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This is similar to other factorisation problems such as x² + 5x - 6. In this problem, you would find prime factors of -6 that add up to 5 (In this case -3, -2). 
Now, do the exact same wit...

When integrating a long chain of functions, we can integrate each term seperately and combine them. Let us now integrate:∫21x⁶dx = 21∫x⁶dx. Using the Power Rule [∫x^adx = (...

To calculate the perimeter of a shape, you have to add up the lengths of all of its sides. So:A: 3y + 2x + 3y + 2x = 94 ; B: (y + 4) + (x + 6) + (y + 4) +(x + 6) = 56Simplifying both equations give:4x + 6...

The mean of a group of numbers is found by dividing their sum by how many numbers there are.

Mean=(1+7+25+9+34)/5=76/5=15.2

Write as y=uv u=x v=e^x

du/dx=1 dv/dx=e^x 

Using the product rule, dy/dx=vdu/dx + udv/dx

So dy/dx=e^x(1)+x(e^x...