Mathematics

Mathematics

Problem

Let hh be twice differentiable with h′′(x)>0h''(x)>0 for x<5x<5 and h′′(x)<0h''(x)<0 for x>5x>5. The tangent line at x=5x=5 is used to approximate h(4.8)h(4.8) and h(5.4)h(5.4). Which option correctly gives the sign of the error (approximation minus actual value) at each point? a) Positive at x=4.8x=4.8 and positive at x=5.4x=5.4 b) Positive at x=4.8x=4.8 and negative at x=5.4x=5.4 c) Negative at x=4.8x=4.8 and positive at x=5.4x=5.4 d) Negative at x=4.8x=4.8 and negative at x=5.4x=5.4

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