Satisfying the functional equation
Find all functions f:R->R satisfying the functional equation f((x-y)^2)=f(x)^2-2xf(y)+y^2.
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Guggenheim, Inc. provides a 7% coupon bond with the annual payments. The yield to maturity is 5.85% and maturity date is 9 years. Determine the market price of a $1,000 face value bond?
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Use Divergence Theorem to find the outward flux of the vector field F= xi + yj +zk, where E is the solid region bounded by the sphere (x^2) + (y^2) + (z^2) = 4 and the cone z = sqrt((x^2) + (y^2)).
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