MTH 142 Midterm: MTH 142 University of Rochester 2004 Fall Midterm1

• School: University of Rochester
• Department: Mathematics
• Course: MTH 142
• Professor: All

Document Summary

Math 142, test1, practice problems: a farmer has 2000 f t of fencing and want to fence o a rectangular eld that borders a straight river. Find the dimensions of the eld that has the largest area. Answer: the rectangular eld should be 500 f t deep and 1000 f t wide: a right circular cylinder is inscribed in a cone with height 4 and base radius 2. Answer: the height should be the same as the radius, namely 4. 3 : a right circular cylinder is inscribed in a sphere of radius 2. Find the largest possible volume of such a cylinder. 9 3 : use newton"s method to nd approximations x2, x3 of 2 given x1 = 1. 12 : a car is traveling 70 f t/s when the brakes are fully applied, producing a constant deceleration of 14 f t/s2. Find the distance covered before the car comes to a stop.