Question: 1. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1x2. What are the dimensions

1. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1x2. What are the dimensions of such a rectangle with the greatest possible area?

Width=?

Height=?

2. A box with an open top has vertical sides, a square bottom, and a volume of 4 cubic meters. If the box has the least possible surface area, find its dimensions.

Height = ? (Include units)

Length of Base =? (Include units)

3. Find the point on the line? 5 x + 7 y? 3 = 0 which is closest to the point (4, 4 )?

Step by Step Solution

★★★★★

3.50 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 2 3 Axx 1x Axxx ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1019-B-C-A-C-P-A(4634).docx

120 KBs Word File

Students Have Also Explored These Related Cost Accounting Questions!

A rectangle is drawn so the width is 17 inches longer than the height. If the rectangle's diagonal measurement is 53 inches, find the height.

The area moment of inertia Ixo of a rectangle about the axis x0 passing through its centroid is Ixo = 1/12 bh3. The moment of inertia about an axis x that is parallel to x0 is given by Ix = Ixo +...

Imagine an economy with only two people. Larry earns $20,000 per year while Roger earns $80,000 per year. As shown in the following figure, the Lorenz curve for this two person economy consists of...

Please help me with these questions from Math 151. Thank you so much. 1. A box with a square base and gpen top_ must have a volume of 119164 cmg. We wish to find the dimensions of the box that...

Question 2 (2 points) Question 2 options: A box with a square base and open top must have a volume of 55,296 cm 3 . We wish to find the dimensions of the box that minimize the amount of material...

help me solve these math problems If 1900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume = cubic...

Home > Math 261 Calc | Summer 2023 > Assessment 3.5 Progress saved Done VOCO Score: 5.33/9 5/9 answered .Question 6 0/1 pt 9 5 0 Details A rectangle is inscribed with its base on the x-axis and its...

Please help with explanation! Find the minimum distance from the parabola x-y' =0 to the point (0, 3). Minimum distance =A rectangle is inscribed with its base on the xaxis and its upper corners on...

2 4 (1 point) Let f[?) = 8 + 2 Find the open intervals on which f is increasing (decreasrng), Then determine the m-coordinates of all relative maxima (minima) at: m 1. f is increasing on the...

Section 4.7.P1 Applied Optimization Problems - Dimension Score: 0.5/10 lx' 10 answered Progress saved Done a {5' Question 2 . a 0.5/1 pt '0 9799 r: 99 (3 Details Textbook @2 Videos f [+1 Score on...

Suppose fn(x)

There is a freshly issued 10-year inflation-linked bond with a face value of 1,000. Inflation in the coming year is 3%. What is the principal at the beginning and end of this year and the coupon this...

Question 2 ( 2 0 points ) Determine if the differential equation is first order linear or not. x 3 y ' + 2 y = e 1 x 2 x 3 y y ' + x y 2 = 1 6 x x 3 y ' + x 4 y 2 = 0 First Order Linear x 3 y ' + x 4...

The graphical interpretation is as follows. At point B the value of q is consistent with an equilibrium investment plan. Now take a slightly higher value of q, say the one associated with point B',...

Explain which of the two following structures would be more stable. Explain whether they represent isomers or are resonance structures. HIN: H N-H H :0: N-H HIN

Draw a Lewis structure for carbon monoxide (CO). Calculate the formal charges on the atoms and comment on the stability of this compound.

Use heavy and dashed wedged hues to show the shapes of the following molecules. Show the bond dipole of each polar bond and show the overall dipole of each molecule. a) H H-C-N-H HH b) F F-C-F H H: T...

Please graph the distribution on the previous page with a histogram in the grid below. Place the classes of the sample proportion on the xaaxis {make each bar a width of one block) and the...

Question 3: You exchange USD 3,000 for EUR 2,631.58. What is the X0USD/EUR exchange rate? 0.61 1.55 0.88 1.14 Question 4 5 pts Question 4: You exchange MXN18,000 for USD1,215.40. What is the...

Hello, i need help solving this on screen 4. Determine the area under the standard normal curve that lies between -2.5 and -2 5. A variable is normallv distributed with a mean 58 and standard...