Two Posts One 12 Feet High
I need someone to finish these questions Math 116: Assignment 8 due...
I need someone to finish these questions
Math 116: Assignment 8 due Monday, November 10, 2014 at 3:00 pm 1. Two posts, one 12 feet high and one 28 feet high, stand 30 feet apart. A single stake is to be placed in the ground between them, with wires attaching the top of each post to the stake. Find the position of the post which minimizes the required length of wire. 2. A closed rectangular container with a square base is to have a volume of 2000 cubic centimeters. It costs twice as much per square centimeter for the top and bottom as it does for the sides. Find the dimensions of the container of least cost. 3. A 17 m ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground away from the wall at a constant rate of 5 m/s, how fast will the top of the ladder be moving down the wall when it is 8 m above the ground? 4. A 10 m plank is leaning against a wall. If at a certain instant the bottom of the plank is 2 m from the wall, and is being pushed towards the wall at a rate of 0.5 m/s, how fast is the acute angle that the plank makes with the ground increasing? 5. A Ferris wheel with a radius of 10 m is rotating at a rate of one revolution every 2 minutes. How fast is a rider rising when his seat is 16 m above ground level? 6. Use l'Hospital's Rule to find the limit. You may need to do some work before you can use l'Hospital's Rule. (a) lim t → 0 e 3 t - 1 t (b) lim x →∞ x + x 2 1 - 2 x 2 (c) lim x → 0 e x - 1 - x - 1 2 x 2 x 3 (d) lim x → 0 + ± 1 + 1 x ² x
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Two Posts One 12 Feet High
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