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About 35.9% of all charitable contributions are made to religious organizations. In 2003, about $86.4 billion was given to religious organizations. How much was given to charities in general?
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
A searchlight is shaped like a paraboloid of revolution. If the light source is located 5 feet from the base along the axis of symmetry and the opening is 8 feet across, how deep should the searchlight be?
what polynomial represents the total surface area of a rectangular solid with sides being 2x. x, 3x. What polynomial represents the volume?
F ind the probability that the mean of the number of hours they watch television will be greater than 27.3 hours. Give your answer to 2 decimal places.
Use cylindrical coordinates to evaluate the triple integral Ex2+y2dV , where E is the solid bounded by the circular paraboloid z=16-4x2+y2 and the xy -plane.
a chemist needs 160 milliliters of a 33% solution but has only 21% and 53% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
Kernel of phi, Let phi is a homomorphism from Z30 onto a group order 3
The frame around the picture has a uniform width of 2 inches and an area of 96 square inches. What are the dimensions of the picture?
A plane can fly 390 mph in still air. If it can fly 220 miles downwind in the same amount of time it can fly 170 miles upwind, find the velocity of the wind.
Suppose that f and g are continuous functions and (integral sign) from 2 - 0 of f(x) dx = 5 and (integral sign) from 2-0 of g(x) dx = 13. Compute the following.
In a classroom of children (13 boys and 12 girls), five students are chosen to go to the blackboard. What is the probability that no boys are chosen?
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