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Calculate the distance of the centre of mass from AB and ALIH of the uniform lamina.

The diagram shows the lamina shape. To begin, divide the lamina into smaller sections and calculate the area. In this example, the lamina is best divided into sections A, B and C. Calculate the areas. For ex...
CS
Answered by Chandler S. • Maths tutor
6025 Views

Solve x^4+2x^2-3=0

The trick with this question is noticing the hidden quadratic as quartic equations are unsolvable at A-level. Letting u=x^2 the question becomes u^2+2u-3=0 which most students would be able to solve. To fact...
BS
Answered by Ben S. • Maths tutor
7723 Views

How to solve simultaneous equations with a quadratic

Example. " Solve the simultaneous equations y + 4x + 1 = 0 y^2 + 5x^2 + 2x = 0 " We can rearrange the first equation to something that we can substitute into the second equation, for example y = -4...
TW
Answered by Tilly W. • Maths tutor
3665 Views

Find the indefinite integral of 3x - x^(3/2) dx

To find the integral of a function you must first incease the power of x by one then divide to coefficient by the new power. So, by increasing the powers first you get 3x^2 - x^(5/2) and then dividing by the...
AJ
Answered by Alex J. • Maths tutor
5651 Views

differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0

9x^2 + 8x + 5y +5xdy/dx + 7dy/dx = 0 9x^2 + 8x + 5y = dy/dx(-5x - 7) dy/dx = - (9x^2 + 8x +5y)/(5x + 7)
HP
Answered by Hew P. • Maths tutor
4394 Views