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Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground.
Find the following antiderivatives for each integral
Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4
Marsha bought a boat at a clearance sale from Big Ed's Boats. She bought it for $12,000, which was 35% off of the original price. How much did it cost before Big Ed marked it down?
four emergency radios are available for rescue workers but one does not work properly. two randomly selected radios are taken on a rescue mission. let X be the number that work properly between the two.
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
consider a linear transformation T on R3 which reflects each vector about the line spanned by [1 2 3 ]. Find a basis B such that B-matrix of T is diagonal.
It is estimated that y , the number of items of a particular commodity (in millions)sold in the united States in year x represents the number of years since 1990 , is given the formula y=1.38x+3.49.
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
Develop a point estimate of the mean value of y when x1 = 180 and x2 = 310 (to 3 decimals).
the length and width of the base of a rectangular prism are 5.5cm & 3 cm .. the height of the prism is 6.75cm. find the exact value of the surface of the area of the prism in square centimeters.
Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
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