Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Indeterminate Forms L’Hopital’s Rule.

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Presentation transcript:

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Indeterminate Forms L’Hopital’s Rule

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Indeterminate Forms

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Indeterminate Forms

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Other Indeterminate Forms

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Other Indeterminate Forms Find a common denominator

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule Other Indeterminate Forms – Indeterminate Powers

Sec 4.5 – Indeterminate Forms and L’Hopital’s Rule

Sec 4.6 – Applied Optimization 2) A cardboard box manufacturing company has to maximize the volume of a box made from a 24-inch by 9-inch sheet of cardboard. What are the dimensions of the box? 3) A box is to be constructed where the base length is 3 times the base width. The material used to build the top and bottom cost $10 per square foot and the material used to build the sides cost $6 per square foot. If the box must have a volume of 50 cubic feet, determine the dimensions that will minimize the cost to build the box. 4) A printer need to make a poster that will have a total area of 200 in 2 and will have 1 inch margins on the sides, a 2 inch margin on the top and a 1.5 inch margin on the bottom. What dimensions will give the largest printed area?