help with both please a) A company wants to build a parking lot along the side...
3. Suppose a farmer wants to build a rectangular enclosure along an existing stone wall. If the side along the wall needs no fence, find the dimensions of the largest enclosure that can be made with 500 feet of fence. Show all work.
Q4: A farmer has 375 feet of fence and wants to build a right triangle enclosure along a straight wall. If the side along the wall need no fence, find the dimensions that make the area of the enclosure as large as possible. (5 point) Q5: points A and B move along the x-axis and y-axis, respectively, in such a way that the distance r (meters) along the perpendicular from the origin to the line AB remains constant. How fast...
(6 4. A gardener wants to fence in a rectangular garden with one side along their shed. The side along the shed will not need fencing. If the gardener wants to use all 50 feet of fencing available, what dimensions will yield an enclosed region with an area of 312 square feet? Set up the equation that represents this situation and solve it.
A manufacturer wants to build a container in the shape of a (right circular) cone with volume 125 in3. How can they do this with the minimum possible surface area (base and sides)? Give the dimensions (radius and height) and the minimum area. Your solution should also use the second derivative to show that your critical point is in fact a minimum.
A manufacturer wants to build a container in the shape of a (right circular) cone with volume 125...
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work. Label your answers with the proper units. (3 points each ) A spherical ball is being inflated at the rate of 12 cubic inches per second. Find the rate at which the radius of the sphere is growing when the radius is 2 inches. long. 2. A 13 foot ladder is leaning against a wall. The base of the ladder is being palled away...
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...
Consider the following problem: A breeder of horses wants to fence three rectangular grazing fields along the river with 1800 total feet of fencing as shown below. (Let x denote the vertical length of each of two sides and two dividers. Let y denote the horizontal length for each of the three grazing areas.) What is the largest possible total area (for all three grazing fields together) that she can enclose? What would the dimensions be for each grazing field?...
Help please?!? Can you please do out all four problems i did
the work already but want to double check my answers. thank you in
advance
Directions: Please clearly write your name, section number and the solutions to the following problems on a separate piece of paper. This assignment is due in class on Friday (3/29). Solutions that do not show work will be given minimal credit. You do not need a calculator for these problems. . A farmer wishes...
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 13-18 PLEASE!
Maximum Storage Area DUE DATE: This project is worth 10% of your Unit 2 grade. Please review the Project FAQ handout for format and process. Problem Situation A construction company wishes to build a rectangular enclosure to store machinery and equipment. The site selected borders on a river that will be used as one of the sides of the rectangle. Fencing will be needed to form the other three sides. The company foot high chain-link fencing. The...