![gemouljr](/avatars/5724.jpg)
gemouljr
14.06.2020 •
Mathematics
sporting goods manufacturer designs a golf ball having a volume of 2.56 cubic inches. (a) What is the radius of the golf ball? (b) The volume of the golf ball varies between 2.53 cubic inches and 2.59 cubic inches. How does the radius vary? (c) Use the ε-δ definition of limit to describe this situation. Identify ε and δ.
Solved
Show answers
More tips
- C Computers and Internet How to Choose a Monitor?...
- S Style and Beauty How to Get Rid of Peeling Nails: Natural Remedies...
- S Science and Technology Understanding Magnetic Storms: A Guide to This Natural Phenomenon...
- F Family and Home What is Most Important in Men s Lives?...
- G Goods and services Which TV is better - LCD or Plasma?...
- C Computers and Internet Are there special gaming mice?...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
- C Computers and Internet 3D Glasses! What is this thing?...
- C Computers and Internet How to Reinstall Windows: A Detailed Guide for Beginners...
Answers on questions: Mathematics
- M Mathematics What is the value of 4³ I know I ask alot but please help!!...
- M Mathematics What is the value of 4³ can somebody help me!!...
- M Mathematics E. The district decides to immediately retest and athlete who tests positive. Assume that the results of an athlete s two tests are independent. Find the probability...
- M Mathematics European vacation answer key looking for the answer key for the worksheet Rates& conversions European vacation...
- M Mathematics 1. UNDERLINE THE CORRECT ANSWER (Do not underline more than 1 answer) (Each question carries 1 mark) A. Following is a drawing of a tiled floor. This drawing shows...
- M Mathematics Hurry PLZ!! What is the equation for the line in slope-intercept form? Enter your answer in the box....
- M Mathematics A Ferris wheel has a 48-foot radius and the center of the Ferris wheel is 52 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular...
- M Mathematics CAN SOMEONE HELP ME PLEASE ASAP!?...
- M Mathematics La foto tiene la pregunta...
- M Mathematics Complete the ratio tables soup A Soup B sodium(grams) 3 [] Sodium(grams) 9 [] soup (cups) 13 130 Soup(cups) 10 130 Which soup has more sodium per cup? soup A Soup...
Ответ:
a) The volume is 2.56 in^3
The volume of a sphere is V = (4/3)*3.14*r^3
where r is the radius, so here we have:
V = 2.56 = (4/3)*3.14*r^3
r = (2.56*3/(4*3.14))^(1/3) = 0.8488 inches.
b) the minimum radius can be:
r = (2.53*3/(4*3.14))^(1/3) = 0.8454 inches
the maximum radius can be:
r = (2.59*3/(4*3.14))^(1/3) = 0.8520 inches
c) Here radius will be our x (so δ is related to the radius) and the volume is our y (so ε) is related to the volume.
Now, the ε is easy to find, the mean value of the volume is 2.56, and the range is 2.53 to 2.59, so the value of ε = 0.03
For the delta we can do the same thinking, the mean value is r = 0.8488.
The delta will be:
δ = 0.8488 - 0.8454 = 0.0034
δ = 0.8520 - 0.8488 = 0.0032
We need to take the biggest value for delta, so we have:
ε = 0.03 in^3
δ = 0.0034 in
Ответ: