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The arch y=sin(x) (where 0 is less than or equal to x which is less than or equal to π), is revolved about the horizontal line y = c (where 0 is less than or equal to c which is less than or equal to 1), to generate a solid of revolution. Find the values of c that either minimize or maximize the volume of the solid. Also report the minimum and maximum volumes of the solid.
A particle has position function r(t). If r'(t)=c x r(t), where c is a constant vector, describe the path of the particle.
a forklift to raise a crate of pickles on a platform to a height 2.75 m above the floor. The combined mass of the platform and the crate is 207 kg. If the power expended by the forklift is 1440 W, how long does it take to lift the crate?
A daily number lottery chooses three balls numbered 0 to 9. The probability of winning the lottery is 1/1000. Let x be the number of times you play the lottery before winning the first time. (a) Find the mean, variance, and standard deviation. Int..
question explain each of the following using supply and demand diagrams.a when a cyclone hits queensland the price of
An entrepreneur has the following cost and revenue functions: TC = 30 + 3Q and TR = 4Q. calculate the equilibrium quantity algebraically and graphically at the break-even point.
A student receives test scores of 62, 83, and 91. The student's final exam score is 88 and homework score is 76. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade...
A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end. Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end.
Find the critical points of function cos(15θ) + sin^2(15θ)
In 2007, a bank was offering 4.39% interest on its online Orange Savings Account, with interest reinvested quarterly. Find the associated exponential model for the value of a $4,000 deposit after t years.
When the given net is folded into a cube, what faces are opposite each other? What is the sum of each pair of opposite faces?
Please solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4).
Joe believes that the relation {(2,1),(3,-2),(4,5),(5,-2)} is not a function because two values in the domain have the same range value. What is the student's error?
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