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After sketching a diagram of the curve and the solid for clarity, we see that we need to use the formula V = π∫ y² dx (with upper and lower bounds of 3π/4 and π/4 respectively) to calculate the...

36/12 = 33x4 = 12Katie gets £12

First thing first, we should always write down the equation of a straight line (which is y = mx + c) as this will be important for this question.In order to find the equation of the strai...

We can tackle this question by completing the square. Completing the square allows us to write a quadratic equation (x^2+10x+3) in the simpler form (x+a)^2+b.To complete the square, first we need to find ...

Use product rule. d(uv)/dx = u dv/dx +v du/dxu=x du/dx=1v=e^x dv/dx=e^x
d(xe^x)/dx = xe^x + e^x.1 = e^x(x+1)