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How exactly does integration by parts work?

Integration by parts can be considered as the inverse method of differentiation using the product rule. With the product rule we have: d(fg)/dx = f(dg/dx) + g*(df/dx) where f and g are functions ...

FI
Answered by Fahad I. Maths tutor
2964 Views

The equation of a curve is y = (x + 3)^2 + 5. Find the coordinates of the turning point.

We are asked to find the coordinates of the turning point of a line, and we should first remind ourselves of what this means. A turning point on a line is either a maximum or minimum...

MS
Answered by Marnie S. Maths tutor
9879 Views

There are 10 boys and 20 girls in a class. The mean mark for the class is 60, the mean mark for the girls is 54. Work out the mean mark for the boys.

Answer: The boys mean mark is 72.Explanation:Start by writing down all the information given in the question: (number of boys = 10, number of girls = 20, girls mean = 54, class mean = 60)Then have a think...

VB
Answered by Verity B. Maths tutor
10131 Views

How do you solve simultaneous equations?

A simultaneous equation is when we have 2 equations which both have X and Y in them. The best way to solve these equations is to rearrange one of them to make either X or Y the subject, and then substitut...

CN
Answered by Charlie N. Maths tutor
2889 Views

Differentiate y = x^2 + 3x + 5

y = x2 + 3x + 5
dy/dx = 2x + 3

JM
Answered by Jonny M. Maths tutor
6704 Views

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