Calc problems


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1.mws

> z1 := (25-x^2 - y^2)^(1/2);

z1 := sqrt(25-x^2-y^2)

> z2 := ((x-x)^2 + (y-y)^2)+3;

z2 := 3

> z3 := 3;

z3 := 3

> plot3d({z1, z3}, x=-4.50..4.500, y=-4.500..4.500);

[Maple Plot]

> A1 := diff(z1, x);

A1 := -1/(25-x^2-y^2)^(1/2)*x

> A2 := A1^2;

A2 := 1/(25-x^2-y^2)*x^2

> B1 := diff(z1, y);

B1 := -1/(25-x^2-y^2)^(1/2)*y

> B2 := B1^2;

B2 := 1/(25-x^2-y^2)*y^2

> C1 := simplify((A2 + B2 +1)^(1/2));

C1 := 5*sqrt(-1/(-25+x^2+y^2))

> D1 := r/((25-r^2)^(1/2));

>

D1 := r/(25-r^2)^(1/2)

> D2 := int(D1, r);

D2 := -sqrt(25-r^2)

>