Top answers

Differentiate x^(4) + x^(1/2) + 3x^(5)

When considering a term in the form of x n , we use the rule nx n-1 when differentiating. So, we multiply the power of x by the coefficient (number in front) of x and then minus one from the power of x. In t...
EP
Answered by Emily P. • Maths tutor
3867 Views

Solve the simultaneous equations: x^2 + 8x + y^2; x - y = 10.

Label the two equations. x 2 + 8x + y 2 = 84 (1) x - y = 10 (2) Rearrange (2) to get y = x - 10 and substitute for y in (1) to get x 2 + 8x + (x - 10) 2 = 84. Expanding and collecting like terms gives 2x 2 -...
LT
Answered by Lewis T. • Maths tutor
5699 Views

What is the binomial theorem and why is it true?

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for an...
JC
Answered by Jacob C. • Maths tutor
3867 Views

A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.

Factorise: (x-2)(x+4)(x-1) Set equal to 0: (x-2)(x+4)(x-1) = 0 Points are (2,0) (-4,0) (1,0)
WF
Answered by William F. • Maths tutor
3741 Views

How to plot quadratic functions, e.g. F(x)= x^2 + 2x +1

What we require to plot this graph are the following: the general shape of the graph, the intercepts with the x and y axes and the maximum point/minimum point. All functions with x 2 as the highest order are...
AS
Answered by Alexandra S. • Maths tutor
6754 Views