Question 1．Find the extrema and inflection points of the following function, and draw its graph.

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Question 2. Find the Maclaurin series expansion of the following function.

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Question 2. Find the Taylor expansion of the following function at x=a.

• f(x)=sin(x)
• f(x)=cos(x)
• f(x)=
• f(x)=
• f(x)=

Question 4. Find the equation of the envelope of the family of curves represented by the following function, and draw its graph.

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