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

Sin[cot-1{cos(tan-1x)}], sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  ...

sin (cot -1 {cos (tan -1 x)}) tan -1 x = A  => tan A =x sec A = √(1+x 2 ) ==>  cos A = 1/√(1+x 2 )    so   A =  cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s

Hours, jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how l...

jeff left hartford at 2:15 pm and arrived in boston at 4:45 pm how long did the drive take him?

Help, draw a right angle isosceles triangle with 9 triangles in it

draw a right angle isosceles triangle with 9 triangles in it

Problem, if .77x + x = 8966.60, what is the value of x?

if .77x + x = 8966.60, what is the value of x?

Compound interest, some experts estimate that the cost of education in the ...

some experts estimate that the cost of education in the US increases by 6% p.a. An Ivy League college currently costs $24,502 for one year''s study today. Using compound interest r

Derivatives to physical systems, Derivatives to Physical Systems: A st...

Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p

How to find value in polynomial?, Example  Find the values of the ...

Example  Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc          =       8.2

Mensuration, In an equilateral triangle 3 coins of radius 1cm each are kept...

In an equilateral triangle 3 coins of radius 1cm each are kept along such that they touch each other and also the side of the triangle. Determine the side and area of the triangle.

I need help with my homework.., Uh on my homework it says 6m = $5.76 and I ...

Uh on my homework it says 6m = $5.76 and I dont get it..

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