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Question: Consider the extraction of oil from a well. Let x(t) be the rate of extraction in barrels per day and p(t) the price in dollars per barrel at time t. Then R(t) = p(t)x(t) is the revenue in dollars per day. Find an expression for R(t), and give it an economic interpretation in the case when p(t) and x(t) are both increasing. (Hint: R(t) increases for two reasons)
There is a test available to screen for cancer. Applied to people who do not have cancer, a test in one clinic has about a 0.6% false-positive rate; that is, the rate of falsely indicating that cancer is present.
How much time do you have to assemble each mousetrap?
a man purchased some shares of stock for 1560. later, when the price had gone up 24 per share, he sold all but ten of them for 1520. how many shares had he bought?
Read the documentation for your matrix program, and write the commands that will produce the following matrices (without keying in each entry of the matrix).
Find the y-intercept and x-intercept for the equation: 4x + 3y = 48, The value, v, of a shopkeeper's inventory software program is given by v = -1/2t + 4, where t is the number of years since the shopkeeper bought the program
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
2.1.The DPMO for a process is 860. What is the approximate six sigma level of the process? a. 4.2 b. 4.4 c. 4.6 d. 4.8
question 1. suppose a company has fixed costs of 57600 and variable costs ofnbsp 13 x 333 dollars per unit where x is
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
Let n >= 2 be a number. Define the graph L2(n) as follows: Vertices are ordered pairs from the set {1, ..., n}. Two vertices are adjacent if they have the same first coordinate, or the same second coordinate (but not both).
You are given the graph of a function f. Determine the intervals where f is increasing, constant, or decreasing.
Two perpendicular forces act on a ring at the end of a chain that passes over a pulley and holds a crate. What is the weight of the crate if the horizontal force pulls at 47 pounds and the vertical force pulls at 40lb?
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