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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 (...

The question has given us a function and wants us to determine whether or not any maximums/minimums exist (and if so identify then). We know maximums/minimums occur when the derivative of the equation is ...