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

Calculate the area and perimeter of a parallelogram, Calculate the area and...

Calculate the area and perimeter of a parallelogram: Calculate the area and perimeter of a parallelogram with base (b) = 4´, height (h) = 3´, a = 5´ and b = 4´.  Be sure to in

Multiplication and division , In multiplication and division we have 1) ...

In multiplication and division we have 1) Suggested ways of conveying the meaning of multiplication and division to children. These operations have to be taught as an activit

Limit problem, limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

Circles, Two tangents TP and TQ are drawn to a circle with center O from an...

Two tangents TP and TQ are drawn to a circle with center O from an external point T.prove that angle PTQ=angle 2 OPQ

Standardization of variables, Standardization of Variables - Before we...

Standardization of Variables - Before we use the general distribution curve to determine probabilities of the continuous variables, we require standardizing the original units

Word problem, a recipe good for 4 servings require 1/8 tsp. black pepper an...

a recipe good for 4 servings require 1/8 tsp. black pepper and 1/2 tsp. of salt. how much black pepper and how much salt needed for 2 servings?

Population problem - nonhomogeneous systems, The next kind of problem seems...

The next kind of problem seems as the population problem. Back in the first order modeling section we looked at several population problems. In such problems we noticed a single po

Inequalities and intervals, What inequalities and intervals are? If it is g...

What inequalities and intervals are? If it is given that a real number 'p' is not less than another real number 'q', we understand that either p should be equal to q or

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