Thursday

April 24, 2014

April 24, 2014

Total # Posts: 11

**math**

At points on the curve y=2sqr(x), line segments of length h=y are drawn perpendicular to the xy-plane. Find the area of the surface formed by these perpendicular from (0.0) to (3.2sqr3).

**math**

San falls from a conveyor belt at the rate of 10 m^3/min onto the top of a conical pile. The height of the pile is always three-eighths of the base diameter. How fast are (a) height and (b) radius changing when the pile is 4 m height? Answer in cm/min.

**math**

You are asked to design a piping system that will connect a drilling rig 12 miles offshore to refinery on shore 20 miles down the coast. What values of x and y will give the least expensive connection if underwater pipe (x-section) costs $50.000 per mile and land-based pipe (y...

**math**

Donald wants to build an aquarium with internal volume of 1 m^3 that made of flat glass sheet. The bottom and side walls of the aquarium have to be made of 7 and 5 mm-thick glass sheet, respectively. Current price of 5 mm and 7 mm galss sheet are $3.5 and $5.6 per m^2, respect...

**math**

A right circular conical tank, point down, with top radius of R and height H is fully filled with a liquid whose weight-density, d, depends on its depth from its surface as d(z) = az + b, where a and b are constant. What is the weight of the liquid in the tank.

**math**

The interior of a typical mesung cup is a right circular cylinder of radius 6 cm. The volume of water we put in the cup is therefore a function of the level h to which the cup is filled. How closely do we have to measure h to measure out one liter of water with an error of no ...

**math**

A plate in the first quadrant, bounded by the curves y=e^x, y=1, and x=4, is submerged vertically in water its upper corner on the surface. The surface of the water is given by the line y=e^4. Find the total force on one side of the plate if the weight of water is 62.5 lb/ft^3...

**math**

A silo is to be made in the form of a cylinder surmounted by a hemisphere. The cost of construction per square foot of surface area is twice as great for the hemisphere as for the cylinder. Determine the dimensions to be use (in terms of V) if the volume is fixed at V and its ...

**math**

Your iron works has been contracted to design and build a 500-ft3 square-based, open-top, rectangular steel holding tank for a paper company. The tank is to be made by welding half-inch-thick stainless steel plates together along their edges. As the production engineer, your j...

**math**

a spherical fishtank has radius of 25 cm. The tank is filled with water with a depth of 20 cm. By using integral find the volume of the water inside the tank.

**math**

Your company can make x-hundred grade A tires and y-hundred grade B tires a day, where 0≤x≤4 and y= (40-10x)/(5-x). The profit on each grade A tire is twice the profit on each grade B tire. Assuming all tires sell, what are the most profitable numbers of tire to make?

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