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Two rainstorms occurred in one week in a certain area. The first storm lasted 25 hours and the second storm lasted 15 hours for a total 1025 mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 55 mL per hour?
Find the first four terms in each of two linearly independent solutions of the given differential equation (solve by means of a power series about the given point x0 ).
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4
A motel has 20 rooms. If the manager charges $60 per room per night, all the rooms will be rented. For each $5 increase, one less room will be rented.
Use the graph of f(x)=x^2 to match the function to its corresponding graph. In words describe transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
The formula used to find the half-life of a substance is y = nekt, where y is the amount remaining, t is the amount of time in years, and n is the initial amount of the substance. Based on this information, what is the approximate value of k?
a kite is flying horizontally at a constant height of 100 ft above the girl flying the kite. at a certain instant, the angle whichthe string makes with the girl is 30 degrees and decreasing. if the string is paying out at 16 ft/s, how fast is the ..
Janice bought 30 items each priced at 30 cents, 2 dollars or 3 dollars. If her total purchase price was $30.00, how many 30-cent items did she purchase?
Decribe the price elasticity of a product or service that you purchase on a regular basis and decribe at what price point would you decide to not purchase that product or service any more.
Two poles are set a = 10 feet apart, but the point of attachment P for the rope is yet to be determined. If the total walk is to be 65 feet, determine the distance from P to the ground.
Find and simplify the profit function.
Similarly, one additional unit will be occupied for each 9 dollar decrease in rent. What rent should the manager charge to maximize revenue.
let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders.
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