4.7 Worksheet.pdf - Math 1A Worksheet Section 4.7 Example 1 A ball is thrown straight up into the air and it’s height after t seconds is given by h(t

4.7 Worksheet.pdf - Math 1A Worksheet Section 4.7 Example 1...

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Math 1A Worksheet Section 4.7 Example 1. A ball is thrown straight up into the air and it’s height after t seconds is given by h ( t ) = 4 + 48 t - 16 t 2 . Determine how long it will take for the ball to reach its maximum height and determine the maximum height. Confirm your solution using the first or second derivative test. Example 2. An ordinary soda can has a volume of 355 cm 3 . Find the dimensions (radius r and height h ) that minimize the surface area of a such a can. We assume the can is in the shape of a cylinder. Confirm your solution using the first or second derivative test. Example 3. A piece of wire 80 inches long is to be cut into at most two pieces. Each piece will be bent into the shape of a square. How should this be done to minimize the sum of the area(s) of the square(s)? How about to maximize it? Confirm your solution using the first or second derivative test. Example 4. A farmer has 400 feet of fencing material with which to make a rectangular pen. What is the maximum area of a pen that can be constructed? What
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  • Fall '16
  • Ms. Albers
  • Imperial units

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