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Given the function R(x) = X^2 + x -12 / X^2 - 4
A company manufacturing surfboards has fixed costs of $300 per day and total costs of $5,100 per day at a daily output of 20 boards.
If the variables in an equation were reversed, what would happen to the graph of the equation?
Show that x = tan^-1(x) has a solution alpha. Find an interval [a,b] containing alpha such ythat for every x E [a,b] the iteration xn+1 = 1 + tan^-1(xn) n>=0
Office equipment was purchased for $20,000 and is assumed to have a scrap value of $2,000 after 10 years. If its value is depreciated linearly
Solve each system by graphing: Solve each system by graphing:
For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3.
Fit a polynomial Function f(x) to the graph. The scale on the x-axis is 1 and the scale on the y-axis is 5
Let a function f (z) be a analytic in a domain D. Prove that f (z) must be constant throughout D if
Determine f for each function using the switch and solve strategy. Check
Assuming A,B not equal to no solution, define m1:AxB->A and m2:AxB-> as follows: m1(x,y)=x and m2(x,y)=y.
For the given directed graph, find the following:
Finding the vertical asymptotes g(x)=x+3/x(x-3)
Solve the following linear program using the graphical solution procedure:
The total profit, p(x) in dollars for a company to manufacture and sell x items per week is given by the function p(x)=-x^2+50x
Suppose that f and g are injective. Show that g o f is injective.
Simplification of linear algebraic expressions and expressions with fractional coefficients and solve x;
A new fashion in clothes is introduced. It spreads slowly through the population at first but then speeds up as more people become aware of it.
Recall that R^3={(x,y,z):x,y,z(subset of R)}. Let G(V,E) be a directed graph, in which V= {(x,y,z)-(subset of R^3) :x,y,z(subset of R),-10<=x,y,z<=10}.
Simplify the block diagram diagrams shown in Fig. below and obtain the transfer function C(s)/ R(s).
For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time.
Prove, from the definition of function (using ordered pairs), that composition of functions is associative. (i.e. prove that f * (g*h) = (f* g) *h)
Let f : R --> R be an additive function i.e. f(x+y) = f(x) + f(y) for all x,y in R.
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory.
Let G = (V, E) be a connected and undirected graph, and u is a chosen vertex in V.