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1. Build an equation for a hyperboloid of two sheets with the following properties:a. The central axis of the hyperboloid is the y-axis
b. The two sheets are 4 units apart, and are mirror images of each other across the xz-plane.c. The hyperboloid intersects the plane y = 3 in a circle of radius 5.(b) Find an equation for a single curve in the xy-plane which, when rotated around the y-axis, would produce the hyperboloid built in (a). (Hint, set z = 0 in the equation from (a).)
For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , f
Divergence Test Once again, do NOT misuse this test. This test only says that a series is definite to diverge if the series terms do not go to zero in the limit. If the
Example Evaluate following limits. Solution Here our first thought is probably to just "plug" infinity into the polynomial & "evaluate" every term to finds out the
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If roots of (x-p)(x-q) = c are a and b what will be the roots of (x-a)(x-b) = -c please explain. Solution) (x-p)(x-q)=c x2-(p+q)x-c=0 hence, a+b=p+q and a.b=pq-c
1. a) Find the shortest paths from r to all other nodes in the digraph G=(V,E) shown below using the Bellman-Ford algorithm (as taught in class). Please show your work, and draw t
an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 30 years hence is 2/3.Find the p
what is the LCM of 4, 6, 18
a box contains 4 white and 6 green balls.Two balls are drawn randomly with replacement.Show the probability on tree dig.
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