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Factorize x³-x

x³-x=x(x²-1)=x(x+1)(x-1)
JQ
Answered by Jia Qin L. • Maths tutor
19390 Views

What is the gradient of y = xcos(x) at x=0?

First we want to calculate the derivative of y. To do this we use the product rule:If we rewrite y as y = uv, then dy/dx = v du/dx + u dv/dx.Here, we have u = x and v = cos(x).That means du/dx = 1 and dv/dx ...
FF
Answered by Fraser F. • Maths tutor
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Can you solve these simultaneous equations and find the values of x and y? Equation 1: 2x + y = 14 Equation 2: 4x - y = 10.

Equation 1: 2x + y = 14 Equation 2: 4x - y = 10 Add the two equations together to get 6x = 24. Therefore x = 4. Then substitute the value x = 4 into equation 1 and solve. 2(4) + y = 14 8 + y = 14 y = 6 There...
HG
Answered by Hannah G. • Maths tutor
5147 Views

Find the integral of sin^2(X)

As soon as you see a question asking you to integrate the square of sin, cos or tan, your first approach should be to use trigonometric identities and double angle formulas . For sin 2 (X), we will use the c...
KF
Answered by Kyna F. • Maths tutor
510130 Views

Do two random lines, y=ax + b and y=cx + d, intersect? How do we work this out and if they do, where do they intersect?

Let us use Line 1 and Line 2 as an example. Line 1: y = 2x + 3 Line 2: y = -0.5x + 7 Step 1 - Try and plot the two functions on a x, y coordinate axes. Remember y = mx + c. Using Line1, we are given the y in...
IJ
Answered by Ivan J. • Maths tutor
12843 Views