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How are direct and inverse variation used in everyday life? Provide examples for each.
What is a rational expression? What steps do you use to solve rational equations? Give an example and explain.
the perimeter of a rectangular garden is 114 meters. The length is 6 meters longer than twice the width. find the demensions of the garden.
A plane flies in an upward, clockwise, circular spiral at a constant speed; the radius of the spiral is 10 miles. Write an vector equation describing the position of the plane over time.
a group of investors wants to develop a chain of fast-food restaurants. in determining potential costs for each
Find the LCM of each set of polynomials
Graph the function f(x)=8, there is two points on the x-axis at -1, 4.
Suppose a corporation wants a large picture to hang in its lobby in a space that is 90 ft.². What should be the dimensions of this picture if it is in the shape of a Golden Rectangle?
Perform the operation and make the result in standard form
Find the cartesian coordinates of the given point? Fnd the polar coordinates, 0 r0, of the point given in cartesian coordiantes.
An electronic store recieves a shipment of 40 calculators, including 6 that are defective. Four of the Calculators are selected to be sent to local high school, how many selections can be made using the original shipment?
A small business buys a computer for $3700. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time.
Use Lagrange multipliers to find the given extremum. In each case assume that x and y are positive.
Find the rate at which the distance between the planes changes when the southbound plane is 33 km away from the airport and the westbound plane is 17 km from the airport.
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