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The gradient of a curve is defined as Dy/dx = 3x^2 + 3x and it passes through the point (0,0), what is the equation of the curve

Integrate this = (3x^3)/3 + (3x^2)/2 + c So y = x^3 + (3x^2)/2 + c Using point (0,0), 0 = 0 + 0 + c so c = 0. Full equation of the curve is therefore x^3 + (3x^2)/2
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Answered by Laura T. • Maths tutor
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Simplify fully: (5 +√7)/ (2+√7)

Can show working on a whiteboard.
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Answered by Tony A. • Maths tutor
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Can I have some guidance on the correct answer for this word order, grammar question?

Here's an example: 'On each biscuit (was wrote) (wrote) (write) (was written) (was writ) a word in bright pink icing.' For this type of question you will need to circle the correct word(s) that are shown her...
EM
Answered by Ella M. • Maths tutor
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The length of a regular 9 sided shape is 4cm, what is the perimeter of the shape?

The key to this question is knowing your maths termionoly, once you've got that, this question will make a lot more sense. Perimetre essentially means the lengths of each side of the shape added together. Re...
EM
Answered by Ella M. • Maths tutor
3327 Views

A stone was thrown with velocity 20m/s at an angle of 30 degrees from a height h. The stone moves under gravity freely and reaches the floor 5s after thrown. a) Find H, b)the horizontal distance covered

To find the height we first need to find the initial vertical velocity of the stone. This will be equal to 20 * sin(30) = 20 0.5 = 10m/s. From here we can use SUVAT. In this case s=-h,u=10m/s, v is unknown, ...
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Answered by Dominic H. • Maths tutor
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