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Show that AB is not parallel to CD.

Question has two figures: a trapezium with angles 60, 2x, 3x,x and two lines AB and CD with a line across them forming conjugate angle sets with the two labelled angles 120 and x not part of the same pair. E...
EP
Answered by Elizabeth P. • Maths tutor
14563 Views

y = (x^3)/3 - 4x^2 + 12x find the stationary points of the curve and determine their nature.

first we find the first derivative of the function. Here dy/dx = x^2-8x+12. We set this to zero and factorise to obtain the roots of the function. Such that dy/dx = (x-6)(x-2)= 0. This gives the stationary p...
JM
Answered by Jordan M. • Maths tutor
5333 Views

Solve the simultaneous equations y=2x and y=x+3

As both equations have y on the left hand side we can put the right hand sides equal to each other, so 2x=x+3. We can then subtract x from both sides. This gives 2x-x on the left hand side which is x, and x+...
HC
Answered by Hannah C. • Maths tutor
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Differentiate y = (3x^2 + 1)^2

Looking at this question the first thing we should notice is that there is a an x squared inside a bracket which is also squared. As there is function inside a function we must use the chain rule. The simple...
HB
Answered by Hannah B. • Maths tutor
6239 Views

Sketch a graph of the equation of y=3x+2

Looking at this equation you can see that it is in the form of y = mx + c and we know that this is the equation of a straight line. One way to solve this would be to inspect the equation and see that the c c...
HB
Answered by Hannah B. • Maths tutor
8537 Views