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Solve the simultaneous equation: 2x + y = 18 and x−y=6

Check to see if the number in front (coefficient) of either the x's or y's is the same. In this case both the y's have the same coefficient so we do not need to make them the same.We are going to add the par...
CK
Answered by Chelsea K. Maths tutor
5191 Views

Find the stationary points of the function f(x) = x^3+6x^2+2 and determine if they are local maximums or minimums.

A stationary point is defined as a point on the function where the gradient is zero, i.e f'(x) = 0 . To construct this equation we must differentiate the function, we would find f'(x) = 3x 2 +12x . The corre...
LS
Answered by Luke S. Maths tutor
5883 Views

How do I find the roots of a quadratic equation?

A quadratic equation has the form ax 2 + bx + c Our goal is to find values of x such that ax 2 + bx + c = 0These values of x are known as the "roots" of the quadratic. Exercise: Find the roots of x...
ZT
Answered by Zach T. Maths tutor
3694 Views

Calculate the derivative of x^x

This problem is best solved using implicit differentiation and by tackling each side of the equation individually. First write down the problem as "y = x^x". Recalling that log rules can be used to...
GH
Answered by George H. Maths tutor
4301 Views

How do you work out the median of a set of numbers?

The median is the middle number of a set of ordered numbers, i.e. halfway along. To find the median of the data set you should arrange the numbers into order, lowest to highest. Count equally from both ends ...
LK
Answered by Lydia K. Maths tutor
3693 Views