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A rectangular enclousure must have an area of at least 700 yards. If 160 yd of fencing is to be used, and the width cannot exceed the length, what limits must the width of the enclosure lie?
Why is it important to understand linear equations in business? In particular can you provide examples where the relationship between items that can be affected by management and 'items' that management wished to achieve or attain may be 'linear'?
Cassandra bout an antique dresser for $500. If the value of her dresser increase 6% annually, what will be the value of Cassandra dresser at the end of 3 years?
Find the equation of the line that passes through the points (3,1) and (2,-1). Write the equation in slope-intercept form.
Let F be a field, let R be a ring with more than one element, and let phi:F->R be a surjective homomorphism.
Find the values of f(x) at which each of the following functions is discontinuous. Why is the function discontinuous at that value?
Martin just finished working on a job in which he spent 7 hours on Monday doing prep-work and 8.5 hours on Wednesday painting. How much money does John owe him?
Analysis the graph of the derivative.
A bit vector is simply an array of bits (0's and 1's). A bit vector of length m takes much less space than an array of m pointers. Describe how to use a bit vector to represent a Dynamic Set of Distinct Elements with no Satellite Data. Dictionary ..
find the normal, transverse, axial, and normal base circular pitches the transverse pressure angle, and the pitch diameters.
The volume of a cylinder (think about the volume of a can) is given by V = pi r2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
The base of an aquarium with volume V = 440 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.
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