Which of the following is not a composer from the classical era? a) Bach b) Beethoven c) Haydn d) Mozart
Johann Sebastian Bach is considered a classical composer by the general public, Bach is a baroque composer. The music composed during the baroque period is generally more crisp and structured while the classical period is more connected and free flowing.
Calculate the derivative of e^(2x) * 6x^2
Using the product rule split the problem into f1(x) & f2(x) f1(x) = e^(2x) f2(x) = 6x^2 f1'(x) = 2e^(2x) f2'(x) = 12x Product Rule: f1*f2' + f2*f1' [e^(2x) * 12x] + [6x^2 * 2e^2x] 12xe^(2x) + 12e^(2x)*x^2
Solve the following equation: x^2 + 13x + 23 = 0
The function is in the form: ax^2 + bx + c = 0 a*c = 1*23 = 23, because 23 is prime use quadratic formula roots = (-b +/- sqrt(b^2 - 4ac))/(2a) = (-13 +/- sqrt((13)^2 - 4*1*23))/(2*1) = (-13 +/- 77)/2 x1 = 45; x2 = 32