Question

The length, width, and height of a box are measured as 5 ft, 3 ft, and...

The length, width, and height of a box are measured as 5 ft, 3 ft, and 7 ft, respectively, with an error in measurement of at most 0.1 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The length, width, and height of a box are measured as 6 ft, 5 ft, and...
The length, width, and height of a box are measured as 6 ft, 5 ft, and 3 ft, respectively, with an error in measurement of at most 2/10 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box. *fraction form (exact asnwer) please, no decimals*
A box must be with a sum of length, width, and height not exceeding 180 in....
A box must be with a sum of length, width, and height not exceeding 180 in. What can the demesions and volume of a box be with the greates volume with these terms? V= The interval of interest of the objective function is ____ The length of the box edge is ____ in. the box height is ____ in. The greatest vilume of the box is _____ in^3.
The height, width and length of a closed rectangular box are changing by 1m/s,2m/s and 1m/s...
The height, width and length of a closed rectangular box are changing by 1m/s,2m/s and 1m/s respectively. find the rates of change of a) volume and b)surface area of the box when the height, width and length are 4m, 3m and 2m respectively.
The dimeter of the base and the height of a cylindrical can are measured, and the...
The dimeter of the base and the height of a cylindrical can are measured, and the measurement are known to have errors of at most 0.5cm. if the dimeter and height are taken to be 4cm and 6cm, respectively, estimate the maximum possible error in a- the volume V of the cylindrical. b- the surface area S of the cylindrical.
A model for the surface area of a human body is given by S = 0.1096w0.425h0.725,...
A model for the surface area of a human body is given by S = 0.1096w0.425h0.725, where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. If the errors in measurement of w and h are at most 6%, use differentials to estimate the maximum percentage error in the calculated surface area. (Round your answer to one decimal place.)
The radius and the height of a circular cone was measured and found to be 10...
The radius and the height of a circular cone was measured and found to be 10 cm and 30 cm with possible errors in measurement of at most 0.1 cm and 0.05 cm respectively. What is the largest possible error in using these values to compute the volume of the cone?
Find the dimensions (i.e. length, width, height) of a box (with a top) that has a...
Find the dimensions (i.e. length, width, height) of a box (with a top) that has a volume of 64000 cubic centimeters that minimizes the surface area.
The circumference of a sphere was measured to be 84 cm with a possible error of...
The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error? (Round your answer to three decimal places.) (b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.) cm3 What is the relative error? (Round your answer to...
A model for the surface area of a human body is given by S = 0.1091w^0.425...
A model for the surface area of a human body is given by S = 0.1091w^0.425 h^0.725, where w is the weight (in pounds) and h is the height (in inches), and S is measured in square feet. If the errors in measurements of w and h are at most 2%, use differentials to estimate the maximum error in the calculated area.
The length ℓ, width w, and height h of a box change with time. At a...
The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 2 m and w = h = 9 m, and ℓ and w are increasing at a rate of 7 m/s while h is decreasing at a rate of 8 m/s. At that instant find the rates at which the following quantities are changing. The length of a diagonal?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT