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Chapter 6: Q1P (page 334)
Do case (b) of Example above.
The value of the integral is .
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Evaluate each of the integrals in Problems 3 to 8 as either a volume integral or a surface integral, whichever is easier.
Over the whole surface of the cylinder bounded by
The force F = i - 2jacts at the point (0, 1, 2) Find the torque of F about the line .
Given and the point (3,4,1) find
(a) at P ;
(b) a unit vector normal to the surface at P ;
(c) a vector in the direction of most rapid increase of at P;
(d) the magnitude of the vector in (c);
(e) the derivative of at in a direction parallel to the line
around the square with vertices
Show by the Lagrange multiplier method that the maximum value of .That is, maximize given by (6.3) subject to the condition . You should get two values () for the Lagrange multiplier 位, and two values (maximum and minimum) forwhich is the maximum and which is the minimum?
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