Differential calculus and probability, Mathematics

Assignment Help:

Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order to maximise the volume of the box.

a) Develop the volume function based on the information provided above.

b) Calculate the volume of the box when she cuts off 3cm, 4cm and 5cm squares.

c) Use your knowledge of polynomials and help Josephine determine which the best solution is. Which option would provide the box with the maximum capacity and what is the volume of the box? Explain in details!


Related Discussions:- Differential calculus and probability

Calculus 1, Suppose a Ferris wheel with radius of 12 meters is rotating at ...

Suppose a Ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute. a. How fast is a person rising when the person is 3 meters above the horizontal lin

What is the average number of miles lori ran, Lori ran (5)1/2 miles Monday,...

Lori ran (5)1/2 miles Monday, (6)1/4 miles Tuesday (4)1/2 miles Wednesday and (2)3/4 mile on Thursday what is the average number of miles lori ran ? To find the average, add

Indices, 16 raised to the power x eqaual to x raised to the power 2. find x...

16 raised to the power x eqaual to x raised to the power 2. find x

Triple integral transformed, An elliptical galaxy has gravitational boundar...

An elliptical galaxy has gravitational boundaries defiend by 9x 2 +16y 2 +144z 2 =144. A black hole at the center of the galaxy is interacting with dark matter producing a radiatio

Simplification, If 3/5=5,4/7=8,8/7=6 then, what should 9/6 be ?

If 3/5=5,4/7=8,8/7=6 then, what should 9/6 be ?

Probability, One coin is tossed thrice. what will be the probability of get...

One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails

Ineqaulites, how to work out inequalities with negative signs?

how to work out inequalities with negative signs?

Tied rankings, Tied Rankings A slight adjustment to the formula is mad...

Tied Rankings A slight adjustment to the formula is made if several students tie and have the similar ranking the adjustment is: (t 3 - t)/12 Whereas t = number of tied

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd