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The curves r1 = < 3t, t2, t3 > and r2 = < sin(t), sin(2t), 2t > intersect at the origin. Find their angle of intersection, θ correct to the nearest degree.
Water flows in a 400mm diameter drain to a depth of 150mm. Calculate the wetted perimeter of the drain and the cross sectional area of the water
Describe the appropriate sampling distribution model - shape,center and spread - with attention to assumptions and conditions. Make a sketch using the 68-95-99.7 Rule.
in the liquid limit test, the moisture content corresponds to 20, 25, & 35. and the blows are 35%, 2% & 15%. what is the liquid limit if the soil?
A bucket that weights 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rat..
the perimeter of a playing field for a certain sport is 188 ft. the length is 46 ft longer than the width. find the dimensions.
What step should one take to avoid lengthy computations of binomial probabilities? When is this option not available?
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
Graph of the function - sketch a graph of the function.
If the water level is rising at a rate of 20.000 centimeters per minute when the height of the water is 2.500 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
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