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A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the base along the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
George has just signed a 3 year lease on a $45000 car with a residual of 62% at 3.5 APR compounded monthly.
What "postulated proportion" would be associated with that distribution and using beta distribution quantiles, construct a 95% confidence interval for the success proportion of that distribution.
Smalltown Elevator produces elevator rails. To meet specifications, an elevator rail must be between 0.995 inches and 1.005 inches in diameter. Suppose that the diameter of an elevator rail follows a normal random variable with mean of 1 inch
The width of a video game cartridge is 2 in. more than the length. The area is 16in squared. find the dimensions of the cartridge.
The number of new contributors to a public radio station's annual fund drive over the last ten years is. Develop a trend equation for this information, and use it to predict next year's number of new contributors.
Sketch all the nonisomorphic, simple graphs that have 5 vertices and 5 edges.
Prove the the center of gravity of a lamina in the shape of a parallelogram is at the point of intersection of the diagonals and that it is the same point as the center of gravity of four particles two of mass m at one pair of opposite vertices an..
Find the width of a Norman Windown if the total area of the square and semicircle is said to be 200 ft^2.
What are the dimensions of the largest volume package the postal service will accept?
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
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