Exam 6: Section 2: Differential Equations

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Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? is proportional to Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? . When Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? , Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? and when Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? , Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? = 84. What is the value of Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? when Write and solve the differential equation that models the following verbal statement. Evaluate the solution at the specified value of the independent variable, rounding your answer to four decimal places: The rate of change of   is proportional to   . When   ,   and when   ,   = 84. What is the value of   when   ? ?

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The half-life of the radium isotope Ra-226 is approximately 1,599 years. What percent of a given amount remains after 800 years? Round your answer to two decimal places.

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A container of hot liquid is placed in a freezer that is kept at a constant temperature of A container of hot liquid is placed in a freezer that is kept at a constant temperature of   . The initial temperature of the liquid is   . After 3 minutes, the liquid's temperature is   . How much longer will it take for its temperature to decrease to   ? Round your answer to two decimal places. . The initial temperature of the liquid is A container of hot liquid is placed in a freezer that is kept at a constant temperature of   . The initial temperature of the liquid is   . After 3 minutes, the liquid's temperature is   . How much longer will it take for its temperature to decrease to   ? Round your answer to two decimal places. . After 3 minutes, the liquid's temperature is A container of hot liquid is placed in a freezer that is kept at a constant temperature of   . The initial temperature of the liquid is   . After 3 minutes, the liquid's temperature is   . How much longer will it take for its temperature to decrease to   ? Round your answer to two decimal places. . How much longer will it take for its temperature to decrease to A container of hot liquid is placed in a freezer that is kept at a constant temperature of   . The initial temperature of the liquid is   . After 3 minutes, the liquid's temperature is   . How much longer will it take for its temperature to decrease to   ? Round your answer to two decimal places. ? Round your answer to two decimal places.

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Solve the differential equation. Solve the differential equation.

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Solve the differential equation Solve the differential equation   . .

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