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A box with a square base and open top must have a volume of 4000 cm3. Find the dimensions of the box that minimize the amount of material used.
Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².
Calculate effect size.
Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Fahrenheit) for a town or city of your choice.
Define a new metric d on X = (0, 1/2)^2 by d((a,b), (r,s)) = 1 if a is not equal to r Or |b - s| if a = r.
Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
Determine convergent or divergence. SUM from n=0 to infinity for
The length of a rectangle is 5m more than twice its width, and the area of the rectangle is 42m^2 . Find the dimensions of the rectangle.
Determine the normalized eigenfunction for this problem; Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
Probability Based on Order and Random Selection, Four couples, each consisting of one man and one woman, are seated at a circular table. Assuming that each different order is equally likely,
what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x
An airplane flying at an altitude of 30,000 feet passes directly over a fixed object on the ground. One minute later, the angle of depression of the object is 43°. Approximate the speed of the airplane to the nearest mile per hour.
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