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Extra Credit problem (7 Points A cylindrical can is to hold 63 m....
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
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...
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The...
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r : radius of can Volume of a cylinder: V = arh...
A cylindrical tank is constructed to hold 100 nin of water. If the botttom and top...
A cylindrical tank is constructed to hold 100 nin of water. If the botttom and top of the tank cost $50 per in?, while the (curved) sides only cost $8 per in? what should the dimensions of the tank be in order to minimize the cost? Recall that V r h and SA 2r22xrh. Find the dimensions of the tank. Round your answers to 2 decimal places Please upload a picture of your work for full or partial credit. Things...
Please use MATLAB to solve this problem. Thank you Problem-3 (25 Points) A cylindrical "Tin" Can...
Please use MATLAB to solve this problem. Thank you
Problem-3 (25 Points) A cylindrical "Tin" Can may be characterized by its base Radius, R, and height, h. See Diagram at Right. You work for a packaged-food company that uses this type of can. Your current assignment includes the task of designing a new can with constraints It has a total VOLUME of 57 in - The CoST to purchase and seal the can is to Sea be Minimized OLIV The...
Assignment 9: Problem 3 Previous Problem List Next (1 point) The figure below open cylindrical can, S, standing on...
Assignment 9: Problem 3 Previous Problem List Next (1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 +y2 = 9, and its height is 2. (a) Give a parametric equation, rt) for the rim, C r)= with (For this problem, enter your vector equation with angle-bracket notation: < f(t), g(t), h(t) >.) (b) If S is oriented outward and...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will have the minimum cost. We will now approach it using calculus methods. In class, we found the dimensions of a right circular cylinder (a “can") that has a volume of 1,000 cm3 using the minimum possible material. This assignment changes that problem slightly by seeking the minimum cost for a right circular cylinder whose volume is 1,000 cm3 where the...
answer asap please 7) (4 points) Three long straight wires carries currents as illustrated in the...
answer asap please
7) (4 points) Three long straight wires carries currents as illustrated in the following figure. What is the line integral H. dl along the rectangular loop? A) 20 A B) 10 A C )OAD) -20 A T1-10A - + 2m— 1; = 10 A G + 012-10 A Figure 2: Problem 1.(7) 8) (4 points) Consider a circular loop of radius a with uniform current 10A as illustrated in the following figure. What is the direction of...
(1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a...
(1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 + y2 = 9, and its height is 4. (a) Give a parametric equation, r(t) for the rim, C. r(t) with <t< (For this problem, enter your vector equation with angle-bracket notation: <f(t), g(t), h(t) >.) (b) If S is oriented outward and downward, find 's curl (-6yi + 6xj...
please write clearly 1. (10 points) A cylindrical can has a height of 15 mm and...
please write clearly
1. (10 points) A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the radius when the radius is 3 mm? Remember to include a negative sign if the radius is decreasing. 2. (10 points) Use a...
Hi can you please answer these two questions!! ASAP, Thanks a lot!! :) 1) A rectangular...
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...
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...
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs 0.04 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost. Helpful information: h : height of can, r : radius of can Volume of a cylinder: V = arh...
A cylindrical tank is constructed to hold 100 nin of water. If the botttom and top of the tank cost $50 per in?, while the (curved) sides only cost $8 per in? what should the dimensions of the tank be in order to minimize the cost? Recall that V r h and SA 2r22xrh. Find the dimensions of the tank. Round your answers to 2 decimal places Please upload a picture of your work for full or partial credit. Things...
Please use MATLAB to solve this problem. Thank you
Problem-3 (25 Points) A cylindrical "Tin" Can may be characterized by its base Radius, R, and height, h. See Diagram at Right. You work for a packaged-food company that uses this type of can. Your current assignment includes the task of designing a new can with constraints It has a total VOLUME of 57 in - The CoST to purchase and seal the can is to Sea be Minimized OLIV The...
Assignment 9: Problem 3 Previous Problem List Next (1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 +y2 = 9, and its height is 2. (a) Give a parametric equation, rt) for the rim, C r)= with (For this problem, enter your vector equation with angle-bracket notation: < f(t), g(t), h(t) >.) (b) If S is oriented outward and...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will have the minimum cost. We will now approach it using calculus methods. In class, we found the dimensions of a right circular cylinder (a “can") that has a volume of 1,000 cm3 using the minimum possible material. This assignment changes that problem slightly by seeking the minimum cost for a right circular cylinder whose volume is 1,000 cm3 where the...
answer asap please
7) (4 points) Three long straight wires carries currents as illustrated in the following figure. What is the line integral H. dl along the rectangular loop? A) 20 A B) 10 A C )OAD) -20 A T1-10A - + 2m— 1; = 10 A G + 012-10 A Figure 2: Problem 1.(7) 8) (4 points) Consider a circular loop of radius a with uniform current 10A as illustrated in the following figure. What is the direction of...
(1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 + y2 = 9, and its height is 4. (a) Give a parametric equation, r(t) for the rim, C. r(t) with <t< (For this problem, enter your vector equation with angle-bracket notation: <f(t), g(t), h(t) >.) (b) If S is oriented outward and downward, find 's curl (-6yi + 6xj...
please write clearly
1. (10 points) A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the cylindrical can is decreasing at a rate of 541 cubic mm per minute, with the height being held constant. What is the rate of change, in mm per minute, of the radius when the radius is 3 mm? Remember to include a negative sign if the radius is decreasing. 2. (10 points) Use a...
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