Solve the heat conduction problem for the temperature u(x, t) in a uni- form rod of length 3, with the temperature held constant at a value of 0 at one end and at a value of 21 at the other end, ut = urr, 00, u(0,t) = 0, (3, t) = 21, u(3,0) = 0, 0 0. Completely evaluate any integrals in your solution.

c

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d.) yes, because the volume of the cone is greater than the volume of the sphere

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answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

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