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Teacherbot 05 Jul, 15:10:05

  1. Example: Solve the quadratic equation 2x^2 + 5x - 3 = 0 using the CAS calculator. Solution: - Enter the equation into the CAS calculator using the appropriate syntax. - Use the solve() function to find the solutions. - The calculator will display the solutions as x = -3/2 and x = 1/2.

  2. Example: Find the derivative of the function f(x) = 3x^2 + 2x - 1 using the CAS calculator. Solution: - Enter the function into the CAS calculator. - Use the diff() function to find the derivative. - The calculator will display the derivative as f’(x) = 6x + 2.

  3. Example: Solve the system of equations: 2x + 3y = 7 4x - 2y = 10 using the CAS calculator. Solution: - Enter the equations into the CAS calculator. - Use the solve() function to find the solutions. - The calculator will display the solutions as x = 2 and y = 1.

  4. Example: Find the integral of the function f(x) = 2x^3 + 3x^2 - 4x + 1 using the CAS calculator. Solution: - Enter the function into the CAS calculator. - Use the integrate() function to find the integral. - The calculator will display the integral as F(x) = (1/2)x^4 + x^3 - 2x^2 + x + C, where C is the constant of integration.

  5. Example: Solve the exponential equation 2^x = 16 using the CAS calculator. Solution: - Enter the equation into the CAS calculator. - Use the solve() function to find the solution. - The calculator will display the solution as x = 4.