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a solid is generated by revolving about the x-axis the region bounded by the graph of the positive continuous function y=f(x), the x-axis, and the fixed line x=a and the variable line x=b, b>a. Its volume, for all b, is b^2-ab. find f(x)
Compare parallelograms,rectangles, rhombi, squares, and trapezoids as they relate to sides, side length, angles, diagonals, and created triangles.
How many students like at most 2 kinds of these chocolate candies?
Examine the rise in gasoline prices from 1997 to 2006. The price of regular unleaded gasoline in January 1997 was $1.75, and in January 2006, the price of regular unleaded gasoline was $2.57.
Two light bulbs are selected from the sample without replacement. Find the probability that at least one of these light bulbs failed the test. Enter your answer as a number between 0 and 1 accurate to 3 decimal places.
The triangle (15,34, 35; 252) is the smallest acute Heron triangle indecomposable into two Pythagorean triangles. Realize it as a lattice triangle, with one vertex at the origin.
23 cars had only air conditioning, 63 cars had only automatic transmissions, and 28 cars had only power steering. 10 cars had both automatic transmission and power steering. How many cars had air conditioning and automatic transmission but not pow..
A circular swimming pool has a diameter of 20 m, the sides are 3 m high, and the depth of the water is 2.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the densi..
Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary nonzero integer if necessary. If an answer does not exist, enter DNE.)
Population Decline - The population of a midwestern city follows the exponential law.
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
A 100 foot wire is extended from the ground to the top of a 60 foot pole, which is perpendicular to the level ground. To the nearest degree, what is the measure of the angle that the wire makes with the ground.
How many units should the company sell per month in order to break even, assuming that it can sell up to 5,000 units per month at the planned price?
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