Question 1

What is the linear approximation formula?

Accepted Answer

L(x) = f (a) + f ' (a)(x-a)

Answer

L(x) = f ' (a) + f ' (a)(x+a)

Answer

L(x) = f ' (a) + f (a)(x-a)

Answer

L(x) = f (a) + f (a)(x-a)

Question 2

When is it best to use linear approximation?

Accepted Answer

When the value you are trying to approximate is close to a known or "simple" value to evaluate.

Answer

When the value you are trying to approximate is not close to a known or "simple" value to evaluate.

Answer

When the value you are trying to approximate is the same as a known or "simple" value to evaluate.

Question 3

Consider the following: $9.08^2$
What is the function and "a" value you should use for linear approximation?

Accepted Answer

Function: $x^2$
a value: 9

Answer

Function: $x^2$
a value: 0.08

Answer

Function: $x$
a value: 9

Answer

Function: $x^2$
a value: 9.08

Question 4

Consider the above.
What is the function and "a" value you should use for linear approximation?

Accepted Answer

Function: Fifth Root
"a" value: 32

Answer

Function: Fifth Root
"a" value: 32.3

Answer

Function: Square Root
"a" value: 32

Answer

Function: Fifth Root
"a" value: 0.3

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