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Find the gradient of the curve with the equation y = x^3+7x^2+1 at x=2

The equation of the line is y=x³+7x²+1To find the equation for the gradient of the line, we need to differentiateDifferentiating gives us dy/dx = 3x²+14xWe can now find th...

Answered by Charlotte R. • Maths tutor

3821 Views

Megan buys a car for £7,700 plus 20% VAT. She pays a deposit for the car and then pays the rest in 12 equal instalments of £642.50. How much did Megan pay as a deposit?

7700 x 1.2 = 9240 (total cost of car)12 x 642.5 = 7710 (total cost of instalments)9240 - 7710 = 1530Answer = £1,530

Answered by Charles D. • Maths tutor

2510 Views

dy/dx of 2x (3x - 1)^5

use the product rule as well as chain rule. We require the product rule when there is are variables both outside and inside the brackets. The chain rule is only utilised when we have one variable.

Answered by Amir T. • Maths tutor

5701 Views

Find ∫(8x^3+6x^(1/2)-5)dx Give your answer in the simplest form.

This is a simple C1 question on basic integration.I find it best to think of integration as 'anti-differentiation' and it's far more simple. Take each power, add one to it, before dividing into t...

Answered by Kudzai S. • Maths tutor

7310 Views

There are some people in a cinema. 3/5 of the people in the cinema are children. For the children in the cinema, number of girls:number of boys = 2:7. There are 170 girls in the cinema. Work out the number of adults in the cinema.

We can begin by working out the total number of children in the cinema. We know that for every 2 girls, there are 7 boys, which is the same as saying for every 1 girl, there are 3.5 boys. Three and a half...

Answered by Tayla B. • Maths tutor

22435 Views