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

What percent of the figure below is shaded, What percent of the figure belo...

What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4; 3/4 is 75%.

Linear algrebra, how do we solve multiple optimal solution

how do we solve multiple optimal solution

Example of line - common polar coordinate graphs, Example of line - Common ...

Example of line - Common Polar Coordinate Graphs Example:  Graph θ = 3Π, r cos θ = 4 and r sin θ = -3 on similar axis system. Solution There actually isn't too much to

Compute projection scale factor, 1. A survey line on campus is measured to ...

1. A survey line on campus is measured to be 1000.00 ft long on horizontal ground. The elevation of the line is 700.00 feet and the geoid separation from ellipsoid to geoid is -110

Areas related to circles in mensuration, AREAS  RELATED TO CIRCLES The...

AREAS  RELATED TO CIRCLES The  mathematical  sciences particularly  exhibit  order,  symmetry,  and limitation;  and  these  are the  greatest  forms  of the beautiful. In t

Word problem, Twins Olivia and Chelsea and their friend Rylee were celebrat...

Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh

Determine the value of the unknown side of a right triangle, Determine the ...

Determine the value of the unknown side of a right triangle: The two legs of a right triangle are 5 ft and 12 ft.  How long is the hypotenuse? Now Let the hypotenuse be c ft.

Area and Perimeters, The top of the new rectangular Big Gig Thingamajig is ...

The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?

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