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A large square carpet is initially x inches long and x inches wide. Randy decides to trim 2 inches off each edge of the carpet because the edges are worn. Later he goes back and trims 6 more inches off each edge.
Express the final area (A) of the carpet in square inches (after both trim jobs) as a polynomial function of x.
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
A group of nine students has a mean of 3.5 people per . Make a line plot showing a data set that fits this household.
Using graphing to check your answers is helpful. When you factor a trinomial into two binomials, each binomial represents a linear relationship. If you plot the two binomials (which are just lines) on a graph
a forklift to raise a crate of pickles on a platform to a height 2.75 m above the floor. The combined mass of the platform and the crate is 207 kg. If the power expended by the forklift is 1440 W, how long does it take to lift the crate?
Find the first four zeros of the function f(z)=1+z^2+e^z ordered according to increasing complex absolute values. How do you know these are the first four zeros and that you have not missed some?
suppose a motorboat is moving at 40ft/s when its motor suddenly quits and that 10s later the boat has slowed to 20ft/s. assume that the resistance it encounters while coasting is proportional to the square of the velocity (v'=-k(v^2)) how far does..
7 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far must you drive in a day in order for the cost to be the same at both firms?
A municipal bond pays 8.3% interest compounded semiannually on its face value of $2,000. The interest is paid at the end of every half-year period. Fifteen years from now the face value of $2,000 will be returned.
Application of differential calculus: Maximization and Minimization - what are the largest and smallest revenues your company your company can make under this deal?
Which of the following is likely to have the shortest set up delay?
the area of each base id 64 square inches. Find the lenth of the lateral edge of the prism
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