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Maths
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How would you integrate ln(x) with respect to x?

Consider the function as 1(ln(x)) and then use integrating by parts, where you would differentiate the ln(x) part.

WC
Answered by William C. Maths tutor
3449 Views

Solve 5x – 3 > 3x + 11

5x - 3x > 11 + 3

2x > 14

x > 7

IM
Answered by Isobel M. Maths tutor
9144 Views

f:x-->2x^2+1 and g:x--> 2x/(x-1) where x is not equal to 1. express the composite function gf as simply as possible

need to put f equation into g equation so replace x in g equation with 2x^2+1 gf : x --> 2(2x^2+1) / ((2x^2+1)-1) then need to simplify (expand brackets) 4x^2 + 2 / 2x^2 divide all by 2 (common factor)...

EI
Answered by Elysa I. Maths tutor
6088 Views

Factorise 3y^2 + 2y

Factorise = take out common term (y in this case)

so divide each by y

i.e. 3y^2 / y = 3y

2y / y = 2

thus factorised:

= y(3y+2)

EI
Answered by Elysa I. Maths tutor
12054 Views

Jamil has 5 litres of water in a container. He pours 750 millilitres of water into each of 6 bottles. (c) How much water is left in the container? Give your answer in millilitres.

5L water = 5000mL

because 1L = 1000mL so multiply by 5

if 750mL is poured into 6 bottles, first need to see how much total has been poured.

therefore, do 750mL * 6 = 4500mL

so ...

EI
Answered by Elysa I. Maths tutor
6022 Views

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