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Magazine Problem 119
In Exercises 117 - 120, \( \$2500 \) is invested in an account at interest rate \( r \), compounded continuously. Find the time required for the amount to (a) double and (b) triple. \( r = 0.025 \)
Problem 120
In Exercises 117 - 120, \( \$2500 \) is invested in an account at interest rate \( r \), compounded continuously. Find the time required for the amount to (a) double and (b) triple. \( r = 0.0375 \)
Problem 121
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( 2x^2e^{2x} + 2xe^{2x} = 0 \)
Problem 122
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( -x^2e^{-x} + 2xe^{-x} = 0 \)
Problem 123
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( -xe^{-x} + e^{-x} = 0 \)
Problem 124
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( e^{-2x} - 2xe^{-2x} = 0 \)
Problem 125
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( 2x \ln x + x = 0 \)
Problem 126
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( \dfrac{1 - \ln x}{x^2} = 0 \)
Problem 127
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( \dfrac{1 + \ln x}{2} = 0 \)
Problem 128
In Exercises 121 - 128, solve the equation algebraically. Round the result to three decimal places. Verify your answer using a graphing utility. \( 2x \ln \left(\dfrac{1}{x}\right) - x = 0 \)
