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Worksheet: Linear Approximation

Q1:

Find the linear approximation of the function at .

  • A
  • B
  • C
  • D
  • E

Q2:

Find the linear approximation of the function at .

  • A
  • B
  • C
  • D
  • E

Q3:

What is the tangent line approximation of near ?

  • A
  • B
  • C
  • D
  • E

Q4:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q5:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q6:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q7:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q8:

Find the linear approximation of the function at .

Q9:

Find the linear approximation of the function at .

  • A
  • B
  • C
  • D
  • E0

Q10:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q11:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q12:

Find the linear approximation of the function at .

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  • B
  • C
  • D
  • E

Q13:

By finding the linear approximation of the function at a suitable value of , estimate the value of .

  • A15.984
  • B15.992
  • C16.032
  • D15.968
  • E16.016

Q14:

By finding the linear approximation of the function at a suitable value of , estimate the value of .

Q15:

By finding the linear approximation of the function at a suitable value of , estimate the value of .

Q16:

By finding the linear approximation of the function at a suitable value of , estimate the value of .

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  • B
  • C
  • D
  • E