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Let F be a vector field on R^3. Suppose that F has divergence
∇·F=x^2 +y^2 +z^2.
Let S1 be the unit sphere (x^2 + y^2 + z^2 = 4), oriented outward, and let S2 be the sphere of radius 9 centered at the origin, also oriented outward. Suppose that the flux of F through S1 is 3018. Calculate the flux of F through S2.
If A and B are 3 × 3 matrices with det(A) = 4 and det(B) = 1. What is the determinant of C = 2AT A-1BA
This activity will provide you with an opportunity to engage in discussion on a project management topic that was covered in this module. The class interaction will foster a learning environment in which you will learn from each other's experience..
SAVINGS ACCOUNTS If Jackson deposits $100 at the end of each month in a savings account earning interest at the rate of 8%/year compounded monthly.
A bird such as a starling feeds worms to its young. To collect worms, the bird flies to a site where worms are to be found, picks up several in its beak.
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
1. What are the marketing and ethical issues associated with these sites? 2. As this consumer group ages will these issues become more or less important?
Prove that f must have at least one zero in the interval (a, b) by showing that f(a) and f(b) have opposite signs.
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type
use the fx lim h-0 fx h - fxh to find fx. b- find the domain of f. c find and equation of the tangent line to the
Find the x-coordinates of all points where the curve might have a horizontal tangent line. Find the y-coordinates of all of the points where the curve might have a vertical tangent line.
A two-runway (one runway for landing, one runway for taking off) airport is being designed for propeller-driven aircraft.
Take the second car to overtake the first?
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