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Name and describe a method of protecting (a) an invention and (b) a new product that is similar in function to an existing design but differs in shape.

Patent - Gives exclusive right to make, use or sell a new invention for a set period of 20 years. It allows the designer to take legal action, but it must be shared in detail in the public domain. It must me...
SM
2869 Views

y = 2x^3 + 15x^2 + 24x + 10 Find the stationary points on this curve and determine their nature

First differentiate the function to obtain dy/dx = 6x^2 + 30x + 24 Then set this equal to 0 and solve to find the x values of the stationary points 6x^2 + 30x + 24 = 0 6(x^2 + 5x + 4) = 0 6(x +1)(x+4) = 0 th...
KW
Answered by Kate W. • Maths tutor
10743 Views

Show that (1 - cos(2x)) / (1 + cos(2x)) = sec^2(x) - 1

First, take the side of the equation that looks most complicated because it often needs simplifying. This is the LHS in this case. The LHS has cos(2x) twice - therefore the double angle formula probably appl...
LG
Answered by Louis G. • Maths tutor
7482 Views

Integrate 5(x + 2)/(x + 1)(x + 6) with respect to x

This term cannot be integrated in the form that it is in. We will have to do some algebraic manipulation to rewrite it. The term can be split into partial fractions because the denominator of the term has be...
LP
Answered by Lata P. • Maths tutor
3742 Views

What is the easiest way to calculate E cell values?

This is a calculation which students often find tricky. One fail-safe method for doing this calculation is considering E cell = E (reduced) - E(Oxidised). A more positive electrode potential means that a spe...
RD
49091 Views