Find an expression for the {{CMD_58}}average rate{{CMD_59}}, {{MATH_60}}, at which oil flows into the tank in the first {{MATH_61}} minutes for {{MATH_62}}. Express {{MATH_63}} {{CMD_64}}symbolically{{CMD_65}} in terms of the function {{MATH_66}}, the variable {{MATH_67}} and the quantity {{MATH_68}}. {{CMD_69}} {{CMD_70}}{{MATH_71}}{{CMD_72}} {{CMD_73}}{{MATH_74}}{{CMD_75}} {{CMD_76}}{{MATH_77}}{{CMD_78}} {{CMD_79}}{{MATH_80}}{{CMD_81}} {{CMD_82}}{{MATH_83}}{{CMD_84}} {{CMD_85}}{{MATH_86}}{{CMD_87}} {{CMD_88}} {{COMMENT_89}} {{COMMENT_90}} {{COMMENT_91}} {{CMD_92}} Now let {{MATH_93}} be the function denoting the {{CMD_94}}average rate{{CMD_95}} at which oil drains in the time interval {{MATH_96}} where {{MATH_97}} is greater than {{MATH_98}} and less than tau---that is, where {{MATH_99}}. Express {{MATH_100}} {{CMD_101}}symbolically{{CMD_102}} in terms of the function {{MATH_103}} and the variables {{MATH_104}} and {{MATH_105}}. {{CMD_106}} {{CMD_107}}{{MATH_108}}{{CMD_109}} {{CMD_110}}{{MATH_111}}{{CMD_112}} {{CMD_113}}{{MATH_114}}{{CMD_115}} {{CMD_116}}{{MATH_117}}{{CMD_118}} {{CMD_119}}{{MATH_120}}{{CMD_121}} {{CMD_122}}{{MATH_123}}{{CMD_124}} {{CMD_125}} {{CMD_126}} What does {{MATH_127}} compute? {{CMD_128}} {{CMD_129}}The average rate of change of {{MATH_130}}.{{CMD_131}} {{CMD_132}}The average rate of change of {{MATH_133}} at {{MATH_134}}.{{CMD_135}} {{CMD_136}}The instantanous rate of change of {{MATH_137}}.{{CMD_138}} {{CMD_139}}The instantanous rate of change of {{MATH_140}} at time {{MATH_141}}.{{CMD_142}} {{CMD_143}}{{MATH_144}}{{CMD_145}} {{CMD_146}}{{MATH_147}}.{{CMD_148}} {{CMD_149}} {{CMD_150}} {{CMD_151}} {{CMD_152}} {{CMD_153}} {{CMD_154}} {{CMD_155}} {{CMD_156}} {{CMD_157}} {{CMD_158}} {{CMD_159}}