a metal box with square base of side length x A closed (cuboid) box with a square base is to have a volume 2000 c. c. The material for the top and bottom of the box is to cost Rs. 3 per square c m and the material for the sides is to cost Rs. 1.50 per square c m. If the cost of the materials is to be the least, find the dimensions of the box. Experience unparalleled carving, cutting, and shaping capabilities in woodworking and more. Elevate your craft with this advanced CNC system. Configure, Design and Cut projects in minutes - all on one, easy-to-use platform.
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Let length of the side of square base be x c m and height of the box be y c m. Let ' C ' be the cost of the material of the box. So, x = 8 is a point of minima. Hence, the least cost of the box is ₹ ₹ .Find the absolute maximum and minimum values of the function f given by f (x) = cos 2 x + sin x, x ∈ [0, π]. A rod of 108 meters long is bent to form a rectangle. Find its dimensions if the area is .
Let length of the side of square base be x c m and height of the box be y c m. Let ' C ' be the cost of the material of the box. So, x = 8 is a point of minima. Hence, the least cost of the box is ₹ ₹ ₹ 1920. Q. A metal box with a square base and vertical height is to contain 1024 cm2.Find the absolute maximum and minimum values of the function f given by f (x) = cos 2 x + sin x, x ∈ [0, π]. A rod of 108 meters long is bent to form a rectangle. Find its dimensions if the area is maximum.A closed (cuboid) box with a square base is to have a volume 2000 c. c. The material for the top and bottom of the box is to cost Rs. 3 per square c m and the material for the sides is to cost Rs. 1.50 per square c m. If the cost of the materials is to be the least, find the dimensions of the box.A rectangular box with an open top is constructed from cardboard to have a square base of area x 2 and height h. If the volume of this box is 50 cubic units, determine how many square units of cardboard are required to make this box ( in terms of x).
Let x be the side of the square base and y be the length of the vertical sides. Area of the base and bottom = 2x 2 cm 2 ∴ Cost of the material required = ₹ 5 × 2x 2A metal box with a square base and vertical sides is to contain 1024 cm 3. The material for the top and bottom costs Rs 5/cm 2 and the material for the sides costs Rs 2.50/cm 2. Find the least cost of the box. A metal box with a square base and vertical sides is to contain 1024 cm3 of water, the material for the top and bottom costs Rs 5 per cm2 and the material for the sides costs Rs 2.50 per cm2. Find the least cost of the box. Let C denotes the cost of the box. ⇒ C = 10x2 + 10240 x ⇒ C = 10 x 2 + 10240 x ...... (i)
•The width and length of the box are labeled x. •The height of the box is labeled y and appears to be taller than x. If the top and bottom of the box cost 150 cents per square inch and the sides cost 90 cents per square inch, find the dimensions (in inches) that minimize the cost. The second derivative test verifies that A has a minimum at this critical number: A'' = 2+(256,000)/x^3 which is positive at x = 40. The box should have base 40 cm by 40 cm and height 20 cm. (use h = (32,000)/x^2 and x=40)A box has a square base of side length x meters and height h meters. The volume of the box is V(h,x) and S(h,x) is the combined surface area of all six sides of the box. (a) = (b) = ди ah av дх as ah as дх (c) 4x (d) 4(x+h) (e) Sx(2,3) = 20 A rectangular box must have a volume of 2 .Let length of the side of square base be x c m and height of the box be y c m. Let ' C ' be the cost of the material of the box. So, x = 8 is a point of minima. Hence, the least cost of the box is ₹ ₹ ₹ 1920. Q. A metal box with a square base and vertical height is to contain 1024 cm2.
Find the absolute maximum and minimum values of the function f given by f (x) = cos 2 x + sin x, x ∈ [0, π]. A rod of 108 meters long is bent to form a rectangle. Find its dimensions if the area is maximum.A closed (cuboid) box with a square base is to have a volume 2000 c. c. The material for the top and bottom of the box is to cost Rs. 3 per square c m and the material for the sides is to cost Rs. 1.50 per square c m. If the cost of the materials is to be the least, find the dimensions of the box.
A rectangular box with an open top is constructed from cardboard to have a square base of area x 2 and height h. If the volume of this box is 50 cubic units, determine how many square units of cardboard are required to make this box ( in terms of x).Let x be the side of the square base and y be the length of the vertical sides. Area of the base and bottom = 2x 2 cm 2 ∴ Cost of the material required = ₹ 5 × 2x 2A metal box with a square base and vertical sides is to contain 1024 cm 3. The material for the top and bottom costs Rs 5/cm 2 and the material for the sides costs Rs 2.50/cm 2. Find the least cost of the box. A metal box with a square base and vertical sides is to contain 1024 cm3 of water, the material for the top and bottom costs Rs 5 per cm2 and the material for the sides costs Rs 2.50 per cm2. Find the least cost of the box. Let C denotes the cost of the box. ⇒ C = 10x2 + 10240 x ⇒ C = 10 x 2 + 10240 x ...... (i)
•The width and length of the box are labeled x. •The height of the box is labeled y and appears to be taller than x. If the top and bottom of the box cost 150 cents per square inch and the sides cost 90 cents per square inch, find the dimensions (in inches) that minimize the cost. The second derivative test verifies that A has a minimum at this critical number: A'' = 2+(256,000)/x^3 which is positive at x = 40. The box should have base 40 cm by 40 cm and height 20 cm. (use h = (32,000)/x^2 and x=40)
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a metal box with square base of side length x|metal box with square base