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Llinear equations r(n) means "r subscript n" The function y=e^(rx) has two values, r(1) and r(2) that satisfy the equation
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines
A university bookstore recently sold a wirebound graph-paper notebook for $2.50, and a college-ruled notebook for $2.30.
Let f(x) = x^2-2x+2 on the interval [-1, 2]. Sketch a graph of this function along with the rectangles that would be used to approximate the area
The following graph shows the depreciation for the corporate airplane from 2006 to 2009. The plane was purchased new in 2006;
Evaluate the function f(x) = 4x + 6 for x=4.
Justify the formula d(2x) = 1/2d(x) by limits and by duality;
How many functions exist from X to Y How many functions exist from X to Y
The population of a city is 50,000 in 2008 and is growing at a continuous yearly rate of 4.5%. Give the population of the city as a function of the number
Prove that if f is continuous at all values of x then so is kf where k is a constant.
Graph the equation by plotting points Graph the equation by plotting points
Given the exponential function; y=100(1.5)^x, determine by the numerical method the average rate of change by calculating the slope at several arbitrarily
Consider the following function f: R R defined by f(x) = x3 - 8 .
Describe each of the following as an indexed family of sets. Here, pi denotes the coordinated xy-plane.
Let A = {a, b, c, d} and the set B = { 1, 2, 3}
There exist a connected n-vertex simple graph with n+1 edges that contains exactly two cycles.
Find out the number of items sold, in each case, to achieve the annual profit value of 4000.
The relation {(5,0),(1,9),(2,4)} is not a function when ordered pair is added to the set.
Find the equation of the line through (3,5) and (8,15). Write answer in standard form using only integers.
You are given two points representing the number of items sold at a particular price. From these two points, a linear demand function is constructed
Staring with a 100-foot-long stone wall, a farmer would like to construct a rectangular enclosure by adding 400 feet of fencing
Is there a relationship between the sign (positive or negative) of the slope of a line and the angle the line makes with the x-axis?
Let f: X--> Y and g: Y-->Z be functions. Show that if g o f is injective, then f must be injective. Is it true that g must also be injective?
Give the focus, directrix, and axis for each parabola:
A firm estimates its cubic production function of the following form: Q = AL3 + BL2 and obtains the following results: