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To integrate this simple equation add one to the power then divide by the new power for example. 2x^2 becomes 2/3x^3 4x becomes 2x^2 and 1 becomes x plus constant c so the overall integrated equation is 2...

Expand RHS: t² - t = 21+ 3tCollect all terms on one side: t² - 4t - 21 = 0Factorise and solve by inspection / use the quadratic formula to solve for t: (t + 3)(t - 7) = 0 / t = [ -(-...

First notice that this is an equation that will require implicit differentiation since C cannot be explicitly written in terms of either x or y. Thus we must differentiate each term with respect to x:-the...

When a question asks us to solve an equation, it is asking us to find the value of x. We need to rearrange so that x is on one side of the equals sign, and everything else is on the other. First, we need ...

x²+y²=25 and y-3x=13Step 1 is to label the equations (1) and (2). We shall label the first equation, the quadratic, as equation (1) and the second equation, the linear, as equation (...