You are designing the top of a pencil pouch that consists of a rectangle to which a semi circle has been attached to both ends (see the sketch). The semicircles will be made from a material that costs 1ct per square centimeter. The material of the rectangular part costs 4ct per square centimeter. The perimeter of the pouch must be 80cm. How do you have to choose the radius and the ‘open’ side of the rectangle so that the cost is minimal? Before you start, label your sketch!
You are designing the top of a pencil pouch that consists of a rectangle to which...
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...
I wrote a program which computes the area and perimeter of a square, circle, or rectangle. As you will see in my main function, there is a for loop in which the user is supposed to be able repeat the program until they enter "q" to quit. However, my program runs through one time, the prompt appears again, but then it terminates before the user is allowed to respond to the prompt again. I'm not able to debug why this...
3) You are constructing a 12 cubic feet box that is open at the top. The material used to construct the bottom costs $3 per square foot and the material used to construct the sides is $1 per square foot. What dimensions should you use to minimize the cost of the materials? Set up and solve using the LaGrange method.
(15 points - 3 points each) A rectangular storage container with open top is designed to have a volume of 10 cubic meters. The length of its base is twice its width. Assume the material for the base costs 10 dollars per square meter, and the sides 6 dollars per square meter. Assume also you wish to minimize the cost of a container of that volume. (a) Draw a sketch of the situation. (b) Write down the function to be...
Calculates the dimensions for various fish pond configurations. Specifically, the program will calculate the volume for the pond in cubic feet, the surface area of the sides and bottom of the fish pond, and the area of a 2-foot wide border around the edge of the pond.Ponds come in predefined sizes and shapes. There are: - circular ponds, diameter: 5 feet - square ponds, side: 5 feet - rectangular ponds, dimensions: 4 feet by 7 feet - ovoid ponds, dimensions:...
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. (The diameter of the semicircle is equal to the width of the rectangle.) Find the dimensions of a Norman window if the perimeter of the window is 20 fot so that the maximum amount of light is admitted, Enter the exact answers Enclose numerators and denominators in parentheses. For example, (a - b)/(1+r). Length (in feet) Width (in feet): Hint Penalty Hint 0.0...
Project 1 – Classes and Top-down Design Overview Software development projects using the object-oriented approach involve breaking the problem down into multiple classes that can be tied together into a single solution. In this project, you are given the task of writing some classes that would work together for providing a solution to a problem involving some basic computations. Learning Objectives The focus of this assignment is on the following learning objectives: • Be able to identify the contents of...
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...
QUESTIONS TO ANSWER:
Prepare a table of all chemicals used with the structure and
purpose of each.
Calculate the theoretical yield by finding limiting reactant of
the experiment by converting reactants to product (remember to show
all calculations used)
Calculate the percent yield using the limiting reactant
Calculate the Rf for triphenylmethanol. If there are two dots,
determine which one is triphenylmethanol.. ( I did not provide
data. Please let me know how I Would do this if I did)...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...