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Suppose that f(x) = 3x - 7 and g(x) = 2x + 1.
Describe two methods you can use to evaluate f(g(2)). Would the answer be the same as g(f(2))? How could you apply composition of functions in more familiar situations such as Excel use?
Find the area, in square units, of the region determined by the intersections of y = x^1/2 and y = x^2/8.
Given this information, if a sample of 36 independent sales representatives is selected, what is the probability that the mean of the sample will exceed $130,000?
apply Newton's method to f(x)= the tired norm of x using unit step size. show that it is linearly convergent. Why does quadratic convergence not occur?
the function defined by s(t)= 576+144t-16t2 describes the heigh, in feet, of a rock t seconds after it has been thrown upward at 144 feet per second from the top of a 50-story building.
Which set of vertices represents a square?
With A and B as in Exercise 41, select a column v of A that was not used in the construction of B and determine if v is in the set spanned by the columns of B. (Describe your calculations.)
construct the universal address system for the given ordered rooted tree. Then use this to order its vertices using the lexicographic order of their labels.
Consider the following relation R on the set of positive integers: R = {(x,y)|x and y have the same prime divisors}
Regardless of the choice of parameter u. Determine the range of u values for which this fixed point is stable.
Hermit crabs fight for ownership of shells. Fights are initiated when one crab raps on the shell of another with its big claw. An exchange of shells occurs approximately 50% of the time. Investigators wish to see if the rapping force helps decide..
Explain why the system has a unique solution.
The distance around a tennis court is 378 feet. If the length of the court is 3 feet more than twice the width, find the dimensions of the tennis court.
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