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A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Let z denote the length of the side of the square being cut out. Let x denote the length of the base. Let y denote the width of the base. Write an expression for the volume V.
What is the probability that among the 12 months of the year there are 3 non necessarily consecutive months containing exactly 4 birthdays?
Find a 98% confidence interval for the true proportion of patients who experienced cotton mouth. Show your calculations and/or explain the process used to obtain the interval.
Linear programming problem consisting of only two constraints with one objective function.
At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 105 minutes, her sample has decayed to 46.5 grams. What is the half-life of the goo in minutes?
Air is pumped into a spherical balloon, so the balloon expands. The volume of a sphere of radius R is . If the radius of the sphere after t seconds is 2t centimeters, at what rate is air being pumped in when t=5?
A 4 ft high and 7 ft width rectangular plate is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.
semicircles are placed on the sides of an equilateral triangle with sides 10.1 feet. find the shaded area. with this problem the whole thing is shaded.
Suppose the spot and three-month forward rates for the yen are ¥79.85 and ¥79.16, respectively. What would you estimate is the difference between the annual inflation rates of the United States and Japan? (Negative amount should be indicated by a ..
Describe how a domestic fast food chain with plans for expanding into China would be able to use a forecasting model.
In a large study of 1000 entries, 40 errors were found. Does the data support the null hypothesis based upon this experience?
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter.
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