Please, someone can help to solve this tricky question?
Please, someone can help to solve this tricky question? Score! 07120 U12 drswereu Question 1 <...
A box with a square base and open top must have a volume of 296352 cm. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. A(x) = Next, find the derivative, A'(x). A'(x) = The critical value is 3 = The function is decreasing ✓ until the critical...
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...
Y 240 All boxes with a square base, an open top, and a volume of 60 ft have a surface area given by S(x)= x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). 240 S'(x) = 2x- The absolute minimum value of the surface...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
Homework: HW Section 6.5 (must earn 90% to earn 10 points) Save Score: 0.5 of 1 pt 9 of 11 (11 complete) ▼ HW Score: 95.45%, 10.5 of 11 pts Question Help 6.5.32 Find the surface area and the volume of the cement block in the figure shown. What is the surface area of the cement block? in 956 in.2 6 in 5 in. What is the volume of the cement block? iin. 8 in 23 in Enter your answer...
Hi can you please answer these two questions!! ASAP, Thanks a lot!! :) 1) A rectangular box is to have a square base and a volume of 24 ft. 3. If the material for the base costs 20 cent/square foot, the material for the sides costs 10 cent/square foot, and the material for the top costs 40 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost. 2) A book designer has decided...
6. A rectangular box with an open top is being constructed so that its base is twice as long as it is wide. In addition, the base of the box cost $2 per square foot while the sides cost $1.50 per square foot. We only want to spend $16 on materials for the box. a. Draw a labeled diagram that represents the situation using relevant variables. b. Write a formula for the box's surface area, A, in terms of only...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
Revised by Prof. Kostadinov, Fall 2015, Fall 2014, Fall 2013, Fall 2012, Fall 2011, Fall 2010 Revised by Prof. Africk and Prof. Kostadinov Fall 2015, Spring 2016, #1 Identify the horizontal and vertical asymptotes of the following functions using the limit definitions: 2x2 o) yA- #2 Find the derivatives of the following functions using the definition of derivative: a) f(x)-2x-5x #3 Find the derivative v dr of the following functions, using the derivative rules: b) f(x)--2x +3x-4 #4 Find the...
Score: 0 of 1 pt 4 of 14 (2 complete) HW Score: 14.29%... Question Help 10.5.9 1 6 ft Find the volume of the figure. Express answers in terms of t, then round to the nearest whole number 10 ft Express the volume of the figure in terms of . (Type an exact answer in terms of .) Score: 0 of 1 pt 5 of 14 (2 complete) HW Score: 14.29%... 10.5.11 Question Help 1 6 ft Find the volume...