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What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

To answer this question, we must use our knowledge of integration and differentiation.

First, we look at the information given to us. We have been told that the gradient of the curve is ...

Answered by Lara B. • Maths tutor

11477 Views

Simplify fully (x^2*x^3)/x^4

This question requires knowledge of the rules of indices.

The first rule we need to use is that when multiplying indices with the same base (which in this case is x), the indices are add...

Answered by Florence W. • Maths tutor

6871 Views

How do you integrate 3x^2 - 6x + 5 (wrt x)?

To integrate any term, add one to the power of x and divide the co-efficient (amount of x) by the new power, so xⁿ becomes x⁽ⁿ⁺¹⁾/(n+1).
Using this, 3x² becomes 1x

Answered by Simon C. • Maths tutor

7966 Views

Solve the simultaneous equations '2X+Y=7' and '3X-Y=8'

In order to solve this question we need to remove one variable, either X or Y. Let us remove X in this case. The coefficents of X are 2 and 3. Their lowest common multiplte is 6. We can therefore get b...

Answered by Arjan P. • Maths tutor

10553 Views

The variable x=t^2 and the variable y=2t. What is dy/dx in terms of t?

This question may seem difficult but we just have to remember the rules of parametric differentiation and the chain rule.
The chain rules states that dy/dx=dy/dz*dz/dx where z is a third variable. Pa...

Answered by Samradnyee K. • Maths tutor

16399 Views