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The equation of curve C is 3x^2 + xy + y^2 - 4x - 6y + 7 = 0. Use implicit differentiation to find dy/dx in terms of x and y.

6x + xdy/dx + y + 2ydy/dx - 4 - 6dy/dx = 0xdy/dx + 2ydy/dx - 6dy/dx = 4 - 6x - ydy/dx (x + 2y - 6) = 4 - 6x - ydy/dx = (4-6x-y)/x+2y-6)
Answered by • Maths tutor
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Make s the subject of :v^2 = u^2 +2*a*s

v^2 = u^2 +2 a s, v^2-u^2 = 2 a s, (v^2-u^2)/2*a = s, End
PS
Answered by Phillip S. • Maths tutor
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Make x the subject of the formula when: y = 6-2x / 8

The first step is to multiply both side by 8, as this will cancel out the 8 that is beneath the 6-2x. This will then make the equation look like this: 8y = 6-2x. As we are making X the subject of the formula...
EW
Answered by Elia W. • Maths tutor
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Solve the simultaneous equations 5x + y = 21 x - 3y = 9

To solve simultaneous equations we want to use only one variable so either x or y. Therefore we need to eliminate (get rid of) one of the variables .If you multiply x - 3y = 9 by 5 you will get 5x - 15y = 45...
AH
Answered by Amelia H. • Maths tutor
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Azmol, Ryan and Kim each played a game. Azmol’s score was four times Ryan’s score. Kim’s score was half of Azmol’s score. Write down the ratio of Azmol’s score to Ryan’s score to Kim’s score.

4:1:2
KP
Answered by Keena P. • Maths tutor
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