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Using spherical coordinates, find the volume of the solid E that lies above the cone z=sqrt(x^2+y^2) and below the sphere x^2+y^2+z^2=1
a. Draw the solid E and describe the solid by using spherical coordinates.
b. Write the integral in spherical coordinates whose value is the volume of E.
c. Evaluate the integral.
what is the total area of a right rectangular prism with a height of 8 feet a width of 10 feet and a thickness of 12
The resulting value, Corey reasons, will yield the maximum point. Explain fully why Corey's method is flawed.
Make a new variable called COFFDIFF by computing the difference in the number of coffee drinks per week for each twin pair.
To determine the distance between two aircraft, a tracking station continuously determines the distance to each aircraft and the angle between them (see figure). Determine the distance a between the planes when A = 20°,b = 40 miles and c = 18 mile..
However, all the elements were accounted for. So the Pythagoreans associated the dodecahedron to what we might call the ther, a mysterious non-earthly substance. Question Look at the regular convex polyhedra above. What does the word regular mean ..
use Euler's Method with h=0.01 to approximate y(0.12)for the initial value problem dy/dx = e^-xy, y(0)=1
You pay $6 to play a game where you will roll a die, with a payoff as follows: $8 for a 6, $7 for a 5, and $4 for any other result. What are your expected winnings? Is the game fair?
the area of a rectangle is 120 square inches determine the lenth and width of the rectangle if the length is 2 inches longer than 3 times the width.
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
Find the value of the constant k, [2] (ii) solve the equation f(x) = 0.
Last season a major league baseball player got 120 hits in 240 times at bat. If the player expects to bat 500 times in the entire season with the same ratio of hits to at bats, how many hits can the player expect to have?
Kaye and Lyn are twins, and the sum of their ages is equal to three times Dave's age, which is half as old as Keith. The average age of the four children are 6.
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