Question

Using differentials, find the approximate value of each of the following up to 3 places of decimal.
$(82)^{\frac{1}{4} }$

Answer 1

Step-by-step explanation:

Consider y =

Consider y =

Let x = 81 and Δx = 1. Then, we get

Δy =

=

⇒

= Δy + 3

Now, dy is approximately equal to Δy and is given by:

dy =

= 0.009

Therefore, the approximate value of

is 3.009.

Let x = 81 and Δx = 1. Then, we get

Δy =

=

⇒

= Δy + 3

Now, dy is approximately equal to Δy and is given by:

dy =

= 0.009

Therefore, the approximate value of

is 3.009.

Answer 2

Answer:

brainliest

Step-by-step explanation:

Consider y =

Let x = 81 and Δx = 1. Then, we get

Δy =

=

⇒= Δy + 3

Now, dy is approximately equal to Δy and is given by:

dy =

= 0.009

Therefore, the approximate value of is 3.009