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Let F(:r,y) = mi + 2yj + 32k. Calculate the ?ux integral of F across S, where S is the cube with vertices (:l:1, :l:1, :l:1), oriented outward. Do this computation directly, without using the Divergence Theorem (though you are free to use it to check your work).
On Friday, a local hamburger shop sold a combined total 444 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
The number of passenger cars taking a specific exit off the Pennsylvania Turnpike on Thanksgiving weekend averages 5 per minute. Of those 50% have only the driver; 30% have 2 people in the car;
Using the shell method to find the volume of a solid revolving about line x = 2 by the region bounded by y=x^3 +x +1, y=1 and x=1.
The mean PCB concentration for fish the lake exceeds 5 ppb
DESIGNING A NORMAN WINDOW A Norman window has the shape of a rectangle surmounted by a semicircle (see the accompanying figure). If a Norman window is to have a perimeter of 28 ft, what should its dimensions be in order to allow the maximum amount..
for what initial velocity will one of her free throws go exactly 10 feet? explain? B. what happens to ball for an initial velocity greater than the one in part a? explain?
Find the gcd of 102 and 222 convert 87 to octal and hexadecimal
Find your two rational expressions in the list below based on the first letter of your first name and explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.
For the equations below, z(t) is the unknown function. Determine whether these equations are (i) linear or nonlinear, (ii) first, second or third order, (iii) homogeneous or nonhomogeneous, (iv) ODEs or PDEs:
A teacher allows the students to each "throw out" their lowest test score in order to increase their overall grade. The original mean score of 5 tests is 72.8. After the removal of the lowest test, the mean score becomes 78.5. What is the score of..
In calculus and other branches of analysis, the notation (a, 8) represents the set {x Î R | a }. Consider all sets of the form (a, 8) where a Î R. What is the intersection of all of these sets?
Each tire on an automobile has a radius of 1.25 feet. How many revolutions per minute does a tire make when the automobile is traveling at a speed of 88 feet per second?
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