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True/False - no justification required The geometric meaning of the linear appro

ID: 2854113 • Letter: T

Question

True/False - no justification required

The geometric meaning of the linear approximation f(x) =f(a) +f'(a)(x-a) for the function f(x) with respect to x = a is this: The graph of y =f (a) + f' (a)(x-a) is the tangent line of the graph of y =f(x) at x = a. In (x +y) = In(x)In(y) for x is greater than 0 and y i greater than 0. Euler's number e is the real number such that the area under the graph of y = 1/x between x =1 and x = e is 1. A bacterium that divided into two (thus doubling in number) every second was pugt in a jar was completely filled with the acteria. If we pt two such bacteria in the same empty jar, then it will take 30 seconds to fill up the jar.

Explanation / Answer

a) True

b) False

c) True

d) False

e) False

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