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Can in shape of the right circular cylinder is needed to have the volume of 500 cubic centimers. For what value of r is cost C minimum? If you can set up equation.
The can in shape of the right circular cylinder is needed to have the volume of 500 cubic centimers. State total cost C of material as the function of radius r of cylinder.
Due to corrosion, surface area of cable decreases at rate of 740 in2 per year. State diameter d of cable as the function of time t (in years).
Pressure at sea level is 1013 millibars and that pressure decrease by 14% for every kilometer above sea level. Determine atmospheric pressure at 50 km?
Give equation of locus of points such that difference in distances from (1.6) and (1.-6) is 10. Find curves and determine the point(s) of intersection.
Determine point of intersection between the equations y = 3x + 4,2x + 3y = 10 5x + 5y = 0, y- 7 = 3(x + 4) 1/2y + 2x - 3 = 0, 1/5y - 4 = 2/3(x - 6) 2y + 3x = 5 - 2x, y - 2/2x + 3 = 4.
The circular plate is being heated so that radius is increasing at the rate of 0.09in/h. How fast is area increasing when the radius is = 15 inches?
Then it flies 612 miles from City B to City C with the bearing of 41degrees. Compute straight line distance from City C to City A.
Write N as the exponential function of t. Compute the growth factor. How many asthma sufferers are predicted worldwide in year 2010 with linear model? With exponential model?
The population has size 5000 at time t=0, with t in years. If population reduces by 100 people per year, determine the formula for population, P, at time t.
Assume y the number of cases of the disease, is decreased by 12% each year. How long does it take to decrease number of cases to 1000?
Market survey points out that for every dollar ticket price is lowered, attendance increases by 3000. Determine price which maximizes revenue from ticket sales.
As the wind, its groundspeed and direction are, respectively, 325 kilometers per hour and 137 degrees. Determine direction and speed of wind.
The large department store is prepared to purchase 3,950 of your neon-colored shower curtains per month for $5 each, but will purchase only 3,700 shower curtains per month.
Determine associated cost, revenue, and profit functions. How many jerserys should company sell to break even? Compute profit or loss results from sale of 3,000 jerseys?
The kettle full of water is brought to the boil in the room with temperature 20°C. After fifteen minutes temperature of water has decreased from 100° to 75°C. Determine temperature afte
Write the example of the polynomial f(x) which is of degree 7, has accurately two real zeroes one of which is of multiplicity 2and one of which is of multiplicity 3. leave f(x) in factored form.
Compare velocity of the raindrop to this velocity. Describe why the raindrop, which has the far greater velocity than bullet, does not harm us.
After three days sample of radon-222 has decayed to 58% of its original amount. How long will it take sample to decay to 30% of its original amount?
The town had the population of 60,000 in 2000 and 70,000 in 2010. Determine the exponential function which will forecast the populations as the function of number of years since 2000.
Solve given quadratic equation exactly using quadratic formula. Write solutions in simplest form. Using the calculator, find all irrational solutions to nearest thousandth.
The rectangular field is to be subdivided in ten equal fields. There is 5050 feet of fencing available. Determine dimensions of field which maximizes total area.
Population of the certain species of fish has the relative growth rate of 1.6% per year. It is evaluated that population in 2000 was 11 million. Evaluate fish population in year 2005.
Half-life of radium-226 is 1600 years. Assume we have 27-mg sample. After how long will only 19 mg of sample remain?