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Let H(x) = 162(1-x) [1-4x(1 x)] = 1 where [0,1]
let g(x) = (x - (1-1/4) )
Find explicitly f(x) = H(x) / g(x), as it would be a quadratic equation.
Then solve for the roots of f(x) for in terms of for which it would have real roots
Calculating Production and Material Consumption Rates, The Ottawa Coat company manufactures winter coats and spring jackets. The winter coat requires 4m of material while the spring jacket requires just 1m
Finding the probability repeats in finite sequences. What is the probability that out of 3 people, 2 were born in the same month.
Find the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication
A 6 foot tall man is standing near a tree on level ground. If the man's shadow is 4 feet long, how many feet tall is the tree?
The manager of a supermarket found that 72% of the shoppers who taste a free sample of a food item will buy the item. What is the expected number of shoppers that will buy the item if a random sample of 50 shoppers taste a free sample?
Use a triple integral and an appropriate change of coordinates to calculate the volume of the region bounded by the xy -plane, the surface z = x^2 + y^2 and the cylinder over x^2/9 + y^2/4 = 1 .
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
The base of an aquarium with volume V = 330 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The perimeter of a rectangular backyard is 6x + 6yds. If the width is x yds, find a horizontal that represents the length.
A poster is to have an area of 160 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
88 feet of fencing to enclose a rectangular plot if you do not fence the side along the river. find the length that will maximize the area.
Please provide solutions for the following with complete work. Thank you. Complete each ordered pair so that it satisfies the given equation.
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