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Given f(x) = 3 - 5x + x^3, how can I show that f(x) = 0 has a root (x=a) in the interval 1<a<2?

In plain english, we need to show that there is a value of x, which we call "a", in the interval 1 < a < 2 where f(a)=0. To prove this we start by letting x = 1: f(1) = 3 - 5(1) + 13<...

GP
Answered by Giorgos P. Maths tutor
7701 Views

What would you say is generally the ‘perfect’ model essay structure? E.g. theory mixed with evaluation or separately e.g theory first and evaluation after..?

The perfect model structure would see theory (the AO1 knowledge) being separate from evaluation, but should also show them linked to each other effectively.

For instance, when talking about the bio...

BB
Answered by Bonnie B. Psychology tutor
2519 Views

When given an equation with both letters and numbers on each side of the equals sign, for instance 4x +3 = 5x - 3, how do you know what to do first?

With equations like this the most important thing is that you end up with all the numbers on one hand side and all the letters on the other side. People often think there is a 'right' and 'wrong' order to...

SK
Answered by Sophie K. Maths tutor
3192 Views

Solve these simultaneous equations: 2x + y = 7, and 3x - y = 8. Do so by 1) Eliminating an Unknown and 2) Substitution.

  1. The number 'in front of' an unknown is called the Coefficient. When eliminating an unknown, look to see whether the coefficients of x are the same in both equations, or if the coefficients of y are ...
EH
Answered by Ellie H. Maths tutor
3467 Views

Why protons held together in the nucleus?

Alike atoms, protons are also made of smaller particles - mesons. When protons are at very close distance mesons are bonded together by the Strong Nuclear Force, which is stronger than the Electric Force,...

ED
Answered by Eugeniu D. Physics tutor
4414 Views

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