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Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.
a) Find the area R
b) Find the volume of the solid generated when R is revolved about the horizontal line y=1.
c) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a rectangle whose height is 5 times the length of its base region R. Find the volume of this solid.
Find the directional derivative of the function at the given point in the direction of the vector v.
U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands).
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per sec, then its height after t seconds is given by the equation h=-16t2+80t+96 where h is in feet. after how many seconds will the object reach a height ..
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
Graphing the given function using the graphing utility - Compare with the exact solution w(t) = 2ln(1 + t) + 3.
In a local election, there are eight candidates for five positions as judges on the Supreme Bench. The number of possible outcomes of the election is:
Example of a Random Procedure with Specified Events. Please list as many different groups of complete events as possible for an experiment of your choice (Probability). Need real world example on complete events
If three parts are selected at random from the bin, what is the probability that exactly two are defective? I am having trouble understanding the correct equation
Write a function for your profits for each price you charge. This is done by multiplying (P-.5) times your function (y= -100x + 250). I.e. if your function is Cups Sold = 1000 - 100P, your profit function would be (P - .5)*(1000 - 100P).
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
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