A cube of side L = 1.40 m rests on a rough floor. It is subjected to a steady horizontal pull, F, exerted a distance h = 0.82 m above the floor as shown in figure below. As F is increased, the block will either begin to slide, or begin to tip over. What must be the coefficient of static...

Calculate the work against gravity required to build a tower of height 75 ft in the shape of a right circular cone with base of radius 15 ft out of brick. Assume that brick has density 48lb/ft^3 .

3/(xln(2x))

3x^4+6x^3-45x^2

A 10m long ladder has one end on the ground, and is supported part way along its length by a fence 3m high, so that part of the ladder projects past the fence. If the end on the ground is 4m from the base of the fence and is being dragged away at 0.2m/sec, how fast is the vertical height of...

A car rental agency rents 190 cars per day at a rate of 29 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income?

LaToya Smith is a buyer for a large manufacturing company. She can purchase 200 pounds of chemicals for $95. She can also purchase mixing vats for $400 each. Sales tax on all products is 6% of the total cost of the order. Shipping costs for her order will be a flat $ 30. this month she...

Least common multiple of 513 and 855

Prove that this set is denumerable. {(x,y) E N and n > 6. E= element of N = Natural Numbers.

Prove that this set has cardinality c. [1,2)U(5,6) Hint: Let f(0,1)-> [1,2) U (5,6) be given by f(x) = { 2 - 2x if 0<x <_ 1/2 { 2x + 4 if 1/2 < x < 1