Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (32.03)4/5

16.024

Explanation:

Using linear approximation:

We breakdown the numbers in order to solve thus:

[32(1 + 0.1875)]^0.8

= (32^0.8)*(1 + 0.001875)^0.8

= 16* (1 + 0.8*0.001875)

= 16*(1.0015)

= 16.024

idk

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)