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Write the equation of the ellipse that stisfies the given conditions. sketch each curve.
1. center at(5,1), vertex at (5,4), end of a minor axis at (3,1)
2. vertex at (6,3), foci at (04,3) and (4,3)
the population of Atlanta, GA was 416.1 thousand in January of 2000. By January 2010, the population had grown to 540.9 thousand.
If the perimeter fence costs $5 per yard and the fence down the middle costs $3 per yard, determine the dimensions of the corral so that the fencing cost will be as small as possible.
The polynomial 0.041h-0.018a-2.69 can be used to estiimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year-old woman who is 160 centimeters tall.
1. Consider the ODE 2. (a) Solve the IVP
Suppose the mean SAT score for a students admitted to a university is 1000, with a standard deviation of 200. Suppose that a student is selected at random. If the scores are normally distributed, find the probability (percentage) that the student's S..
a plane is heading due south with an airspeed of 239 mph. a wind from a direction of 53 degrees is blowing at 10mph. find the bearing of the plane.
Analyzing the graph of the given function using first and second derivative
An ice cream company finds that at a price of $5.00 demand is 6300 units. For every $0.15 decrease in price, demand increases by 135 units. Find the price and quantity sold that maximizes revenue. What is the price and quantity?
Find all maximum and minimum values of the function f(x) = 5(x^3) - 10(x^2)
Calculate the sample regression line, where sales is the dependent variable and selling expenses and price are the independent variable.
what a subjects resting heart rate would be, given the number of hours they exercise per week. We measured the resting heart rate and average number of hours exercised per week for 4 subjects, resulting in the data below:
find the equation of hyperbola from the given data.find the equation of the indicated curve subject to the given
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