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Thinking about the normal, it is a line which cuts the curve at right angles, and so will have the form y = mx + c. Now at the point where x = 1, we know the y value from the curve's equation is y = 2(1)<...

To find f(x) using its derivative, first integrate f'(x) with respect to x using the 'add one to the power and divide by the new power' technique remembering to add the constant c. To make this easier, tu...

Answer = 2x^3/3 + 3x^2/2 + 8x + CThis is an example of numerical integration from C1. To begin to answer this question, we can integrate each term at a time. To integrate this function, we raise the power...

At a stationary point of y, dy/dx = 0.Step 1: Let's find dy/dx first by differentiating. To differentiate the product of two functions, we can use the product rule...

Ln(3x-7)=5 Remove logs from both sides 3x-7=e⁵Rearrange to make x the subject3x=e⁵+7x=e⁵+7 3