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How do I do this question: A small stone is projected vertically upwards from the point A with speed 11.2 m/s. Find the maximum height above A reached by the stone.

[Draw Diagram] We are given the inital velocity u=11.2m/s and we know the acceleration due to gravity is 9.8m/s^2. We need to find the distance 's'. When the stone is at its highest point the velocity will b...
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Answered by Luke W. Maths tutor
6283 Views

Differentiate y=(x^2+5)^7

In this example instead of multiplying out 7 brackets it is useful to use the chain rule, which is used to differentiate the composition of more than one function. If we let what is inside the bracket equal ...
RB
Answered by Rachel B. Maths tutor
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How do I know which method of integration to use?

In reality there's no way to know for certain and in fact some integrals can actually be proven to be impossible but they won't give you those in the exam. There's only really two main methods that you'll ne...
OR
Answered by Oliver R. Maths tutor
3893 Views

find the derivative of the following equation: a) y = 5x^3 - 4x^-4 + xb

Ans: dy/dx = 15x^2 + 16x^-5 + b To solve for the first part of the right hand side, remember to bring the power of 3 forward and multiply, then reduce our power by 1 to leave 15x^2. For the second part, be c...
TD
Answered by Tutor38942 D. Maths tutor
4364 Views

How to do Integration by Parts?

If we are given an integral where the integrand (stuff in between the integral symbol and dx) is a product of two separate functions. we then allow whichever of the functions that will be easier to different...
JB
Answered by Jonathon B. Maths tutor
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