Question: An open box can be made from a rectangular piece of cardboard by cutting a square of length x from each corner and bending up

An open box can be made from a rectangular piece of cardboard by cutting a square of lengthxfrom each corner and bending up the sides. See the figure below. If the cardboard measuresa=22cm byb=32cm, then the volume of the resulting box is given by

V(x) =x(222x)(322x).

Sketch the graph ofV(x) forx> 0.

What is the domain of the functionV? (Assume that the volume must be greater than 0. Enter your answer using interval notation.)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

17-118 Precalculus-Algebra Section 3.1 Well-Written Name: 1. An open box can be made from a rectangular piece of cardboard by cutting a square of length x from each corner and bending up the sides,...

Please attach a solution VVS: 31 A5 Summer 23 4. A rectangular open-topped box is to be made from a rectangular piece of material by cutting a square from each corner and folding up the sides. The...

Content X A 271-4.7 Optimization - MAT 27 X + C webassign.net/web/Student/Assignment-Responses/last?dep=31806940 M Gmail YouTube Maps s ms7264723 ~ Ho... O World Religions-C... E My Shelf | RedShelf...

1. Each member of your group needs to nd a rectangular piece of paper. 1What are the dimensions of your paper? 1What is the area of your paper? 2. Cut squares out of each of the corners of the paper...

(188) Hw 3.1 (Homework) (188) Hw 3.2 (Homework) ' g A soft-drink vendor at a popular beach analyzes his sales records and nds that if he sells x cans of soda pop in one day, his prot {in dollars} is...

Hi I didn't get these right could you explain why and provide the correct answer! 0/ 10 points 3 0 / 10 points An open-top rectangular box with square base is to be made from An open-top rectangular...

Only have to answer a minimum of 6 questions MAC 2311 Optimization Problems MAC 2311 worksheet # 10 1. The product of two positive numbers is 363. Minimize the sum of the first and three times the...

MAC 2311 worksheet # 10 strategy guide The following elements need to be a part of solutions for optimization problems. ( max mins ) : 1) A carefully labeled diagram for problems involving geometry....

Tutorial Exercise A rectangular box which is open at the top can be made from an 24-by-30-inch piece of metal by cutting a square from each corner and bending up the sides. Find the dimensions of the...

(1 point) A rectangle's lower edge is on the x-axis and its upper two corners are on the semicircle y = \"4 x2. What length and width should the rectangle have so that its area is a maximum? Length...

(a) Write code to implement the Quicksort algorithm. Your code should print both the input and output arrays to the screen. (b) Using the list LArray = {26, 14, 52, 7, 15, 37, 91, 2, 28, 73}...

In September 2021 Paulo retired and bought a property in Cambridge, title to which had already been registered, from Samantha. Paulo was registered as proprietor of the land. Paulo discovered soon...

Trade or business expenses are treated as: Mutiple Choice Deductitie only if the activity had subrtantial income. An temired deduction if not reimbursed. Deductible an temired deductions subject to...

By giving an example of how each could be successfully utilized, demonstrate you understand the difference between a competitive action and a competitive response.

4. I try to make them feel what I really mean (1 is related to the visionary, 2 to the logical, 3 to action and 4 to the emotional).

4. What is the goal of the others in the network?

2. What we can learn from the past