new year messages

Answer 1 To solve the quadratic equation 3x^2 - 5x + 2 = 0 using the quadratic formula, use x = [-b ± √(b² - 4ac)] / 2a. Here, a = 3, b = -5, and c = 2. Plugging in these values, we get x = [5 ± √(25 - 24)] / 6, which simplifies to x = [5 ± 1] / 6....

Answer 1 In a multi-step scenario, break down the problem into individual steps, identifying mutually exclusive events at each step. Calculate the probability for each step separately, and then combine these probabilities using the rules of...

Answer 1 A derivative represents the rate at which a function changes at any given point and is a fundamental concept in calculus. For a function f(x), the derivative f'(x) is defined as the limit of the difference quotient as the interval approaches...

Answer 1 To solve a system of non-linear equations using substitution, isolate one variable in one equation and substitute it into the other. For elimination, manipulate equations to cancel one variable, then solve the resulting equation. Both...