Mathematics
Calculus
Define g, h: {x€R2} |x| ≤ 1} →R by g(x,y) = (x,y, &

Define g, h: {x€R2} |x| ≤ 1} →R by g(x,y) = (x,y, &

Define g, h: {x€R2} |x| ≤ 1} →R by
g(x,y) = (x,y, √1-x2-y2),
h(x,y) = (x,y, - √1-x2-y2),

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How many integer solutions are there to the equation
x1 + x2 + 2x3 + x4 + x5 = 72
when
(a) xi 0,i = 1,...,5
(b) xi 1,i = 1,...,5

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Define g, h: {x€R2} |x| ≤ 1} →R by g(x,y) = (x,y, &

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