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Evaluate the integral:
SSS x dV
E
Where E is the tetrahedron enclosed by the coordinate planes x=0, y=0, z=0 and the plane 2x + y + z = 4.
S-denotes integral symbol
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
What is the probability that two cards drawn from a deck are both aces?. Two cards are drawn at random from an ordinary deck of playing cards. The first is not replaced before the second is drawn. What is the probability that:
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Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
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If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
Find the score that marks the top 5 percent
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Determine the intervals on which 'f ' is concave up and the intervals on which 'f ' is concave down. Find the values of all local minima and local maxima of 'f '. Explain why each value you find is a minimum or a maximum.
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
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