Search over 10,000 free study notes

These are simultaneous equations and we need to find the value of X and Y. We can use the elimination method. The coefficients (the amount the letter is being multiplied by) of X and Y do not match. First...

To find an extreme point of a function you must first take the derivative of f(x) with respect to x.
As the function will peak/trough at the extreme point, the gradient at this point will be equal to...

(a)To find the turning points of a curve, need to solve dy/dx=0. Using the quotient rule one can differentiate y:y=f(x)/g(x) dy/dx=(f'(x)g(x)-f(x)g'(x))/(g(x))²f(x)=3x, f'(x)=3, g(x)=(9+x^2...

Try differentiating:sin(x)cos(z-x)+cos(x)sin(z-x)with respect to x and for constant z, then simply the derivative you deduce, then integrate throughout the simplified equation. See what happens!

It depends on how much it changes. For instance, if some object does undergo as good as makes no difference constant acceleration, then the SUVAT equations apply quite well to the circumstances a...