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

How many ways are there to seat these children, Question: (a) Suppose ...

Question: (a) Suppose that a cookie shop has four different kinds of cookies. Assuming that only the type of cookie, and not the individual cookies or the order in which they

Coprime positive integer, 6 male students and 3 female students sit around ...

6 male students and 3 female students sit around a round table. The probability that no 2 female students sit beside each other can be expressed as a/b, where a and b are coprime p

Callie grandmother pledged $0.50 for each mile callie walked, Callie's gran...

Callie's grandmother pledged $0.50 for each mile Callie walked in her walk-a-thon. Callie walked 9 miles. How much does her grandmother owe? Multiply the number of miles (9) th

Integers, Whats some negative integers that equal 36

Whats some negative integers that equal 36

Continuous uniform distribution, Continuous Uniform Distribution Consid...

Continuous Uniform Distribution Consider the interest earned on a bank deposit. Let X equal the value after the decimal point. (Assume no rounding off to the nearest paise.) Fo

How many multiplication required to calculate matrix product, (a) Assume th...

(a) Assume that A is a m 1 ×m 2 matrix and B is a m 2 ×m 3 matrix. How many multiplications are required to calculate the matrix product AB? (b) Given that A 1 is a 20 × 50 m

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