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Find and simplify the point(s) of intersection of the curves: x^2 + y^2 =6 , y = x - 3

Substituting y = x-3 into the first equation and expanding brackets:(x-3) 2 +x 2 = 6 <=> 2x 2 -6x +9 =6 <=> 2x 2 -6x +3 =0Solving by using the quadratic formula:x=(6+- sqrt(36-4(2)(3)))/4 = (6+- ...
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Answered by Evans R. • Maths tutor
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Simultaneous equations - Find the values of y and x: 3

3x + 5y = 19 and4x - 2y = -18Find the common multiple for 3x and 4x to enable it to be cancelled out. In this case it would be 124(3x + 5y) = 4(19) 3(4x - 2y) = 3(-18) 12x + 20y = 76 12x - 6y = -54 12x + 20y...
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Answered by Zyen U. • Maths tutor
3601 Views

What is the product rule in differentiation?

The product rule is a special rule that exists for differentiating products of two (or more) functions. It states: If y= uv , then dy/dx= u (d v /dx) + v (d u /dx) . So when we have a product to differentiat...
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Answered by Ife A. • Maths tutor
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2x + y = 24, x - y = 6

x = 10, y = 4
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Answered by Casimir M. • Maths tutor
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d/dx[sin(x) + cos(x)]

cos(x) - sin(x)
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Answered by Casimir M. • Maths tutor
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