# 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 .

• A
• B
• C
• D
• E

Q5:

Find the linear approximation of the function at .

• A
• B
• C
• D
• E

Q6:

Find the linear approximation of the function at .

• A
• B
• C
• D
• E

Q7:

Find the linear approximation of the function at .

• A
• 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 .

• A
• B
• C
• D
• E

Q11:

Find the linear approximation of the function at .

• A
• B
• C
• D
• E

Q12:

Find the linear approximation of the function at .

• A
• 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 .

• A
• B
• C
• D
• E