 2, f(x) A) is not continuous and not differentiable B) is continuous but not differentiable C) is continuous and differentiable D) is not continuous but differentiable E) has a tangent that hits the curve more than once b) at x = 4, f(x) A) is defined and the limit exists B) is not defined but the limit exists C) is continuous but the limit does not exist D) is continuous and the limit does exist E) has more than one tangent c) at x = 3, f(x) A) is not continuous, not differentiable, but the limit exists. B) is not continuous but differentiable C) is continuous but non-differentiable D) does not have a tangent line E) has a tangent with a positive slope 3 4 5 6 8
4. Consider the graph of function f(x): a) at x = 2, f(x) A) is not continuous and not differentiable B) is continuous but not differentiable C) is continuous and differentiable D) is not continuous but differentiable E) has a tangent that hits the curve more than once b) at x = 4, f(x) A) is defined and the limit exists B) is not defined but the limit exists C) is continuous but the limit does not exist D) is continuous and the limit does exist E) has more than one tangent c) at x = 3, f(x) A) is not continuous, not differentiable, but the limit exists. B) is not continuous but differentiable C) is continuous but non-differentiable D) does not have a tangent line E) has a tangent with a positive slope 3 4 5 6 8
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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