Provide an appropriate response.Does the graph of f(x) =   have a vertical tangent at the point (0, 5)? Give reasons for your answer.

What will be an ideal response?


The function is not differentiable at x = 0 because it is discontinuous at x = 0. The graph does not have a vertical tangent at (0, 5) since f remains bounded as x approaches zero from either side.

Mathematics

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Multiply using Napier's rods.6 × 1437

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Find the product using one of the formulas for the square of a binomial.(x2 - 2)2

A. x4 - 2x + 4 B. x4 - 2x2 + 4 C. x4 + 4 D. x4 - 4x2 + 4

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Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.

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Mathematics

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. 167.5 × 0.40

A. 67.111 B. 67.11 C. 67.000 D. 67.1

Mathematics