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Question: Represent the surface whose equation is given as the graph of a two-variable function, f(x, y), and as the level surface of a three-variable function, g(x, y, z) = c. There are many possible answers.
The bottom half of the ellipsoid x2 + y2 + z2/2=1
Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have described.
suppose that the cost function in exercise 45 is C(x) = -2.5x+1, where z is the index-fund fee. (the company has a fixed cost of $1 billion dollars, and the cost decreases as a function of the index-fund fee.) find the value of x that maximizes pr..
A clock company is concerned about errors in assembly of their custom made clocks. A random sample of 120 clocks from today's production yields nine clocks with assembly errors.
Let f(x) = 7x2 + 4x + 3. Find the difference quotient limf(x+h) - f(x)
If weight in the general population is normally distributed with an average of 160 and a standard deviation of 20 pounds, what is the probability of selecting someone who weights 120 or less or 170 or more pounds?
What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
Vanilla Box Company is going to make open-topped boxes out of 17 × 16-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
Let R1 and R2 be two rays with a common vertex with an angle strictly less than pie(3.14). Construct the angle bisector ray B. In the setting of the previous problem, if you were given R1 and B, how would you construct R2?
Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature S1, S2, and S3. Using the maximin criterion, what would be the highest expected payoff
A 16 foot ladder is leaning against a building. if the bottom of the ladder is sliding along the pavement directly away from the building at 2 feet/second, how fast is the top ladder moving down when the foot of the ladder is 2 feet from the wall
Use the information about the Statue of Liberty on page 88 to explain how equations are used to describe heights. Include an equation relating the heights of the Sears Tower, which is 1454 feet tall, the two antenna towers on top of the building, ..
Describe an algorithm to find the longest word in an English sentence (where a sentence is a sequence of symbols, either a letter or a blank).
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