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A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^10 from x=-1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.
Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1. Use "t" as your variable, t = 0 should correspond to P
Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.
on three consecutive passes, a football team gains 9 yards, loses 16 yards, and gains 30 yards. What number represents the total net yardage?
What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
The personal savings of the Young Saver Club were normally distributed with a mean of $775 and a standard deviation of $88
Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the 14.6-hour-per-week benchmark reported by BusinessWeek.
Probability from stem and leaf plot, The ages of 25 employees in a company are listed below in a stem and leaf plot. What is the probability that a worker chosen at random
Describe the steps necessary to calculate the experimental probabilities of- Drawing two red cards one after the other from the given deck if the cards are returned to the deck after each pick.
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
Write out the probability distribution for of sales during a five-day week. What is the mean and variance of this distribution? Assume that the profit from each sale is $750 for the situation in additional problem. What is the expected weekly profi..
Prove that the statement "There exists a triangle with a sum of angles greater than 180 degrees" is true in spherical geometry.
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