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Consider the function f(x,y) = x^2/2y - x + 3y
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
The Springfield Kings (a professional basketball team), has won 12 of its last 20 games and is expected to continue winning at the same percentage rate
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality?
Taylor expansion to find the dominant behavior of velocity - evaluate the dominant behavior of v(t), and also the first correlation to that dominant behavior.
Objective questions on regression
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
Let R be a principal ideal domain and a, b, in R, not both zero. Prove that a, b have a greatest common divisor that can be written as linear combination of a and b.
Evaluate the maximum revenue using cost and revenue function.
Solve the given equation and Solve the equation by factoring - Solve the equation using the method of your choice
An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the object moves to the left to x = - 3
Construct a formal proof which shows that the sentence below is a theorem of predicate logic. *the E's are existential quantifiers (usually designated by backwards E's). the & are "and". Do not use quantifier negation rules.
Explaining how to derive the formula for the distance between two points -Prepare an essay of 1,000 words explaining how to derive the formula for the distance between two points in analytic geometry 3-space.
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
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