an open box is made by taking an 8cm by 10cm sheet of cardboard and cuttign square corners whose sides have length x, and then bending up the sides. Which length x gives the maximum volume? What is the volume? Calculus techniques must be used.

Q: total area of triangle and circle whic is obtained the maximum

A: Length of wire = 100 cm Diameter of circle = d cm

Q: A rancher has 152 ft of fencing to enclose a rectangular area that will be bonded on one side by her…

A: We have to find the largest area of rectangle.

Q: A wire is to be cut into two pieces. One piece will be bent into an equilateral triangle, and the…

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Q: In constructing an open rectangular box from 75 ft² of material, what dimensions will result in a…

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Q: 7. If a cylinder has a surface area of 60 square inchess and a diameter of 3 inches, what is its…

A: Given :  Surface area of cylinder = 60 sq. Inches Diameter (2r ) = 3 inches

Q: How many liters of paint are needed to paint the exterior wall of an astronomical observatory…

A:

Q: Will the ladder be long enough to reach the bottom of the window (the base of the ladder cannot be…

A: We have to find that if the length of ladder would be long enough to reach the bottom of the window.

Q: you have been asked to design a one-liter oil can shaped like a right circular cylinder. what…

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Q: How does dilation work in geometry? Explain in detail.

A:

Q: The owner of the Rancho Los Feliz has 3000 yd of fencing with which to enclose a rectangular piece…

A: Let, length of the fencing parallel to the river is x yd.    Let, length of the fencing…

Q: A right inverted circular cone has height of 8 meters and base radius of 3 meters. Assuming that the…

A: Given that, a right inverted circular cone has height of 8 meters and base radius of 3 meters.

Q: Use calculus to derive the volume of the unit sphere.

A: Use calculus to derive the volume of the unit sphere.