The edge of a cube was found to be 30 cm with a possible error in measurement of 0.5 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (Round your answers to four decimal places.) My Notes Ask Your Teacher (a) the volume of the cube maximum possible error relative error percentage error cm
(b) the surface area of the cube maximum possible error relative error percentage error cm Need Help? ReadTalk to Tuter

Answer with Step-by-step explanation:

We are given that

Side of cube, x=30 cm

Error in measurement of edge, cm

(a)

Volume of cube,

Using differential

Substitute the values

Hence,  the maximum possible error in computing the volume of the cube

=

Volume of cube,

Relative error=

Relative error=0.05

Percentage  error=%

Hence, relative error in computing the volume of the cube=0.05  and

percentage error in computing the volume of the cube=5%

(b)

Surface area of cube,

The maximum possible error in computing the volume of the cube=

Relative error=

Relative error  in computing the volume of the cube=0.033

The percentage error in computing the volume of the cube=%

the answer

b. they are parallel and will never intersect.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;