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F(x,y,z)=<2ycosz,e^xsinz,xe^y> S is the hemisphere x^2 + y^2 + z^2=9, z is greater than or equal to 0, oriented upward. Use Stoke theorem to evaluate double integral curl F *dS
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Use rules of differentiation.
Two point charges q1 and q2 separated by a distance of 3m experience a mutual force of 16x10^-15N. Calculate the magnitude of charge when q1=q2=q. What will be magnitude of force if separation between the charges is changed to 6m?
Give a matrix that describes the game and argue that a population consisting solely of LIONS isn't stable, nor is one consisting solely of LAMBS.
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
A set A is call a partially-ordered set if there is a relation R on A such that R is reflexive and transitive. If A is any set, prove that the power set P(A) is a partially ordered set under the relation "is a subset of".
Suppose there are 90 small towns in a country. From each town there is a direct bus route to at least 50 towns. Is it possible to go from one town to any other town by bus possibly changing from one bus and then taking another bus to another town?
Find the gradient of f(x,y) at (3,2). Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v =
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
How much money can it spend if an acceptable variance is 5% of its budgeted amount? (even though the correct answer would contain less than/equal to, use the less than sign--the system will not accept the less than, equal to sign).
Simplify the group as a finitely generated abelian group.
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
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