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Using the differentiation rule that d (Ax^b)/dx = Abx^(b-1) we find dy/dx = 2x -2 -12x^(-1/2).Similarly, taking care to see that the -2 term becomes zero since it is not dependent on x, we haved^2y/dx^2 =...

This is common confusion for many Spanish students. Both verbs mean 'to be' in English, but have different uses in Spanish! Here's a very general go-to rule to help you remember which verb to use when: 'S...

To start we need to set up the equation described by the question. Our answers should be in the form a + bi (where a and b are real), and since any answers are the root of 3 + 4i we can write down the fol...

To solve this problem we need a formula. Integral of y²dx multiplied by pie. First we square the questions of the curve we are given (sinx)² . Next we apply double angle formula to r...

Both 'The Great Gatsby' and 'The Grapes of Wrath' explore themes of class division and poverty. The context of 1930's and 1920's America is important to note, the former during The Great Depression where ...