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y = 1/x^2, differentiate y (taken from AQA 2018 past paper)

y = 1/x^2 is the same asy = x^-2 , now we can use the standard differentiation formula nx^n-1 to gety = -2x^-3y = -2/x^3

Answered by Maths tutor
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Solve this simultaneous equation using the process of elimination: -6x - 2y = 14 3x - 2y = 5

To solve using elimination, you need to use the following four steps:Step 1: make sure that both of the equations have opposite x terms or opposite y terms. Currently neither of the x terms in the two equ...

EB
Answered by Emily B. Maths tutor
2994 Views

How do you complete the square for the question x^2 + 6x - 10 ?

  1. the x squared is counted as A, the 6x is counted as B and -10 is C2) you halve the B term so in this case it would be 3x from the 6x and write it with an x in a bracket squared e.g. (x+3)^23) then y...
AS
Answered by Amelia S. Maths tutor
3428 Views

Solve algebraically the simultaneous equations: 6m + n = 16 and 5m - 2n = 19

The first step of solving simultaneous equations with two unknown variables (m & n in this case) is to rearrange one of the equations so that we get one variable in terms of the other. Lets take the f...

HD
Answered by Harry D. Maths tutor
3881 Views

Given that y= x^(-3/2) + (1/2)x^4 + 2, Find: (a) the integral of y (b) the second differential of y

This is a typical question for a Core 1 paper. (a) integral of y = (-2)x^(-1/2) + 0.1x^5 + 2x +C Method: Increase the power of x by +1, divide the term through by the new power. (b) dy/dx = (-3/2)x^(-5/2)...

Answered by Maths tutor
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