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A teacher has determined that the amount of time a student spends working on homework during seminar is a normal random variable with a mean of 38 minutes and standard deviation of 5 minutes. What proportion of students work on homework less than 29 minutes during seminar?
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
A plate is bounded by the curves y = -x^2, y = x^2, and x = 1. It has density d(x,y)=x. Make a sketch and find its center of mass.
A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
A rectangular field with a perimeter of 32 feet must have an area of at least 60 square feet (or possibly more). What are the possible values for the length of one side so that both conditions are met? Express your answer in interval notation.
The cost, in millions of dollars, to remove x % of pollution in a lake modeled by
Increasing sample size will generally eliminate bias in a sample.
a bridge is built in the shape of a semielliptical arch. it has a span of 104. the height of the arch 25 feet from the center is 12 feet. find the height of the arch at its center.
What describes the vertical and the horizontal asymptotes for f(x) = 3(x-1) / (x-4)(x=1) and what are they vertical? horizontal?
list all possible ways of using a square as a polygonal disk with gluing scheme(dont list the same square rotated and /or flipped) (include squares where not all edges are identified). State the name of the resulting object in each case.
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.
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
application of differential calculus maximization and minimization.you run a small furniture business. you sign a deal
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