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A trapezoid with bases 4 m and 6 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it.
Let f(x,y) be an infinitely differentiable function. Suppose that Consider the surface z = f(x,y). Show that K(0,0) = f_xx(0,0) f_yy(0,0) - f_xy(0,0)^2.
We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
Write Boolean expression & draw the gate logic diagram & typical PLC logic ladder diagram for a control system wherein a fan is to run only when all of the following conditions are met:
A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs with your classmates.
Calculate the probability that a student with an A on the midterm examination will obtain a final grade of A?
Find the general solution of the second order differential equation y'' - y' - 6y = e^-3x This one is quite long winded, and I am pretty sure that I am getting yh right but can't seem to get close to yp. I think this is a D.R.A.E?
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
What percent of new expansion should be financed by equity?
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.
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