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You are sitting in a boat on a lake, you have with you in the boat a large rock. You throw the rock out of the boat and it sinks to the bottom of the lake, does the water level of the lake go up, down or stay the same?

Whilst in the boat the rock (and you) are floating, this means that the amount of water displaced by the rock is the mass of the rock. When the rock sinks to the bottom of the lake the amount of water dis...

Answered by Jonathan B. • Physics tutor

9812 Views

How is the factor theorem used?

The factor theorem is used to determine factors of large polynomials so that we can split large polynomials into a product of linear polynomials. Say we have a cubic polynomial of the form f(x)=x^3+bx^2+c...

Answered by Rob D. • Maths tutor

3524 Views

Solve 4x/(x+1) - 3/(2x+1) = 1

Firstly multiply through by (x+1)(2x+1) to get rid of the fractions and then expand the brackets. Then gather the terms on one side to get a quadratic equation (ie 3x^2 - x -2=0) and then simply solve thi...

Answered by Raban B. • Maths tutor

4024 Views

But the Christianity in the Handmaid's Tale isn't like the Christianity we have here though

You're right. It's a dystopian novel which means the religion described in the book is different to the religion that you have at home. However, Atwood uses many biblical references throughout the book, s...

Answered by Victoria T. • English Literature tutor

3760 Views

integrate 6x^2

To integrate we increase the power by one, then divide by the new power.
Therefore the power (^2) increases to (^3), and the 6 is divided by the new power (^3), making the first number a 2.
2x^3...

Answered by Lewis M. • Maths tutor

11300 Views