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The parcel delivery service has contracted you to build the closed box with the square base which has the volume of 8500 cubic inches.
At t = 0, cars are 2 miles south and 5 miles east of intersection. State distance d between cars as the function of time t?
The average cost per hour in dollars of producing x riding lawn mowers is provided by following c(x)= 0.4x^2+17x-291+2200/x. Find number of riding lawn to produce to minimize average cost?
Use this f(d) to determine how many earth years it takes for Mercury to revolve once around sun if average distance from sun is 58,000,000 km.
Find dimensions of rectangle? Determine maximum area if they use house as one of sides? Find dimensions of rectangle?
If the parabola and ellipse both had the focus at (3,0), and vertex of parabola and one end point of major axis of ellipse are both at (5,0).
The volume of the conical pile of sand is increasing at the rate of 9p ft3 / min, and height of pile always equals radius r of base. State r as the function of time t (in minutes), suppose that r =
For given graph of y = 1/2x and rotate it 45 degrees about origin, determine equation of image, domain, range and equations of asymptotes.
The rancher has 1200 feet of fencing to enclose 2 adjacent rectangular corrals of equal lengths and widths. State the area, A, of two rectangles as the function of width, x.
In 2010 one homeowner's quarterly bill ranged fom the high of $122.54 to the low of $68.50. Over what range water usage differed?
Linear function G(t) provides total number of exams graded on the given day where t is hours after 8 a.m. On this given day G(3)=40 and G(6)=106. Determine function G(t) and then interpret G^-1(62)
Evalaute age of the bone, in years, correct to nearest hundred years, excavated from archaeological site if 5% of original amount of Carbon 14 is left in bone.
If 100 live bacteria make it into bloodstream through the cut, how many hours, correct to nearest whole hour, does it take before bacterial population reaches the lethal level?
On space probe 201, power output of P watts after t days of use is provided by P(t) = 75e^-0.0013t. Probe will shut down when wattage goes below 35 watts. How many days after launch will probe shut do
During the 1980's, population of Mexico increased at the annual rate of 2.6%. If population in 1987 was 80.64 million people. Determine population in 1992 assuming same rate of increase.
What ticket price results in greatest revenue? At this price find maximum revenue? Complete square to determine maximum revenue.
Find largest possible area which can be enclosed by 300 metres of fencing? Complete square to determine maximum area. Illustrate all work.
If the package weighs 216 lb at surface of earth (4000 miles from center), determine its weight, correct to nearest whole pound, at the distance of 6000 miles above surface?
The ball is dropped from the height of 16 feet. Every time it drops h feet, it rebounds 0.81h feet. Determine total vertical distance traveled by ball.
Provided function y= 3cos(-2piX/3 + pi/6). Graph two periods of function. Determine coordinates of x-intercepts and maximum and minimum points.
Graph two periods of function below. Determine coordinates of x-intercepts and maximum and minimum points. When graphing, start by sketching curve, and then place y-axis in suitable place.
Determine logistic function f with given properties f(0) = 11, f has limiting value 220, and for small values of x , f is roughly exponential and doubles with each increase of 1 in x.
The second sails at the 34mph in the direction 220. Suppsoe that both boats maintain speed and heading, after four hours, how far apart are boats?
Determine distance between plane and airport? Compute distance between the point on ground directly below plane and airport?
Determine the distance that earth travels in one day in its path around sun. Suppose that a year has 365 days and that path of earth around sun is circle of radius 93 million miles.