Derivative - practice problems - last page
Directions: Solve each problem carefully. Show all your work.Number of problems found: 45
- Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel w - Goat
The meadow is a circle with a radius r = 20 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine the cone's dimensions. - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Derivation
Does there exist a function whose derivative is the function itself?
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