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Billy wants to buy 10kg of the same oranges. Type A comes in bags of 1.25 kg and costs £1.50. Type B comes in bags of 5kg and used to cost £6.60 but are now 15% off. Which type is more worth it for Billy and how much does it cost?

For Type A: 10kg/1.25kg = 8 bags, therefore for 10kg it costs 8 x £1.50 = £12.00. For Type B: 1 bag used to cost £6.60 but now has 15% off =>15% of £6.60 => £6.60 x 0.15 = £0.99 => So one bag now co...
AC
Answered by Alex C. • Maths tutor
4812 Views

Integrate tan (x) with respect to x.

I = ∫ Tan (x) dx= ∫ (sin(x)) / (cos(x)) dx We see that this is close to the standard integral ∫ F'(x) / F(x) dx = Ln (F(x)) + C So first we must rewrite the Integral as: I = - ∫ (-sin(x)) / (cos(x)) dx (Taki...
MH
Answered by Matthew H. • Maths tutor
13235 Views

Find the tangent to y = x^2 - 4x + 9 at the point (3,15)

First find dy/dx: dy/dx = 4x - 4 And thus at (3,15): dy/dx = 12 - 4 = 8 = m (as m is the gradient of a curve) So using y - y 1 = m(x - x 1 ) where (x 1 ,y 1 ) = (3,15): y - 15 = 8(x - 3) y = 8x- 9
SH
Answered by Scott H. • Maths tutor
3559 Views

Find the derivative (dy/dx) of the curve equation x^2 -y^2 +y = 1.

Most of the differentiation problems require us to apply one of the well known rules, be it product rule, quotient rule or chain rule. But those problems have one thing in common: explicite formula for y, be...
AG
Answered by Adam G. • Maths tutor
6000 Views

How do I solve a quadratic equation?

All quadratic equations can be written in the form ax 2 + bx + c = 0, where a, b and c are constants. Firstly, check whether you can easily factorise the equation into the form (x + p)(x + q) = 0, where pq =...
MS
Answered by Matthew S. • Maths tutor
4861 Views