![goldenarrow](/avatars/8396.jpg)
goldenarrow
26.08.2019 •
Mathematics
The measurement ol the edge of a cube is found to be 12 inches, with a possible error of 0.03 inch. use differentials to approximate the maximum possible propagated error in computing the volume of the cube and the surface area of the cube. (round your answers to four decimal places.)
Solved
Show answers
More tips
- W Work and Career How to Start Your Own Business: Tips and Recommendations...
- S Society and Politics 10 Tips for Boosting Your Self-Esteem...
- C Computers and Internet How to Create a Folder on Your iPhone?...
- G Goods and services How to sew a ribbon: Tips for beginners...
- F Food and Cooking How to Make Mayonnaise at Home? Secrets of Homemade Mayonnaise...
- C Computers and Internet Which Phone is Best for Internet Surfing?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics The quadratic function d=−5x2+77 models a sled s distance, in feet, from the bottom of a hill x seconds after the sled starts moving down the hill. When does the sled get to the bottom...
- M Mathematics The cost function for Shannon s new clothing store where she sells T-shirts is C $8.75n+ 925. What is the slope of the cost function for Shannon s new store?...
- H Health ¿Donde se puede encontrar una bicapa lipídica?...
- B Biology What is the consequence of deforestation? (Plato question)...
- M Mathematics Use place value to solve. pablo has a piece of wire that is 0.08 meters long. beth has a piece of wire that is ten times as long as pablo s wire. li s wire is 1/10 as long as pablo...
- H History What were the key points of Sir Edward Grey s speech to Great Britain s parliament...
- B Biology Which structures stores waste products in the leaves of plants? Chloroplast Guard cells Mitochondria or vacuoles...
Ответ:
Step-by-step explanation:
Hello!
In order to solve this problem we'll start by writing down the data below:
Now we are going to define two functions, the volume and the surface area of the cube in function of the measured edge a:
volume:![V(a)=a^{3}](/tpl/images/0200/7432/c2f9b.png)
surface area:![S(a)=6*a^{2}](/tpl/images/0200/7432/cbc96.png)
Ok so, for the maximum possible propagated error in computing the volume of the cube. We derivate V(a) and obtain:
solve for dV and compute:
There it is for the volume...
Now we'll proceed to do exactly the same but with the function S(a):
Ответ:
Step-by-step explanation:
3, 45
1, 15 up
15, over 1