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8) The rectangular box below, with an open top and one partition, is to be constructed...
A graphing calculator is recommended. A box with an open top is to be constructed from...
A graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 30 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). 30 in. х x х 14 in. х х х х (a) Find a function that models the volume V of the box. V(x) (b) Find the values...
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides
A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides. Find the length of the side of the cut-out square so that the box has the largest possible volume. Also, find the volume of the box
Consider the following problem: A box with an open top is to be constructed from a square...
Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volumes of several such boxes. (b) Draw a diagram illustrating the general situation. Let...
all of them please CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a...
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2
1200 2of material in available to smake a rectangular box with ae se and open...
6. A rectangular box with an open top is being constructed so that its base is...
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...
8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the...
8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the field is against an existing wall, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to the existing wall, find the dimensions of the field of largest area that can be enclosed for $1000, 9. (11pts) A candy box is made from a...
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two p...
in urgent need with help on these three
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
Please answer the questions using MATLAB Exercise 1 Dimensions of the Largest Box An open bols to be made rom ฮ rectangular poce of cardboard measuring 8 x48. The box s made by cutting o ual squares...
Please answer the questions using MATLAB
Exercise 1 Dimensions of the Largest Box An open bols to be made rom ฮ rectangular poce of cardboard measuring 8 x48. The box s made by cutting o ual squares rom cach of its 4 corners and turning up the sides. Suggestion: you can try making one yourself with of paper) spare piece u8. 1. Let x be the side of a square removed from each corner. Express the volume v of the...
11. Determine the dimensions of a rectangular solid with a square base that maximizes the volume...
11. Determine the dimensions of a rectangular solid with a square base that maximizes the volume if its surface area is 337.5 cm? 12. Find f given each of the following. 3 a. f'(x)=x4 + +x -2e + 6 10 -8 sec? x+sin x+ 4x x? +1 b. F"(x)= S" (0)=3-2034 -800st +9 x c. F"(x)=-2+12x–12x², f'(0)=12, f(0) = 4
A graphing calculator is recommended. A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions W = 14 in. by L = 30 in. by cutting out equal squares of side x at each corner and then folding up the sides (see the figure). 30 in. х x х 14 in. х х х х (a) Find a function that models the volume V of the box. V(x) (b) Find the values...
all of them please
CU . a) A farmer wishes to enclose a rectangular pen whose area is 168 ft?.On 3 of the sides, he can use regular Fencing, which costs S3/ft. On the remaining side, he must use heavy-duty fencing, which costs S4/ft. Find the dimensions and cost of the most economical fence? ocus b) An open box with a square base must a have a volume of 864 in3. Find the least amount (area) of thin cardboard needed...
1200 2of material in available to smake a rectangular box with ae se and open top, And the dimensions of the bos of largest ohar 2. A rectangular box with square base and closed top is to have a volume of 1000 in. Find the dimensions of the box with the smallest amount of material used. 3. Use I'Hopital's rule to find 2 cos z-2+2
1200 2of material in available to smake a rectangular box with ae se and open...
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...
8. (10pts) A rectangular filed is to be enclosed with a fence. One side of the field is against an existing wall, so that no fence is needed on that side. If material for the fence costs $2 per foot for the two ends and $4 per foot for the side parallel to the existing wall, find the dimensions of the field of largest area that can be enclosed for $1000, 9. (11pts) A candy box is made from a...
in urgent need with help on these three
What point on the line y-7x + 8 is closest to the origin? Let D be the distance between the two points. What is the objective function in terms of the x-coordinate? (Type an expression.) a. Find the radius and height of a cylindrical soda can with a volume of 398 cm3 that minimize the surface area. b. Compare your answer in part (a) to a real soda can, which has a...
Please answer the questions using MATLAB
Exercise 1 Dimensions of the Largest Box An open bols to be made rom ฮ rectangular poce of cardboard measuring 8 x48. The box s made by cutting o ual squares rom cach of its 4 corners and turning up the sides. Suggestion: you can try making one yourself with of paper) spare piece u8. 1. Let x be the side of a square removed from each corner. Express the volume v of the...
11. Determine the dimensions of a rectangular solid with a square base that maximizes the volume if its surface area is 337.5 cm? 12. Find f given each of the following. 3 a. f'(x)=x4 + +x -2e + 6 10 -8 sec? x+sin x+ 4x x? +1 b. F"(x)= S" (0)=3-2034 -800st +9 x c. F"(x)=-2+12x–12x², f'(0)=12, f(0) = 4
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