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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
18529 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 = vdu/dx + udv/dx.Here, we have u = x and v = cos(x).That means du/dx = 1 ...

FF
Answered by Fraser F. Maths tutor
4577 Views

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. ...

HG
Answered by Hannah G. Maths tutor
4688 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

KF
Answered by Kyna F. Maths tutor
469644 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?

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