Chapter 12: Q36E (page 741)
(b) Use a computer to draw the torus.
Short Answer
The graph for the torus is
Chapter 12: Q36E (page 741)
(b) Use a computer to draw the torus.
The graph for the torus is
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Get started for freeEvaluate the double integral \(\iint\limits_D {\left( {x{y^2}} \right)dA}\)D is enclosed by\(x = 0, x = \sqrt {1 - {y^2}} \)
Use a graphing device to draw the solid enclosed by the paraboloids \({\rm{z = }}{{\rm{x}}^{\rm{2}}}{\rm{ + }}{{\rm{y}}^{\rm{2}}}\) and \({\rm{z = 5 - }}{{\rm{x}}^{\rm{2}}}{\rm{ - }}{{\rm{y}}^{\rm{2}}}.\)
Calculate the double integral
\(\int {\int\limits_R {y{e^{ - xy}}dA,R = \left( {0,2} \right)X\left( {0,3} \right)} } \)
16: Evaluate the double integral \(\iint\limits_D {\left( {{x^2} + 2y} \right)dA}\)D is bounded by\(y = x,y = {x^3},x \ge 0\)
Evaluate the double integral \(\iint\limits_D {\left( {2x - y} \right)dA}\)D is bounded by the circle with the centre origin and radius 2.
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