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Find all the points of the parabola y^2=8x such that the perpendicular line segment from P to the directrix and the line segment from P to the Focus are two sides of an equilateral triangle.
Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.
Find the area of the region bounded by the graphs of the given equations.
The standard deviation of a normally distributed population is equal to 10. A sample size of 25 is selected, and its mean is found to be 95.
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
Prestige Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a two-car or a three-car garage. How many choices are there for one home?
A retailer spent $48 to purchase a number of special mugs. Two of them were broken in the store, but by selling each of the remaining mugs for 43 above the original cost per mug, she made a total profit of $22. Construct a quadratic equation that ..
Solve the average cost function.
A farmer has a rectangular pasture with dimensions x by 2x. If he places posts 15 ft. apart, how will he represent the distance between each post on the shorter side? on the longer side?
the area of a rectangle is 120 square inches determine the lenth and width of the rectangle if the length is 2 inches longer than 3 times the width.
Count the nu,ber of times you draw a card in this manner until you observe a jack. Is a binomial distribution a reasonable probability model for the random variable X? State your reason clearly.
Normal curve approximation to the binomial distribution, Assume the distribution is normal. Use the area of the normal curve to answer the question. Round to the nearest whole percent.
From the top of a 165 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse?
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