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For the function f(x)=(3x)/(x+2)
a. Find the average rate of change from x=2 to x=5
b. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
c. Use part b to find the rate of change of f(x) at x=2
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
Use linear approximation, the tangent line approximation, to approximate the following: Note: the correct answer are different from the calculator computed values
What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters
What hypothesis testing model (my "models" handout) would be used under each of the following conditions. Use the "model number" from my handout if you wish. By line the information given in each cell is: Level of measurement, number of groups, sam..
The probability P, If the random variable z is the standard normal score, is it true that P(-1
Find the probability that the coin turns up heads once and tails once?
With a yearly rate of 3 percent, prices are described as P = P0 (1.03)t, where P0 is the price in dollars when t = 0 and t is time in years. If P0 is 1.2, how fast are prices rising when t = 15?
You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
George has decided that a distribution of data is cubic, that is it has the general form of a function "f(x)=x^3" if the point on the curve that should be at (0,0) is found at (-3,7) and the point.
Hypothesis test for population mean
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