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Find the limit of f(x) = (7x+7)/(4x+4) as x approaching positive infinity and negative infinity.
Consider the initial value problem y' = 2xy, y(1) = 1. Use the Euler's method and improved Euler's method with h = 0.1and h = 0.05 to obtain approximate values
Determine the value of k so that when P(x) = x(cubed) + kx(squared) - 2x(squared) + 1. Is divided by x + 2, the remainder is 5
How do you determine the horizontal asymptotes, given the equation of a rational function?
Prove That n! ? o(nn) by using the definition of the small o- notation.
List the vertices in graph A in the reverse order of their visit (finish) time for a depth-first search that starts at vertex A
Let f be any function from R to R. Define a relation Rf by the rule: x Rf y if and only if f(x) = f(y). Show that Rf is an equivalence relation
A longest-path problem can be transformed into a shortest path problem by changing the sign of all weights
Calculate the Laplacian of function u(x,y,z) = x^3 - 3xy^2 + z^2 in 3D Cartesian coordinates.
Given point P of the function f(x), state the corresponding point P' in the inverse of the function.
Describe the cost C(x), in millions of dollars to inoculate x % of the Canadian population against a particularly virulent strain of flu
The graph below shows the constraints of the objective function:
Write a program or programs to interpolate the data given below at the specified points using Neville iteration, Newton’s interpolatory divided-difference.
Suppose G is a graph and d(G) = n/3. Prove that G has one or two connected components.
The Dub-Dub and Dub Company produces and markets three lines of WEB page designs: A, B, and C; A is a standard WEB page design and B and C are professional
These questions are about the quadratic function which takes the form:
Are the following even, odd or neither? Are the following even, odd or neither?
Sketch the graph of each function. Be sure to label three points on the graph.
Suppose f(x) and g(x) are continuous real-valued functions defined for [0,1]. Define vectors in n, F= ( f(x1), f(x2), ...,f(xn)) and G= g(x1), g(x2), ...,g(xn))
Which functions are one-to-one? Which functions are onto? Describe the inverse function
Let P be the power set of {A, B} and let S be the set of all binary strings of length 2. A function f: P -> S is defined as follows:
Find the equations for the horizontal and vertical asymptotes of the following. Type none if the function does not have an asymptote.
Graph the system of inequalities and solve.
Is y=x^4 a single- or multi-valued function?
Use a calculator (standard scientific calculator or the online graphing calculator) to find each of the following values. Write your answer